Ratios and Proportions, Proportions in Triangles, and Similar Polygons in Geometry

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

• 80⁰, 90⁰, and 30⁰

• 84⁰, 30⁰, and 66⁰

• 78⁰, 31⁰, and 71⁰

• 58⁰, 45⁰, and 77⁰

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.

• 126 inches

• 126

• 42 inches

• 42

Find the scale factor from triangle B to triangle A.

• 1/3

• 3/1

• 1/2

• 9/27

If PQR ~ UTV, find the value of x.

• x = 12

• x = 15

• x = 10

• x = 20

If GFE ~ CBE, find the value of x.

• x = 10

• x = 15

• x = 6

• x = 9

If SDE ~ SWT, find the value of x.

• x = 4

• x = 15

• x = 12

• x = 10

Are these triangles similar?

• yes, SAS

• yes, AA

• yes, SSS

• no

Are these these triangles similar?

• yes, SAS

• yes, AA

• yes, SSS

• no

Are these triangles similar?

• yes, SAS

• yes, AA

• yes, SSS

• no

Are these triangles similar?

• yes, SAS

• yes, AA

• yes, SSS

• no