Similar Triangles and Congruence

Complete each proportion.
AB / AM  =  ? / AD

• BC

• AC

• MD

• MC

Are the triangles similar?

• Yes

• No

• There is not enough information.

Are the triangles similar?

• Yes

• No

• There is not enough information.

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

• ∠A ≅ ∠D

• ∠B ≅ ∠E

• AB ≅ DE

• BC ≅ FD

What is NOT true for congruent triangles?

• Corresponding angles are congruent

• Corresponding sides are congruent

• Same shape but different size

• The sum of the angles is still 180 degrees

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

• Dilation

• Translation, Reflection, and Rotation

• Translation and Reflection

• Reflection and Rotation

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

Are these triangles similar?

• Yes

• No, they are congruent

• There is not enough information to determine this

• No, they are not similar nor congruent

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