Quiz 6-1: Similar Figures; Proving Triangles Similar

The ratio of the measures of the three angles in a triangle is 14:5:11. Find the measure of the largest angle. Show all work.

• The measure of the angle is 84°

• The measure of the angle is 70°

• The measure of the angle is 90°

• The measure of the angle is 60°

The ratio of the measures of the three angles in a triangle is 14:5:11. Find the measures of the angle that is not least nor greatest. Show all work.

• The measure of the angle is 66°

• The measure of the angle is 70°

• The measure of the angle is 45°

• The measure of the angle is 60°

The ratio of the measures of the three angles in a triangle is 14:5:11. Find the measures of the smallest angle.

• The measure of the angle is 30°

• The measure of the angle is 40°

• The measure of the angle is 45°

• The measure of the angle is 60°

The ratio of the measures of the sides of a triangle is 9:7:3. If the perimeter of the triangle is 266 inches, find the length of the shortest side.

• The length of the shortest side is 38 inches.

• The length of the shortest side is 42 inches.

• The length of the shortest side is 57 inches.

• The length of the shortest side is 76 inches.

If the figures below are similar, find the scale factor of Figure B to Figure A.

• The scale factor of Figure B to Figure A is 1/3.

• The scale factor of Figure B to Figure A is 3.

• The scale factor of Figure B to Figure A is 1/2.

• The scale factor of Figure B to Figure A is 2/3.

If ΔPQR ~ ΔUTV, find the value of x.

• x = 11

• x = 8

• x = 15

• x = 6

If ΔGFE ~ ΔCBE, find the value of x.

• x = 7

• x = 5

• x = 9

• x = 3

If ΔSDE ~ ΔSWT, find the value of x.

• x = 12

• x = 2.4

• x = -2.4

• x = 9

Determine if the triangles are similar.

• YES

• NO

Determine if the triangles are similar.

• YES

• NO