Unit 6 Test Study Guide (Similar Triangles)

The ratio of the measures of the angles in a triangle is 8:3:4. Find the measures of the angles.

• 64°, 24°, 32°

• 80°, 30°, 40°

• 72°, 27°, 36°

• 96°, 36°, 48°

The ratio of the measures of the sides of a triangle is 9:12:5. If the perimeter of the triangle is 130 feet, find the measures of the sides.

• 27 feet, 36 feet, 15 feet

• 30 feet, 40 feet, 60 feet

• 39 feet, 52 feet, 21 feet

• 45 feet, 60 feet, 25 feet

If ΔKLJ ~ ΔVWU, find the value of x.

• none of these

• 15

• 17

• 21

If ΔNML ~ ΔSRL, find the value of x.

• x = 5

• x = 10

• x = 15

• x = 20

If ΔDEF ~ ΔJKL, find KL. (Refer to the diagram for measurements)

• 45

• 10

• 50

• 20

If ΔPQR ~ ΔTSR, find SR. (Refer to the diagram for measurements)

If ΔNKF ~ ΔLZF, find NF. (Refer to the diagram for measurements)

• -6

• 25

• 48

• none of these

If ΔCDE ~ ΔWXY with a scale factor of 4:3, find the perimeter of ΔWXY. (Refer to the diagram for measurements)

• 48

• 16

• 64

• 24

Determine if the triangles are similar. If yes, state how (by AA~, SSS~, or SAS~) and complete the similarity statement. Similar By: ____________ ΔPKM ~ ____________ (Refer to the diagram for measurements)

• The triangles are similar by SAS~.

• The triangles are not similar.

• The triangles are similar by AA~.

• The triangles are similar by ASA~.

Determine if the triangles are similar. If yes, state how (by AA~, SSS~, or SAS~) and complete the similarity statement. Similar By: ____________ ΔCAB ~ ____________ (Refer to the diagram for measurements)

• The triangles are similar by SAS

• The triangles are not similar.

• The triangles are similar by AA~.

• The triangles are similar by SSA~.