Unit 4 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.

• 96°, 36°, 48°

• 80°, 30°, 50°

• 64°, 24°, 32°

• 72°, 27°, 36°

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.

• 45 ft, 60 ft, 25 ft

• 40 ft, 55 ft, 35 ft

• 50 ft, 65 ft, 15 ft

• 30 ft, 50 ft, 50 ft

Find the scale factor of Figure A to Figure B.

Find the scale factor of Figure B to Figure A.

If ΔKLJ ~ ΔVWU, find the value of x.

• 17

• 18

• 19

• 20

If ΔNML ~ ΔSRL, find the value of x.

If ΔPQR ~ ΔTSR, find SR. Solve for x and find SR.

• SR = 10

• SR = 29

• SR = 57

• SR = 25

If ΔCDE ~ ΔWXY with a scale factor of 4:3, find the perimeter of ΔWXY. *Solve for x to find the perimeter.

10. Determine if the triangles are similar, if possible, by AA~, SSS~, or SAS~. If similar, complete the similarity statement.

• ΔPKM ~ ΔLQM by AA~

• ΔPKM ~ ΔLQM by SSS~

• ΔPKM ~ ΔLQM by SAS~

• ΔPKM is not similar to ΔLQM