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Mathematics Worksheet

🔍 Similarity

Chapter: Geometry · Level ★★☆ · Time: 30 min
SCORE___ / 20
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After this worksheet you can
Use a scale factor to find missing sides.Understand that corresponding sides are in proportion.Understand that corresponding angles are equal.Apply the AA similarity criterion.
📚 Quick Recap

Similar figures have the same shape but not necessarily the same size — one is a scaled-up or scaled-down version of the other, with all angles matching and sides in the same proportion.

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

1△ABC has sides 4, 5, 6; a similar triangle has scale factor 2.5. Its sides are:
2Two similar triangles have corresponding sides 8 and 20. The scale factor is:
3Similar rectangles: 6 → 18 (factor 3); the smaller's other side is 4, so the larger's is:
4In similar figures, corresponding angles are:

🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11

5Similar figures have the same but possibly different size.
6Corresponding sides of similar figures are in .
7Triangle ABC has sides 4, 5, 6. A similar triangle has scale factor 2.5. Find its sides.
8Two similar triangles have corresponding sides 8 and 20. Find the scale factor.
9Similar rectangles have sides 6 and 18; the smaller's other side is 4. Find the larger's.

🚀 Section C · Challenge ● CHALLENGE 5

10What must be true about corresponding angles in similar figures?
💭 Reflection — the most useful thing I learned:
A ___/4   B ___/11   C ___/5   Total ___/20 Teacher's Signature Parent's Signature
✂ answer key — fold or cut before handing out

1-A   2-A   3-A   4-B  |  5 shape   6 proportion   7 = 10, 12.5, 15   8 = 2.5   9 = 12 (scale factor 3)  |  10 = They must be equal

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