Geometry Similarity Proportions

Find the length of side PQ

The perimeter of yard is 90 feet. The ratio of the length and the width of the yard is 6:3. Find the length of the yard.

Find the length of side PR

A tree is 58 feet tall and it casts a 29 foot shadow. Near by is a 6 foot tall man. How long is the shadow he casts on the ground?

(Remember your units!)

Which is the correct way to write a congruency statement about the two figures shown?

• FED ~ TSR

• FED ~ RST

• FED ~ STR

• FED ~ RTS

• They are all correct.

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because corresponding angles are congruent and corresponding sides are in proportion.

• No, not similar because corresponding angles are congruent, but corresponding sides are NOT in proportion.

• Yes, same shape

• No, different sizes

What is the scale factor from triangle ABC to triangle DEF?

• 1/2

• 7/3

• 2

• 10/3

The following triangles are similar.
AC ∼

•  DF

• AB 

•  ED

•  FC

Rectangle ABCD and rectangle DEFG are similar figures. Which of the following proportions is true for the figures?

Triangle ABC and triangle WXY are similar figures. Which of the following proportions is true for the figures?