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~

Tags

CCSS.HSG.SRT.B.5

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

• SAS~

• SSS~

• AA~

• ASA~

Tags

CCSS.HSG.SRT.B.5

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

• SAS~

• SSS~

• AA~

• ASA~

Tags

CCSS.HSG.SRT.B.5

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

Tags

CCSS.HSG.SRT.A.2

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

Tags

CCSS.HSG.SRT.A.2

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~

Tags

CCSS.HSG.SRT.B.5

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~

Tags

CCSS.HSG.SRT.B.5

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~

Tags

CCSS.HSG.SRT.B.5

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~

Tags

CCSS.HSG.SRT.B.5

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

Tags

CCSS.HSG.SRT.B.5