Transformation, Congruence and Similarity

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

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

• ∠A ≅ ∠D

• ∠B ≅ ∠E

• AB ≅ DE

• AB ≅ EF

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

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 these triangles congruent, similar, both, or neither?

• Similar

• Congruent

• Both

• Neither

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

• Dilation

• Translation, Reflection, Rotation

• Dilation and Translation

• Dilation and Reflection

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

• Dilation

• Translation, Reflection, and Rotation

• Translation and Reflection

• Reflection and Rotation

Which is a correct congruence statement.

• A

• B

• C

• D

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

• ∠A ≅ ∠D

• ∠B ≅ ∠E

• AB ≅ DE

• BC ≅ FD

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12