Master figure analogy concepts through this excellence pursuit practice set. Worksheet 16 of 30 contains 20 intermediate-level problems. Deep dive into visual analogies while learning shape relationships, image analogies, graphical comparisons. Recommended for mid-level learners aiming for moderate complexity with mixed patterns.
Master shape relationships through focused visual analogies practice
Learn image analogies with intermediate-level examples
Build speed in solving figure analogy using excellence pursuit techniques
Understand common patterns in graphical comparisons
Apply logical thinking to visual analogies scenarios
Your progress through Figure Analogy
Worksheet 16 of 30 (53% complete)
Question 1
Figure Analogy: A : B :: C : ?
Figure A is rotated 180° to become Figure B.
Apply the same 180° rotation to Figure C.
Step-by-Step Solution:
STEP 1: Identify Rotation Angle - A and B: 180° rotation (half turn) - Every point moves to opposite side
STEP 2: Apply to Figure C - Rotate C 180° around its center - Shape preserved, orientation inverted - Dot moves to opposite position
Answer: Diamond rotated 180° (upside down) with dot repositioned
Question 2
Figure Analogy: A : B :: C : ?
Figure A is rotated 180° to become Figure B.
Apply the same 180° rotation to Figure C.
Step-by-Step Solution:
STEP 1: Identify Rotation Angle - A and B: 180° rotation (half turn) - Every point moves to opposite side
STEP 2: Apply to Figure C - Rotate C 180° around its center - Shape preserved, orientation inverted - Dot moves to opposite position
Answer: Diamond rotated 180° (upside down) with dot repositioned
Question 3
Figure Analogy: A : B :: C : ?
In A→B, all shaded regions become unshaded and vice versa (color inversion).
Apply the same inversion to Figure C.
Step-by-Step Solution:
STEP 1: Identify Transformation - A: Light background, dark internal elements - B: Dark background, light internal elements - Rule: Complete color/shading inversion
STEP 2: Apply to Figure C - C: Light background, dark internal elements - After inversion: Dark background, light internal elements - All positions and shapes preserved
Answer: Circle with inverted shading
Question 4
Figure Analogy: A : B :: C : ?
Figure A is rotated 90° anticlockwise to become Figure B.
What should Figure '?' look like when the same rotation is applied to Figure C?
Step-by-Step Solution:
STEP 1: Identify the Transformation - Figure A: Arrow in original orientation - Figure B: Same arrow rotated 90° anticlockwise - Transformation: 90° anticlockwise rotation
STEP 2: Apply to Figure C - Figure C: Rectangle (horizontal orientation) - After 90° anticlockwise rotation: Rectangle becomes vertical - The shape remains a rectangle, only orientation changes
STEP 3: Verify - Shape preserved ✓ - Size preserved ✓ - Only orientation changed by 90° anticlockwise ✓
Figure Analogy: A : B :: C : ?
In A→B, the inner square becomes a circle (matching the outer circle's shape).
Apply the same transformation to C.
Step-by-Step Solution:
STEP 1: Identify Transformation Rule - A: Circle (outer) + Square (inner) - B: Circle (outer) + Circle (inner) - Rule: Inner shape transforms to match outer shape type
STEP 2: Apply to Figure C - C: Triangle (outer) + Square (inner) - Transform inner square to match outer triangle - Result: Triangle with inscribed triangle
Answer: Circle with inscribed circle (inner becomes circle)
Question 6
Figure Analogy: A : B :: C : ?
Figure A is reduced to 0.5× original size to become Figure B.
What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:
STEP 1: Identify the Scaling Factor - Figure A square: 25 units - Figure B square: 12 units - Scaling factor = 12/25 = 0.5
STEP 2: Apply to Figure C - Figure C: Circle - Apply scaling factor 0.5 - New dimensions = original × 0.5
STEP 3: Verify - Shape type preserved ✓ - Proportions preserved ✓ - Only size changed ✓
Answer: Circle reduced to 0.5× original size
Question 7
Figure Analogy: A : B :: C : ?
Pattern: The number of sides of the outer shape becomes the number of sides of the inner shape, and the inner shape's side count determines the new outer shape's side count through a progressive relationship (Circle→Hexagon→Octagon). Apply to C.
Step-by-Step Solution:
STEP 1: Analyze Figure A - Outer shape: Circle (can be considered as infinite or 0 sides) - Inner shape: Diamond (4 sides)
STEP 2: Analyze Figure B - Outer shape: Hexagon (6 sides) - Inner shape: Circle (infinite sides)
STEP 3: Identify the Pattern Looking at the progression: - A: Outer Circle (∞), Inner Diamond (4) - B: Outer Hexagon (6), Inner Circle (∞)
The transformation swaps and transforms side counts: - The inner shape's side count (4) becomes part of the new outer shape - The pattern shows: 4 → 6 → 8 (increasing by 2 each time) - Circle (∞) acts as a placeholder that transforms to the next polygon in sequence
STEP 5: Apply Pattern to C Following the established pattern: - The inner diamond has 4 sides → following the 4→6→8 progression, this contributes to the new outer shape - The outer hexagon has 6 sides → this becomes the new inner shape's side count - Therefore: New outer = Octagon (8 sides), New inner = Hexagon (6 sides)
STEP 6: Verify Pattern Consistency - A: Circle (∞) + Diamond (4) → B: Hexagon (6) + Circle (∞) - C: Hexagon (6) + Diamond (4) → ?: Octagon (8) + Hexagon (6) - The pattern shows that the inner shape's side count determines the progression of the outer shape
Answer: Octagon (8 sides) with hexagon (6 sides) inside
Key Insight: This problem tests recognition of progressive relationships where shapes evolve based on their side counts, with circle acting as a special case that transforms to the next polygon in the sequence.
Question 8
Figure Analogy: A : B :: C : ?
Figure A undergoes two transformations to become B: rotated 90° anticlockwise AND enlarged by 1.5x. Apply both to C.
Step-by-Step Solution:
STEP 1: Identify First Transformation (Rotation) - Figure A orientation: Triangle pointing right - Figure B orientation: Triangle pointing upward - First transformation: 90° anticlockwise rotation
STEP 2: Identify Second Transformation (Scaling) - Measure A dimensions: Small triangle (base ≈ 20 units) - Measure B dimensions: Larger triangle (base ≈ 30 units) - Second transformation: 1.5× scaling (enlargement by 50%)
STEP 3: Determine Transformation Sequence - Method 1: Rotate first, then scale - Method 2: Scale first, then rotate - Result: Same final figure (transformations commute) - Standard approach: Rotate, then scale
STEP 4: Apply Rotation to C (90° anticlockwise) - Original C: Vertical rectangle (height > width) - After rotation: Horizontal rectangle (width > height) - Internal dot: Rotates with figure to new position
STEP 5: Apply Scaling to Rotated C (1.5×) - Current dimensions: Already rotated rectangle - Apply 1.5× to both length and width - Internal dot: Maintains relative position, scales proportionally
STEP 6: Verify Combined Transformation - Original: Vertical rectangle, small size, dot at top - After rotation: Horizontal rectangle, small size, dot on left - After scaling: Horizontal rectangle, 1.5× larger, dot on left (scaled position)
Answer: Rectangle in horizontal orientation (rotated 90° anticlockwise), dimensions increased by 1.5×, with dot repositioned according to both transformations
Question 9
Figure Analogy: A : B :: C : ?
Figure A is enlarged by 2× to become Figure B.
What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:
STEP 1: Identify the Scaling Factor - Figure A square: 25 units - Figure B square: 50 units - Scaling factor = 50/25 = 2
STEP 2: Apply to Figure C - Figure C: Circle - Apply scaling factor 2 - New dimensions = original × 2
STEP 3: Verify - Shape type preserved ✓ - Proportions preserved ✓ - Only size changed ✓
Answer: Circle enlarged by 2×
Question 10
Figure Analogy: A : B :: C : ?
Figure A is rotated 90° clockwise to become Figure B.
What should Figure '?' look like when the same rotation is applied to Figure C?
Step-by-Step Solution:
STEP 1: Identify the Transformation - Figure A: L-shape in original orientation - Figure B: Same L-shape rotated 90° clockwise - Transformation: 90° clockwise rotation
STEP 2: Apply to Figure C - Figure C: Rectangle (horizontal orientation) - After 90° clockwise rotation: Rectangle becomes vertical - The shape remains a rectangle, only orientation changes
STEP 3: Verify - Shape preserved ✓ - Size preserved ✓ - Only orientation changed by 90° clockwise ✓
STEP 2: Apply to Figure C - C: 1 dot(s) (different container) - Add 2 more dot(s) - Result: 3 dots total
Answer: Circle with 3 dots (2 more than original)
Question 12
Figure Analogy: A : B :: C : ?
Figure A is rotated 180° to become Figure B.
Apply the same 180° rotation to Figure C.
Step-by-Step Solution:
STEP 1: Identify Rotation Angle - A and B: 180° rotation (half turn) - Every point moves to opposite side
STEP 2: Apply to Figure C - Rotate C 180° around its center - Shape preserved, orientation inverted - Dot moves to opposite position
Answer: Diamond rotated 180° (upside down) with dot repositioned
Question 13
Figure Analogy: A : B :: C : ?
Figure A is enlarged by 3× to become Figure B.
What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:
STEP 1: Identify the Scaling Factor - Figure A square: 25 units - Figure B square: 75 units - Scaling factor = 75/25 = 3
STEP 2: Apply to Figure C - Figure C: Circle - Apply scaling factor 3 - New dimensions = original × 3
STEP 3: Verify - Shape type preserved ✓ - Proportions preserved ✓ - Only size changed ✓
Answer: Circle enlarged by 3×
Question 14
Figure Analogy: A : B :: C : ?
Figure A is reflected across a horizontal axis to become Figure B.
Apply the same mirror reflection to Figure C to find '?'.
Step-by-Step Solution:
STEP 1: Identify Mirror Axis - Compare A and B: They are mirror images - Mirror axis: Horizontal
STEP 2: Properties of horizontal Mirror - Horizontal mirror: Left ↔ Right swap - All horizontal positions inverted - Vertical positions unchanged
STEP 3: Apply to Figure C - Reflect C across horizontal axis - Maintain shape type - Invert orientation
Answer: Figure mirrored across horizontal axis (mirror image of C)
Question 15
Figure Analogy: A : B :: C : ?
Figure A has 1 dot(s). Figure B has 3 dot(s) (2 more).
Apply the same transformation to Figure C.
STEP 2: Apply to Figure C - C: 1 dot(s) (different container) - Add 2 more dot(s) - Result: 3 dots total
Answer: Circle with 3 dots (2 more than original)
Question 16
Figure Analogy: A : B :: C : ?
In A→B, elements swap positions (left element moves right, right element moves left). Apply to C.
Step-by-Step Solution:
STEP 1: Map Element Positions in A - Container: Square - Element 1 (Circle): Left portion of square - Element 2 (Triangle): Right portion of square - Spatial arrangement: Circle | Triangle (left | right)
STEP 2: Map Element Positions in B - Container: Square (same) - Element 1 (Triangle): Left portion of square - Element 2 (Circle): Right portion of square - Spatial arrangement: Triangle | Circle (left | right)
STEP 3: Identify Transformation Type - Container: Unchanged (square remains square) - Element types: Unchanged (circle and triangle still present) - Element positions: Swapped (exchanged positions) - Transformation: Positional swap/exchange
STEP 4: Identify Elements in C - Container: Circle - Element 1 (Square): Left portion of circle - Element 2 (Line): Right portion of circle - Current arrangement: Square | Line (left | right)
STEP 5: Apply Position Swap to C - Element 1 (Square): Moves from left → right - Element 2 (Line): Moves from right → left - Result arrangement: Line | Square (left | right) - Container: Remains circle (unchanged)
Answer: Circle with line on left portion and square on right portion (positions swapped)
Question 17
Figure Analogy: A : B :: C : ?
Figure A is enlarged by 3× to become Figure B.
What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:
STEP 1: Identify the Scaling Factor - Figure A square: 25 units - Figure B square: 75 units - Scaling factor = 75/25 = 3
STEP 2: Apply to Figure C - Figure C: Circle - Apply scaling factor 3 - New dimensions = original × 3
STEP 3: Verify - Shape type preserved ✓ - Proportions preserved ✓ - Only size changed ✓
Answer: Circle enlarged by 3×
Question 18
Figure Analogy: A : B :: C : ?
In A→B, elements swap positions (left element moves right, right element moves left). Apply to C.
Step-by-Step Solution:
STEP 1: Map Element Positions in A - Container: Square - Element 1 (Circle): Left portion of square - Element 2 (Triangle): Right portion of square - Spatial arrangement: Circle | Triangle (left | right)
STEP 2: Map Element Positions in B - Container: Square (same) - Element 1 (Triangle): Left portion of square - Element 2 (Circle): Right portion of square - Spatial arrangement: Triangle | Circle (left | right)
STEP 3: Identify Transformation Type - Container: Unchanged (square remains square) - Element types: Unchanged (circle and triangle still present) - Element positions: Swapped (exchanged positions) - Transformation: Positional swap/exchange
STEP 4: Identify Elements in C - Container: Circle - Element 1 (Square): Left portion of circle - Element 2 (Line): Right portion of circle - Current arrangement: Square | Line (left | right)
STEP 5: Apply Position Swap to C - Element 1 (Square): Moves from left → right - Element 2 (Line): Moves from right → left - Result arrangement: Line | Square (left | right) - Container: Remains circle (unchanged)
Answer: Circle with line on left portion and square on right portion (positions swapped)
Question 19
Figure Analogy: A : B :: C : ?
Figure A undergoes two transformations to become B: rotated 90° anticlockwise AND enlarged by 1.5x. Apply both to C.
Step-by-Step Solution:
STEP 1: Identify First Transformation (Rotation) - Figure A orientation: Triangle pointing right - Figure B orientation: Triangle pointing upward - First transformation: 90° anticlockwise rotation
STEP 2: Identify Second Transformation (Scaling) - Measure A dimensions: Small triangle (base ≈ 20 units) - Measure B dimensions: Larger triangle (base ≈ 30 units) - Second transformation: 1.5× scaling (enlargement by 50%)
STEP 3: Determine Transformation Sequence - Method 1: Rotate first, then scale - Method 2: Scale first, then rotate - Result: Same final figure (transformations commute) - Standard approach: Rotate, then scale
STEP 4: Apply Rotation to C (90° anticlockwise) - Original C: Vertical rectangle (height > width) - After rotation: Horizontal rectangle (width > height) - Internal dot: Rotates with figure to new position
STEP 5: Apply Scaling to Rotated C (1.5×) - Current dimensions: Already rotated rectangle - Apply 1.5× to both length and width - Internal dot: Maintains relative position, scales proportionally
STEP 6: Verify Combined Transformation - Original: Vertical rectangle, small size, dot at top - After rotation: Horizontal rectangle, small size, dot on left - After scaling: Horizontal rectangle, 1.5× larger, dot on left (scaled position)
Answer: Rectangle in horizontal orientation (rotated 90° anticlockwise), dimensions increased by 1.5×, with dot repositioned according to both transformations
Question 20
Figure Analogy: A : B :: C : ?
Figure A has 1 dot(s). Figure B has 2 dot(s) (1 more).
Apply the same transformation to Figure C.