Congruence and Transformations

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

• SSS

• SAS

• ASA

• AAS

• Not enough information to show triangles congruent.

• SSS

• SAS

• ASA

• AAS

• Not enough information to show triangles congruent.

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

• ∠A ≅ ∠D

• ∠B ≅ ∠E

• AB ≅ DE

• AB ≅ EF

Which is a correct congruence statement.

• A

• B

• C

• D

Are these triangles congruent, similar, both, or neither?

• Similar

• Congruent

• Both

• Neither

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

• x = 12

• x = 3

• x = 40

• x = 4

As it relates to geometry, what does it mean for figures to be similar?

• corresponding sides are proportional and corresponding angles are congruent

• corresponding sides and angles are congruent

• angles are similar, and side lengths are the same, producing a figure that looks very close to another one.

• neither sides or angles are congruent

Which transformation(s) create(s) congruent figures?

• Dilation

• Translation, Reflection, Rotation

• Dilation and Translation

• Dilation and Reflection

Are these triangles similar?

• Yes

• No, they are congruent

• There is not enough information to determine this

• No, they are not similar nor congruent

Are Triangle ABC and Triangle XYZ similar?

• No, corresponding angles are not congruent

• No, corresponding sides are not proportional

• Yes, corresponding angles are congruent

• Yes, corresponding sides are proportional