Congruence and Similarity

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

• Similar

• Congruent

• Both

• Neither

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

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

• x = 12
• x = 3
• x = 40
• x = 4

Tags

CCSS.HSG.SRT.A.2

What does congruent mean?

• corresponding sides and angles are congruent

• corresponding sides are proportional and corresponding angles are congruent

• sames shape

• neither sides or angles are congruent

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

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

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

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

• ∠A ≅ ∠D

• ∠B ≅ ∠E

• AB ≅ DE

• AB ≅ EF

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

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

• Dilation
• Translation, Reflection, Rotation
• Dilation and Translation
• Dilation and Reflection

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.B.6

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

• Dilation
• Translation, Reflection, and Rotation
• Translation and Reflection
• Reflection and Rotation

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

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

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Which is a correct congruence statement.

• A
• B
• C
• D

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Are these triangles similar?

• Yes

• No, they are congruent

• There is not enough information to determine this

• No, they are not similar nor congruent

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5