Similar Shapes Exploration

Name:

Date:

📐 Part 1: Identifying Similar Shapes

1. Triangle A has sides 4cm, 6cm, 8cm. Triangle B has sides 6cm, 9cm, 12cm. Are they similar?

Yes, they are similar

No, they are not similar

2. What is the ratio of corresponding sides between Triangle A and Triangle B?

2:3

3:2

1:2

4:6

3. What properties do similar shapes have? Tick all that apply:

All corresponding angles are equal

Corresponding sides are in proportion

They are exactly the same size

They have the same shape

🔢 Part 2: Finding Missing Side Lengths

4. Two similar triangles have corresponding sides in the ratio 3:5. If one side of the smaller triangle is 9cm, what is the length of the corresponding side in the larger triangle?

Answer: _______ cm

5. Two similar pentagons have a scale factor of 2:7. If the smaller pentagon has a side length of 6cm, what is the corresponding side length in the larger pentagon?

Answer: _______ cm

🎯 Part 3: Challenge Problem

6. Triangle ABC has sides 5cm, 12cm, and 13cm. Triangle DEF has sides 15cm, 36cm, and one unknown side. Find the missing side length if the triangles are similar.

Missing side length: _______ cm

7. A rectangle has dimensions 9cm × 15cm. If you create a similar rectangle where the shorter side is 6cm, what must the longer side be?

Longer side: _______ cm