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Warm-Up - Artists Vito Acconci is a popular American sculptor and artist. One of his furniture creations called the Name Calling Chair uses a variety of geometric shapes, such as squares and triangles. The back of the chair is shown in the diagram. • What do you know about angles FCB and CFE? Are triangles ABC and DEF similar? • Are triangles ABC and DEF congruent?

# Congruent Triangles – Day 2

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Warm-Up - Artists• Vito Acconci is a

popular American sculptor and artist. One of his furniture creations called the Name Calling Chair uses a variety of geometric shapes, such as squares and triangles. The back of the chair is shown in the diagram.

• What do you know about angles FCB and CFE?• Are triangles ABC and DEF similar?• Are triangles ABC and DEF congruent?

Congruent Triangles – Day 2Congruence & Triangles

Congruent Figures

•Exact same shape•Exact same size

Congruent Not Congruent

Properties of Congruent Figures

•Corresponding Angles are Congruent•Corresponding Sides are congruent

PQRABC

A

B

C

P

QR

Example 1: Write a congruence statement and identify all corresponding parts.

X

Y

Z

H

K

J

Example 2: ABCD KJHL

a.Find the value of x

b. Find the value of y

A

B

C

D

K

J

H

L

91 8

6

9 cm

6 cm(4x – 3) cm

(2y – 4) o

Third Angles Theorem

•If 2 angles in a triangle are congruent to 2 angles in a 2nd triangle, then the 3rd angles are also congruent.

A

B

C

D

E

F

Example 3: Find the value of x

A

B

C

D

E

F

22o

87o

(4x+15)o

Find the value of the variables.

Find the value of the variables.

Decide whether the triangles are congruent. Justify reasoning.

E

F

G

H

J

58o

58o

Are there any congruent figures?If so, what is the congruence statement?

Are there any congruent figures?If so, what is the congruence statement?

Are there any congruent figures?If so, what is the congruence statement?

Homework – Day 2

4.1/4.2 Practice