Congruent & Similar Shapes worksheet - Free Printable

Let's solve this step by step. The task is to determine whether each pair of shapes is congruent, similar, or none of the two.

Definitions:

- Congruent: Two figures are congruent if they have the same shape and size (they can be rotated, reflected, or translated, but not resized).
- Similar: Two figures are similar if they have the same shape but different sizes (one is a scaled version of the other).
- None of the two: If they differ in both shape and size, or one is not a scaled version of the other.

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Now let’s analyze each pair:

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1.
Two blue squares — one is a regular square, the other has wavy edges.
→ They are not the same shape.
✔ Answer: None of the two

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2.
Two right triangles — one is larger than the other. But they appear to have the same angles and proportional sides.
→ Same shape, different size → similar
✔ Answer: Similar

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3.
Two hexagons — one is smaller than the other, but both look like regular hexagons (6 equal sides).
→ Same shape, different size → similar
✔ Answer: Similar

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4.
Two rectangles with wavy tops — both are identical in shape and size.
→ Same shape and size → congruent
✔ Answer: Congruent

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5.
Two semicircles — both are half-circles, same size and shape.
→ Same shape and size → congruent
✔ Answer: Congruent

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6.
Two L-shaped figures — one is larger than the other, but the shape is the same (scaled).
→ Same shape, different size → similar
✔ Answer: Similar

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7.
Two sun emojis — same shape, same size, just different facial expressions (but the overall figure is the same).
→ Same shape and size → congruent
✔ Answer: Congruent

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8.
Two dog emojis — same shape, same size, just facing different directions.
→ Same shape and size → congruent
✔ Answer: Congruent

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9.
Two star emojis — one yellow, one purple. But they have the same number of points and shape.
→ Same shape, same size → congruent
✔ Answer: Congruent

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10.
A flower and a tree — completely different shapes.
→ Not the same shape, not scaled versions.
✔ Answer: None of the two

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Final Answers:

1. None of the two
2. Similar
3. Similar
4. Congruent
5. Congruent
6. Similar
7. Congruent
8. Congruent
9. Congruent
10. None of the two

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