Geometry Triangle Review

For ∆ABC and ∆DEF, the following is given:  AB≅DE, BC≅EF, and AC≅DF. By which triangle congruence statement can it be concluded that the triangles are congruent?

• SSS

• SAS

• ASA

• It cannot be determined

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.

Using the Pythagorean Theorem, what is the length of the hypotenuse of a right triangle if one leg is 5 cm and the other leg is 12 cm?

• 13 cm

• 17 cm

• 10 cm

• 15 cm

∆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 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.