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Five-Minute Check (over Lesson 43) Then/Now New

Vocabulary Postulate 4.1 Side-Side-Side (SSS)

Congruence Example 1 Use SSS to Prove Triangles

Congruent Example 2 Standard Test

Example Postulate 4.2 Side-Angle-Side (SAS)

Congruence Example 3 Real-World Example Use SAS

to Prove Triangles are Congruent Example 4 Use

SAS or SSS in Proofs

5-Minute Check 1

Write a congruence statement for the triangles.

A. ?LMN ? ?RTS B. ?LMN ? ?STR C. ?LMN ? ?RST

D. ?LMN ? ?TRS

- A
- B
- C
- D

5-Minute Check 2

Name the corresponding congruent angles for the

congruent triangles.

A. ?L ? ?R, ?N ? ?T, ?M ? ?S B. ?L ? ?R, ?M ? ?S,

?N ? ?T C. ?L ? ?T, ?M ? ?R, ?N ? ?S D. ?L ? ?R,

?N ? ?S, ?M ? ?T

- A
- B
- C
- D

5-Minute Check 3

Name the corresponding congruent sides for the

congruent triangles.

- A
- B
- C
- D

5-Minute Check 4

Refer to the figure. Find x.

A. 1 B. 2 C. 3 D. 4

- A
- B
- C
- D

5-Minute Check 5

Refer to the figure. Find m? A.

A. 30 B. 39 C. 59 D. 63

- A
- B
- C
- D

5-Minute Check 6

Given that ?ABC ? ?DEF, which of the following

statements is true?

- A
- B
- C
- D

Then/Now

You proved triangles congruent using the

definition of congruence. (Lesson 43)

- Use the SSS Postulate to test for triangle

congruence.

- Use the SAS Postulate to test for triangle

congruence.

Vocabulary

- included angle

Concept 1

Example 1

Use SSS to Prove Triangles Congruent

Write a flow proof.

Prove ?QUD ? ?ADU

Example 1

Use SSS to Prove Triangles Congruent

Answer Flow Proof

Example 1 CYP

- A
- B
- C
- D

Example 2A

EXTENDED RESPONSE Triangle DVW has vertices

D(5, 1), V(1, 2), and W(7, 4). Triangle LPM

has vertices L(1, 5), P(2, 1), and M(4,

7). a. Graph both triangles on the same

coordinate plane. b. Use your graph to make a

conjecture as to whether the triangles are

congruent. Explain your reasoning. c. Write a

logical argument that uses coordinate geometry

to support the conjecture you made in part b.

Example 2B

Solve the Test Item a.

Example 2C

b. From the graph, it appears that the triangles

have the same shapes, so we conjecture that they

are congruent.

c. Use the Distance Formula to show all

corresponding sides have the same measure.

Example 2C

Example 2 ANS

Answer WD ML, DV LP, and VW PM. By

definition of congruent segments, all

corresponding segments are congruent. Therefore,

?WDV ? ?MLP by SSS.

Example 2A

Determine whether ?ABC ? ?DEF for A(5, 5), B(0,

3), C(4, 1), D(6, 3), E(1, 1), and F(5, 1).

A. yes B. no C. cannot be determined

- A
- B
- C

Concept 2

Example 3

Use SAS to Prove Triangles are Congruent

Example 3

Use SAS to Prove Triangles are Congruent

Prove ?FEG ? ?HIG

Example 3

- A
- B
- C
- D

A. Reflexive B. Symmetric C. Transitive D.

Substitution

Example 4

Use SAS or SSS in Proofs

Write a paragraph proof.

Prove ?Q ? ?S

Example 4

Use SAS or SSS in Proofs

Answer

Example 4

Choose the correct reason to complete the

following flow proof.

- A
- B
- C
- D

A. Segment Addition Postulate B. Symmetric

Property C. Midpoint Theorem D. Substitution

End of the Lesson