Multi-Step Transformation Beginner-Intermediate Worksheet: Focus on common variations practice Multi-Step Transformation BEGINNER INTERMEDIATE

Level up your Multi-Step Transformation skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: multi-step transformation for competitive exams, how to solve multi-step transformation, multi-step transformation tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:
Your progress through Multi-Step Transformation
Worksheet 4 of 10 (33% complete)

Question 1

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 2

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 3

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 4

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 5

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 6

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 7

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 8

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 9

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 10

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 11

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 12

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 13

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 14

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 15

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 16

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 17

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 18

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 19

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)

Question 20

Figure Analogy: A : B :: C : ? A→B: Rotated 45° clockwise + scaled 1.3x + colors inverted. Apply all three to C.
Step-by-Step Solution:

STEP 1: Identify First Transformation - Rotation
- Figure A: Diamond (square rotated 45°)
- Figure B: Diamond rotated further (additional 45° clockwise)
- First transformation: 45° clockwise rotation

STEP 2: Identify Second Transformation - Scaling
- Measure A diagonal span: Approximately 36 units
- Measure B diagonal span: Approximately 48 units
- Calculate ratio: 48/36 ≈ 1.33 (approximately 1.3)
- Second transformation: 1.3× scaling (30% enlargement)

STEP 3: Identify Third Transformation - Color Inversion
- Figure A fill: White (light), dot: Black (dark)
- Figure B fill: Black (dark), dot: White (light)
- Third transformation: Complete color/shading inversion

STEP 4: Analyze Figure C
- Shape: Rectangle (horizontal orientation)
- Size: Standard (40×34 units)
- Colors: White background, black internal lines
- Internal elements: 2 perpendicular lines (cross pattern)

STEP 5: Apply Transformations in Sequence
- Rotate 45° clockwise → Rectangle becomes tilted (diamond-like)
- Scale 1.3× → All dimensions multiplied by 1.3
- Invert colors → Black background, white lines

Answer: Rectangle rotated 45° clockwise, dimensions enlarged by 1.3×, with inverted coloring (black fill with white cross lines inside)
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