Perimeter and Area Triangle Similarity

Identify the perimeter and area ratios for the following figures.

• Per. Ratio=8  Area Ratio=64

• Per. Ratio=8/48  Area Ratio=64/2304

• Per. Ratio=8/48  Area Ratio=8/48

• Per. Ratio=8/48  Area Ratio=2304/64

Are the triangles similar? If so, what similarity shortcut is used? Show all work.

• Similar.  SSS

• Similar.  SAS

• Similar.  AA

• Not Similar.

If the ratio of the corresponding sides of two similar triangles is 3:5, and the perimeter of the smaller triangle is 24 cm, what is the perimeter of the larger triangle?

• 18 cm

• 40 cm

• 30 cm

• 12 cm

What is the ratio of the perimeters of two similar triangles?

• Difference of corresponding sides

• Sum of corresponding sides

• Product of corresponding sides

• Ratio of corresponding sides

Complete the similarity statement below.

ΔUVW~Δ​ (a)  

• UQR

• QUR

• URQ

• QRU

• RUQ

• RQU

If the ratio of the corresponding altitudes of two similar triangles is 2:3, and the area of the smaller triangle is 36 square units, what is the area of the larger triangle?

• 81

• 24

• 60

• 45

How do you determine if two triangles are similar using the side-angle-side (SAS) similarity theorem?

• Check if the corresponding sides are in the same ratio and the included angles are equal.

• Check if the corresponding sides are in different ratios and the included angles are equal.

• Check if the corresponding sides are in the same ratio and the included angles are different.

• Check if the corresponding sides are in the same ratio and the included angles are not equal.

If the ratio of the areas of two similar triangles is 4:9, and the area of the smaller triangle is 36 square units, what is the area of the larger triangle?

• 72

• 45

• 81

• 24

The ratio of similarity of the figures below is 5/3. What is the ratio of the perimeters?

• 3/5

• 5/3

• 25/9

• 9/25

The ratio of similarity of the figures shown is 5/3. What is the ratio of the areas?

• 5/3

• 3/5

• 25/9

• 9/25