Similarity and Right Triangles Review

∆ABD~∆ECD. What is the length of CD?

• 90 units

• 7.5 units

• 22.5 units

• There is not enough information to determine the length of CD.

∆ABC is a right triangle. Find the length of x, the altitude of ∆ABC.

• 54 units

• 6√3 units

• 3√6 units

• There is not enough information to determine the length of x.

∆ABC is a right triangle. Find the length of AD.

• 12 units

• 2.5 units

• 7 units

• There is not enough information to determine the length of AD.

Which statement would justify ∆ABC~∆DEF?

• Angle-Angle (AA) Similarity

• Side-Angle-Side (SAS) Similarity

• Side-Side-Side (SSS) Similarity

• It is not possible to determine if ∆ABC~∆DEF.

Which statement would justify ∆ABC~∆DEF?

• Angle-Angle (AA) Similarity

• Side-Angle-Side (SAS) Similarity

• Side-Side-Side (SSS) Similarity

• It is not possible to determine if ∆ABC~∆DEF.

Which statement would justify ∆ABC~∆DEF? 

• Angle-Angle (AA) Similarity

• Side-Angle-Side (SAS) Similarity

• Side-Side-Side (SSS) Similarity

• It is not possible to determine if ∆ABC~∆DEF.

What is the length of BD?

• 53.3 units

• 30 units

• 67.5 units

• There is not enough information to determine the length of BD.

What is the length of BD?

• 5 units

• 10 units

• 20 units

• There is not enough information to determine the length of BD.

Which statement is NOT true about similar triangles?

• The angles of similar triangles are always congruent.

• The sides of similar triangles are proportional.

• One congruent angle measure indicates similarity.

• Similar triangles can have shared parts.

The pair of figures is similar. Find the missing side.

• x = 1

• x = 3

• x = 9

• x = 5