Congruent or Similar Shapes Worksheet worksheet - Free Printable

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 angles, same side lengths).
- Similar: Shapes that have the same shape but may differ in size (proportional sides, same angles).

We’ll analyze each pair:

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1.

Left: Red square
Right: Rotated red square (diamond-shaped)

✔ Same size, same shape — just rotated.
➡️ Congruent

> ✔ Check: Congruent
> ✘ Not Similar (they're congruent, so similar is also true, but "congruent" is more specific)

But note: All congruent shapes are similar, but not vice versa.
However, since the question asks to check one or both, we choose Congruent when applicable.

✔ Answer: Congruent

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2.

Left: Blue oval
Right: Smaller blue oval

Same shape (oval), but different sizes — one is smaller than the other.
So they are similar, but not congruent.

✔ Answer: Similar

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3.

Left: Large purple circle
Right: Small purple circle

Same shape, different sizes → Similar, not congruent.

✔ Answer: Similar

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4.

Left: Green triangle
Right: Green triangle flipped upside down

Same shape, same size — just orientation changed.
✔ Congruent

> ✔ Answer: Congruent

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5.

Left: Yellow cross (plus sign)
Right: Yellow star-like shape with arms bent inward

These are not the same shape. The left is a cross with straight arms, the right has angled arms — different structure.
They are neither congruent nor similar.

✘ Neither

Wait — let’s look closely:
Actually, these appear to be the same shape, just rotated?
No — the second one looks like a cross rotated and possibly distorted?

But upon closer inspection:
The first is a standard plus (+) shape.
The second is a star-like cross with arms bent outward — it's not the same shape.

So: Not congruent, not similar.

But wait — if they were scaled versions of the same shape, they’d be similar. But here, the angles and proportions are different.

👉 Neither congruent nor similar

But since the worksheet only gives options for “Congruent” or “Similar”, and neither applies, we must pick only if one fits.

But in this case, neither applies.

Wait — actually, if they are the same shape but rotated or reflected, then they’re congruent.

But here, the shapes are different: one is a regular cross, the other has angled corners — not the same.

So: ✘ Neither

But perhaps I'm missing something.

Let me re-express:

- Shape 5 left: A yellow cross made of 4 rectangles extending from a center.
- Shape 5 right: A yellow shape that looks like a four-pointed star, but with rounded corners? No — it looks like a square with arrowheads on each side.

Wait — actually, looking at the image carefully:
It might be that both are identical shapes, just rotated?

But no — the right one appears to be rotated 45 degrees, but same shape?

Wait — yes! It's a cross with arms extending, and the right one is the same cross rotated 45° — but it’s not.

Wait — the right one has angled corners — like a pinwheel or star.

But actually, looking again:
It's possible that both are the same shape, just one is rotated and one is not.

But the right one seems to have bent arms — like a non-regular cross.

Wait — maybe they are both the same shape, but the right one is rotated.

But the left one has straight arms, the right one has arms bent at corners — so they are not the same shape.

So: ✘ Not congruent, not similar.

But the worksheet expects us to choose one.

Alternatively, perhaps the right one is a rotated version of the left one — but visually, it looks like a different figure.

Wait — actually, both are crosses, but the right one is rotated 45°, and the left one is upright.

But if the arms are straight and equal, then rotating doesn’t change the shape.

But the right one appears to have diagonal arms — so it's the same shape, just rotated.

Yes — it's likely the same shape, just rotated.

So: Congruent

✔ Answer: Congruent

(If they are identical in size and shape, just rotated.)

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6.

Left: Blue rectangle
Right: Smaller blue rectangle

Same shape, different size → Similar, not congruent.

✔ Answer: Similar

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7.

Left: Green cross (like a plus sign)
Right: Green cross, but smaller and possibly rotated?

But both are same shape, different size → Similar

But are they the same shape?

Yes — both are crosses with equal arms.

So: Similar (not congruent because different sizes)

✔ Answer: Similar

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8.

Left: Red hexagon-like shape (looks like a hexagon with flat top/bottom)
Right: Red shape — looks like a parallelogram or rhombus?

Wait — let's see:

Left: A hexagon with two parallel sides and four others — looks like a regular hexagon?

No — it's a six-sided shape with alternating long and short sides? Or is it a trapezoid?

Actually, it looks like a hexagon with two vertical sides and four slanted ones.

Right: Looks like a parallelogram or rhombus — only 4 sides.

Wait — count the sides:

- Left: 6 sides — a hexagon
- Right: 4 sides — a quadrilateral

So different number of sides → not the same shape

So: ✘ Neither congruent nor similar

But again, we must choose.

Wait — maybe both are hexagons?

Look again:

Left: Looks like a hexagon — 6 sides
Right: Looks like a pentagon or quadrilateral?

No — the right one has 6 sides too — it's a hexagon with a different shape.

But the left is a symmetrical hexagon (like a stretched diamond), the right is a distorted hexagon — but could it be the same shape?

Wait — the left is a regular hexagon? No — it's not regular.

Actually, both are hexagons — six sides.

But are they similar?

The left one is symmetric, the right one is skewed — different angles.

But if they are same shape, different size or orientation, they'd be similar.

But here, the right one looks like it’s rotated and reflected?

Wait — actually, the left is a hexagon with horizontal top and bottom, and the right is a hexagon rotated 90°?

But the shapes appear to be identical, just rotated.

Yes — if you rotate the left one 90°, it matches the right one.

So: Same shape, same size → Congruent

✔ Answer: Congruent

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Final Answers:

| # | Answer |
|---|--------------|
| 1 | Congruent |
| 2 | Similar |
| 3 | Similar |
| 4 | Congruent |
| 5 | Congruent *(assuming same shape, rotated)* |
| 6 | Similar |
| 7 | Similar |
| 8 | Congruent |

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✔ Final Answer Key:

1. ☐ Congruent ✔ ✓
☐ Similar

2. ☐ Congruent
☐ Similar ✔ ✓

3. ☐ Congruent
☐ Similar ✔ ✓

4. ☐ Congruent ✔ ✓
☐ Similar

5. ☐ Congruent ✔ ✓
☐ Similar

6. ☐ Congruent
☐ Similar ✔ ✓

7. ☐ Congruent
☐ Similar ✔ ✓

8. ☐ Congruent ✔ ✓
☐ Similar

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📝 Explanation Summary:

- Congruent = same size and shape (can be rotated/reflected)
- Similar = same shape, different size
- Neither = different shapes

For each pair:
- If same shape and size → Congruent
- If same shape, different size → Similar
- If different shapes → neither (but worksheet assumes one applies)

We assumed shapes are as drawn and some are rotated versions.

✔ Final Answers:
1. Congruent
2. Similar
3. Similar
4. Congruent
5. Congruent
6. Similar
7. Similar
8. Congruent