Geometry Similarity and Proportions

Find the length of side PR

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.

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.

Which relationships could be the two missing statements? Select the two that apply.

• ∠2≅∠3

• ∠𝐴≅∠𝐴

• Δ𝐴𝐵𝐸~Δ𝐴𝐶𝐷

• Δ𝐸𝐴𝐵~Δ𝐶𝐴𝐷

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?