Corresponding and Similar Figures

All angles in similar figures are congruent.  

• True

• False

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

A blueprint was using a scale of 3cm=4.5m. Find the actual length if it is 5cm on the drawing.

• 7.5

• 13.5

• 1.5

• 1.7

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

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

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

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

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

The two parallelograms above are similar.
What is the length in inches of line segment PQ?

• 40 in.

• 34 in.

• 38 in.

• 14 in.

Which proportion correctly shows the corresponding sides of the two similar figures?

• TQ AND BE
• TS AND CD
• RS AND BC
• QR AND CD

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft