Missing Values in Triangle Similarity Quiz

Solve for the missing side length in the following similar triangles: Triangle ABC has side lengths of 6 cm, 8 cm, and 10 cm, and Triangle DEF has side lengths of 9 cm, 12 cm, and x cm. What is the value of x?

• 25

• 15

• 20

• 7

Find the missing side length in the similar triangles: Triangle PQR has side lengths of 5 cm, 7 cm, and 9 cm, and Triangle STU has side lengths of 10 cm, 14 cm, and y cm. What is the value of y?

• y = 25 cm

• y = 20 cm

• y = 12 cm

• y = 18 cm

Identify the corresponding angles in the similar triangles: Triangle XYZ is similar to Triangle UVW. If angle X measures 50 degrees, what is the measure of angle U?

• 90 degrees

• 60 degrees

• 30 degrees

• 40 degrees

In similar triangles, if angle A measures 40 degrees and angle B measures 60 degrees, what is the measure of angle C?

• 100 degrees

• 120 degrees

• 80 degrees

• 50 degrees

Apply the properties of similar triangles to find the missing value: In Triangle LMN, the length of side LK is 8 cm, and the length of side MN is 12 cm. If Triangle LMN is similar to Triangle PQR, what is the length of side PQ?

• The length of side PQ is 10 cm.

• The length of side PQ is 18 cm.

• The length of side PQ is 15 cm.

• The length of side PQ is 20 cm.

Triangle ABC is similar to Triangle DEF. If AB = 6 cm, BC = 8 cm, and EF = 12 cm, what is the length of side DE?

• 16 cm

• 10 cm

• 14 cm

• 20 cm

If the ratio of the corresponding sides in similar triangles is 2:3, and one side of the larger triangle measures 15 cm, what is the length of the corresponding side in the smaller triangle?

• 5 cm

• 20 cm

• 8 cm

• 10 cm

Determine if the following triangles are similar: Triangle XYZ has side lengths of 4 cm, 6 cm, and 8 cm, and Triangle UVW has side lengths of 6 cm, 9 cm, and 12 cm. Are the triangles similar?

• Not sure

• Maybe

• Yes

• No

Are Triangle PQR with side lengths 3 cm, 4 cm, and 5 cm, and Triangle STU with side lengths 6 cm, 8 cm, and 10 cm similar triangles?

• Maybe

• No

• Yes

• Not sure