Congruent Triangles or Similar Angles

Which congruence statement correctly describes the relationship between the following triangles?

• ∆ABC ≅ ∆XYZ

• ∆ABC ≅ ∆XZY

• ∆ABC ≅ ∆ZYX

• ∆ABC ≅ ∆YXZ

• ∆ABC ≅ ∆YZX

Which postulate can be used to prove ∆ABC ≅ ∆EDC?

•  AAA

• SSS

• SAS

• ASA

• SSA

What is the measure of \overline{AC}?

•  7

• 8 

• 9

• 10

•  11

Hector knows two angles in triangle A are congruent to two angles in triangle B, what else does Hector need to know to prove that triangles A and B are similar?

• Hector does not need to know anything else about triangles A or B

• Hector needs to know the length of any corresponding side in both triangles

• Hector needs to know all three angles in triangle A are congruent to the corresponding angles in triangle B

• Hector needs to know the length of the side between the corresponding angles on each triangle.

The triangles are congruent. Which of the following statements must be true?

• ∠A ≅ ∠D

• ∠B ≅ ∠E

• ∠A ≅ ∠F

• ∠A ≅ ∠E

△ABC is congruent to △PQR as shown in the image. Two angles that are congruent and have the same size are ...

• ∠A = ∠Q

• ∠A = ∠R

• ∠C = ∠P

• ∠B = ∠Q

x = 

• 90°

• 65°

• 25°

∠E ≅ ∠ __

• A

• B

• C

• D

Are the triangles similar?

• Yes

• No

Which statement about the triangles at the right is true?

• ΔABC is not similar to ΔADF

• ΔABC is similar to ΔADF

• ∠BAC is not congruent to ∠DAF

• ΔABC is congruent to ΔADF