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Figure Analogy - Intermediate Level: image analogies INTERMEDIATE

Comprehensive weakness targeting worksheet covering 20 intermediate-level figure analogy problems. Worksheet 18 of 30 emphasizes image analogies. Master graphical comparisons, design analogies, figure mapping through detailed explanations. Difficulty: moderate complexity with mixed patterns. Tailored for mid-level preparation.

📝 Worksheet 18 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Figure Analogy
Worksheet 18 of 30 (60% complete)

Question 1

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)
reflection, mirror, axis-symmetry

Question 2

Figure Analogy: A : B :: C : ? Rule: If a figure has more than 4 sides, add a central dot. Otherwise, keep unchanged. Apply to C.
Step-by-Step Solution:

STEP 1: Analyze Figure A Properties
- Shape: Pentagon (5-sided polygon)
- Sides count: 5 > 4 ✓
- Internal elements: None initially

STEP 2: Analyze Figure B (Result)
- Shape: Pentagon (5-sided polygon - same as A)
- Internal elements: One central dot added
- Transformation applied: Dot added (condition met)

STEP 3: Extract Transformation Rule
- Condition: Count number of sides
- Decision point: Compare to 4
- If sides > 4: Add central dot
- If sides ≤ 4: No change

STEP 4: Analyze Figure C Properties
- Shape: Rectangle (4-sided polygon)
- Sides count: 4 = 4 (NOT greater than 4)
- Current internal elements: None

STEP 5: Apply Conditional Rule to C
- Rectangle has 4 sides
- Is 4 > 4? NO
- Condition NOT met
- Action: NO transformation (keep unchanged)

Answer: Rectangle remains completely unchanged (has exactly 4 sides, does not meet the "> 4" condition)
conditional, rule-based, logical-condition

Question 3

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)
reflection, mirror, axis-symmetry

Question 4

Figure Analogy: A : B :: C : ? Rule: If a figure has more than 4 sides, add a central dot. Otherwise, keep unchanged. Apply to C.
Step-by-Step Solution:

STEP 1: Analyze Figure A Properties
- Shape: Pentagon (5-sided polygon)
- Sides count: 5 > 4 ✓
- Internal elements: None initially

STEP 2: Analyze Figure B (Result)
- Shape: Pentagon (5-sided polygon - same as A)
- Internal elements: One central dot added
- Transformation applied: Dot added (condition met)

STEP 3: Extract Transformation Rule
- Condition: Count number of sides
- Decision point: Compare to 4
- If sides > 4: Add central dot
- If sides ≤ 4: No change

STEP 4: Analyze Figure C Properties
- Shape: Rectangle (4-sided polygon)
- Sides count: 4 = 4 (NOT greater than 4)
- Current internal elements: None

STEP 5: Apply Conditional Rule to C
- Rectangle has 4 sides
- Is 4 > 4? NO
- Condition NOT met
- Action: NO transformation (keep unchanged)

Answer: Rectangle remains completely unchanged (has exactly 4 sides, does not meet the "> 4" condition)
conditional, rule-based, logical-condition

Question 5

Figure Analogy: A : B :: C : ? Figure A has 1 dot. Figure B has 2 dots (1 more). Apply the same transformation to Figure C.
Step-by-Step Solution:

STEP 1: Count Elements in A and B
- Figure A: Square + 1 dot
- Figure B: Square + 2 dots
- Change: +1 dots added

STEP 2: Apply to Figure C
- Figure C: Different container + 1 dot
- Add 1 more dots
- Result: Container + 2 dots total

Answer: Circle with 2 dots (1 original + 1 added)
element-count, addition, quantitative

Question 6

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 4: Analyze Figure C
- Outer shape: Hexagon (6 sides)
- Inner shape: Diamond (4 sides)

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.
abstract, complex-pattern, advanced-reasoning

Question 7

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.
Step-by-Step Solution:

STEP 1: Identify Numerical Pattern
- A: 1 dot(s)
- B: 2 dot(s)
- Change: +1 dot(s) added

STEP 2: Apply to Figure C
- C: 1 dot(s) (different container)
- Add 1 more dot(s)
- Result: 2 dots total

Answer: Circle with 2 dots (1 more than original)
quantitative, progression, element-addition

Question 8

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 4: Analyze Figure C
- Outer shape: Hexagon (6 sides)
- Inner shape: Diamond (4 sides)

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.
abstract, complex-pattern, advanced-reasoning

Question 9

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 ✓

Answer: Rectangle rotated 90° clockwise (becomes vertical)
rotation, orientation, basic-transformation

Question 10

Figure Analogy: A : B :: C : ? A shows circle UNION square, B shows their combined region. C shows hexagon + trapezoid. What is the union?
Step-by-Step Solution:

STEP 1: Understand Set Operation in A
- Component 1: Circle
- Operation symbol: + (indicates union/combination)
- Component 2: Rectangle
- Components: Overlapping or adjacent

STEP 2: Analyze Result in B
- Single unified region combining both shapes
- Overlapping area counted once (not double-shaded)
- Boundary: Outer perimeter of combined shape
- Operation: UNION (∪) in set theory = Combined area

STEP 3: Identify Components in C
- Component 1: Hexagon
- Operation symbol: + (same as in A)
- Component 2: Trapezoid
- Relationship: Adjacent or overlapping

STEP 4: Construct Union of C
- Merge hexagon and trapezoid
- Create single continuous region
- Outer boundary: Traces perimeter of combined shape
- Interior: All area covered by either polygon

Answer: Single merged region containing all area covered by either hexagon or trapezoid
set-operations, union, geometric-logic

Question 11

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 4: Analyze Figure C
- Outer shape: Hexagon (6 sides)
- Inner shape: Diamond (4 sides)

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.
abstract, complex-pattern, advanced-reasoning

Question 12

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: Square with inscribed square (inner becomes square)
shape-change, morphing, property-matching

Question 13

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)
reflection, mirror, axis-symmetry

Question 14

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.
Step-by-Step Solution:

STEP 1: Identify Numerical Pattern
- A: 1 dot(s)
- B: 2 dot(s)
- Change: +1 dot(s) added

STEP 2: Apply to Figure C
- C: 1 dot(s) (different container)
- Add 1 more dot(s)
- Result: 2 dots total

Answer: Square with 2 dots (1 more than original)
quantitative, progression, element-addition

Question 15

Figure Analogy: A : B :: C : ? Figure A has 1 dot. Figure B has 3 dots (2 more). Apply the same transformation to Figure C.
Step-by-Step Solution:

STEP 1: Count Elements in A and B
- Figure A: Circle + 1 dot
- Figure B: Circle + 3 dots
- Change: +2 dots added

STEP 2: Apply to Figure C
- Figure C: Different container + 1 dot
- Add 2 more dots
- Result: Container + 3 dots total

Answer: Square with 3 dots (1 original + 2 added)
element-count, addition, quantitative

Question 16

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
rotation, inversion, complex-orientation

Question 17

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
inversion, shading, color-swap

Question 18

Figure Analogy: A : B :: C : ? Rule: If a figure has more than 4 sides, add a central dot. Otherwise, keep unchanged. Apply to C.
Step-by-Step Solution:

STEP 1: Analyze Figure A Properties
- Shape: Pentagon (5-sided polygon)
- Sides count: 5 > 4 ✓
- Internal elements: None initially

STEP 2: Analyze Figure B (Result)
- Shape: Pentagon (5-sided polygon - same as A)
- Internal elements: One central dot added
- Transformation applied: Dot added (condition met)

STEP 3: Extract Transformation Rule
- Condition: Count number of sides
- Decision point: Compare to 4
- If sides > 4: Add central dot
- If sides ≤ 4: No change

STEP 4: Analyze Figure C Properties
- Shape: Rectangle (4-sided polygon)
- Sides count: 4 = 4 (NOT greater than 4)
- Current internal elements: None

STEP 5: Apply Conditional Rule to C
- Rectangle has 4 sides
- Is 4 > 4? NO
- Condition NOT met
- Action: NO transformation (keep unchanged)

Answer: Rectangle remains completely unchanged (has exactly 4 sides, does not meet the "> 4" condition)
conditional, rule-based, logical-condition

Question 19

Figure Analogy: A : B :: C : ? Rule: If a figure has more than 4 sides, add a central dot. Otherwise, keep unchanged. Apply to C.
Step-by-Step Solution:

STEP 1: Analyze Figure A Properties
- Shape: Pentagon (5-sided polygon)
- Sides count: 5 > 4 ✓
- Internal elements: None initially

STEP 2: Analyze Figure B (Result)
- Shape: Pentagon (5-sided polygon - same as A)
- Internal elements: One central dot added
- Transformation applied: Dot added (condition met)

STEP 3: Extract Transformation Rule
- Condition: Count number of sides
- Decision point: Compare to 4
- If sides > 4: Add central dot
- If sides ≤ 4: No change

STEP 4: Analyze Figure C Properties
- Shape: Rectangle (4-sided polygon)
- Sides count: 4 = 4 (NOT greater than 4)
- Current internal elements: None

STEP 5: Apply Conditional Rule to C
- Rectangle has 4 sides
- Is 4 > 4? NO
- Condition NOT met
- Action: NO transformation (keep unchanged)

Answer: Rectangle remains completely unchanged (has exactly 4 sides, does not meet the "> 4" condition)
conditional, rule-based, logical-condition

Question 20

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 4: Analyze Figure C
- Outer shape: Hexagon (6 sides)
- Inner shape: Diamond (4 sides)

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.
abstract, complex-pattern, advanced-reasoning
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