Worksheet to identify congruent or similar shapes.

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 Squares

- Left: Square (upright)
- Right: Square (rotated 45°)
- Both are squares — same size, just rotated.
✔ Congruent

> ✔ Check: Congruent

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2. Blue Ovals

- Left: Larger oval
- Right: Smaller oval
- Same shape (oval), but different sizes.
✔ Similar

> ✔ Check: Similar

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3. Purple Circles

- Left: Larger circle
- Right: Smaller circle
- Same shape, different sizes.
✔ Similar

> ✔ Check: Similar

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4. Green Triangles

- Left: Triangle pointing up
- Right: Triangle pointing down (inverted)
- Same shape and size — just flipped.
✔ Congruent

> ✔ Check: Congruent

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5. Yellow Cross-like Shapes

- Left: Plus-shaped (like a cross)
- Right: Rotated version of same shape
- But wait: Are they the same size?
- They look identical in size and shape, just rotated.
✔ Congruent

> ✔ Check: Congruent

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6. Blue Rounded Rectangles

- Left: Wider rectangle with rounded corners
- Right: Narrower one
- Same general shape, but different proportions.
✘ Not same size or proportion → Not congruent
- However, both are rectangles with rounded corners — similar in form?
- But similar shapes must have proportional sides and same angles.
- These appear to have different aspect ratios, so not similar either?

Wait: Let's think carefully.

They’re both rectangles with rounded corners — but if one is longer and narrower than the other, then they’re not similar unless scaled proportionally.

But from visual inspection, they seem like different sizes and possibly different proportions.

But since the roundedness appears consistent, and the overall shape is preserved, it could be argued as similar.

However, in most educational contexts, such shapes are considered congruent only if identical in size and shape.

Here, the right one looks smaller, so likely not congruent.

Are they similar? If they are scaled versions, yes.

But visually, they don't seem to be exact scale models — the width-to-height ratio might differ.

So best judgment: Not congruent, but possibly similar.

But without exact measurements, we rely on appearance.

Looking closely: The left one is wider, the right one is shorter and more compact.

→ Likely not similar either, because similarity requires proportional scaling.

So probably: ✘ Neither? But we must choose one.

In typical worksheets like this, if two shapes are clearly same shape, different size, even if not perfectly proportional, they're labeled similar.

But here, the difference in proportion suggests they are not similar.

Wait — actually, these look like identical shapes, just placed differently?

No — left is wider, right is smaller and more squished.

So likely: Neither congruent nor similar? But we must pick.

Best guess: Not congruent, but similar — assuming they are scaled versions.

But based on appearance, they don’t look scaled — the rounding might be inconsistent.

Alternatively, perhaps they are meant to be congruent?

Wait — no, the left one is clearly larger.

So: Not congruent, but shape is same type → Similar?

Actually, similar means same shape, different size, proportional.

If they are rectangles with rounded corners, and one is smaller, but not proportionally scaled, then not similar.

But for simplicity in grade school, often such shapes are considered similar.

Given ambiguity, but based on standard interpretation:

👉 Similar

> ✔ Check: Similar

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7. Green Cross Shapes

- Left: Larger green cross
- Right: Smaller green cross
- Same shape, different size
✔ Similar

> ✔ Check: Similar

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8. Red Hexagon-like Shapes

- Left: Looks like a hexagon with flat top/bottom
- Right: Same shape, but rotated and possibly flipped?
- Wait — are they the same size?

Yes — they look identical in size and shape, just rotated.

So: ✔ Congruent

> ✔ Check: 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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📝 Explanation Summary:

- Congruent: Same size and shape (can be rotated/reflected).
- Similar: Same shape, different size (proportional).

Let me know if you'd like a printable version or explanation for kids!