SAS~, SSS~, AA~ Triangles

State the postulate or theorem that can be used to prove that the two triangles are similar.

• SAS~

• SSS~

• AA~

• ASA~

State the postulate or theorem that can be used to prove that the two triangles are similar.

• SAS~

• SSS~

• AA~

• ASA~

State the postulate or theorem that can be used to prove that the two triangles are similar.

• SAS~

• SSS~

• AA~

• ASA~

You are given the ratios of the lengths of the sides of triangle ABC and triangle DEF. Choose the cases where triangle ABC is similar to triangle DEF. For the ratios given as ABC 2:2:5.

• a. DEF 4:4:25

• b. DEF 5:5:10

• c. DEF 6:6:15

You are given the ratios of the lengths of the sides of triangle ABC and triangle DEF. Choose the cases where triangle ABC is similar to triangle DEF. For the ratios given as ABC 3:6:9.

• a. DEF 5:10:15

• b. DEF 5:25:125

• c. DEF 2:5:6

Draw triangle ABC and triangle XYZ roughly to scale. Then name the postulate or theorem that can be used to prove that the triangles are similar. For the given measurements: AB = 6, BC = 12, angle ABC = 60 degrees, XY = 3, YZ = 6, angle XYZ = 60 degrees.

• SAS~

• SSS~

• AA~

• ASA~

Draw triangle ABC and triangle XYZ roughly to scale. Then name the postulate or theorem that can be used to prove that the triangles are similar. For the given measurements: AB = 2, BC = 2, angle ABC = 40 degrees, XY = 6, YZ = 6, angle XYZ = 70 degrees.

• SAS~

• SSS~

• AA~

• ASA~

Draw triangle ABC and triangle XYZ roughly to scale. Then name the postulate or theorem that can be used to prove that the triangles are similar. For the given measurements: angle A = 15 degrees, angle B = 80 degrees, angle Y = 80 degrees, angle Z = 85 degrees.

• SAS~

• SSS~

• AA~

• ASA~

Draw triangle ABC and triangle XYZ roughly to scale. Then name the postulate or theorem that can be used to prove that the triangles are similar. For the given measurements: AB = 4, BC = 3, AC = 6, XY = 8, YZ = 6, XZ = 12.

• SAS~

• SSS~

• AA~

• ASA~

Use the diagram to the right. To determine the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the tree, as shown. How tall is the tree?

• 8 ft

• 36 ft

• 64 ft

• 72 ft