Ratios in Similar Shapes

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

What is the ratio of the side lengths?

• 1.25

• 1.5

• 2

• 2.5

How long is side x?

• 3

• 1.5

• 8

• 2/3

Find side length X.

• 22.5

• 10

• 9

• 7.5

Find side length X.

• 30

• 25

• 15

• 40

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

• 45°:117°:18°

• 45°:18°:117°

• 35°:115°:20°

• 35°:120°:22°

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

What is the scale factor from ABCD to MNOP?

• 2/3

• 3/2

• 2

• 3

Are the following similar? Why or why not?

• Yes. The ratios of the corresponding sides are equal.

• No. The ratios of the corresponding sides are not equal.