Let's solve this
"Congruent or Similar Shapes Worksheet" step by step.
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🔷 Definitions:
-
Congruent: Shapes that are
exactly the same in size and shape (same dimensions, can be rotated or reflected).
-
Similar: Shapes that have the
same shape but may differ in size (proportional sides, same angles).
Now let’s analyze each pair:
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1. Red Square vs Rotated Red Square
- Both are squares.
- Same size, just one is rotated.
✔ Congruent ✔
✘ Not similar (they are congruent, so not just similar)
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✔ Answer: Congruent
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2. Blue Oval vs Smaller Blue Oval
- Both ovals, but different sizes.
- Same shape, different size → proportional.
✔ Similar
✘ Not congruent (different sizes)
>
✔ Answer: Similar
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3. Purple Circle vs Smaller Purple Circle
- Both circles, but different sizes.
- All circles are similar (same shape), but only congruent if same size.
✔ Similar
✘ Not congruent
>
✔ Answer: Similar
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4. Green Triangle vs Inverted Green Triangle
- Same triangle shape, same size, just flipped upside down.
- Rotation/reflection doesn’t change congruence.
✔ Congruent
✘ Not similar (they are congruent)
>
✔ Answer: Congruent
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5. Yellow Cross-Shaped Figure vs Rotated Yellow Cross
- Look at the shapes: both appear to be identical cross-shaped figures.
- One is rotated, but same size and shape.
✔ Congruent
✘ Not similar
>
✔ Answer: Congruent
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6. Blue Rounded Rectangle vs Smaller Blue Rounded Rectangle
- Same shape, but different sizes.
- The right one is smaller.
✔ Similar
✘ Not congruent
>
✔ Answer: Similar
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7. Green Plus-Shaped Figure vs Smaller Green Plus
- Both are the same "plus" shape, but the one on the right is smaller.
- Same shape, different size → similar.
✔ Similar
✘ Not congruent
>
✔ Answer: Similar
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8. Red Hexagon-Like Shape vs Rotated Red Shape
- These look like two
identical hexagons (possibly irregular), but one is rotated.
- Same size, same shape, just rotated.
✔ Congruent
✘ Not similar
>
✔ Answer: Congruent
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✔ Final Answers:
| # | Answer |
|---|--------------|
| 1 | Congruent |
| 2 | Similar |
| 3 | Similar |
| 4 | Congruent |
| 5 | Congruent |
| 6 | Similar |
| 7 | Similar |
| 8 | Congruent |
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📝 Summary:
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Congruent: Same shape and size (can be rotated/reflected).
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Similar: Same shape, different size.
Check the boxes accordingly!
Parent Tip: Review the logic above to help your child master the concept of congruent and similar shapes worksheet.
