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Splash Screen

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Splash Screen Lesson Menu Five-Minute Check (over Lesson 4 3) Then/Now New Vocabulary Postulate 4.1: Side-Side-Side (SSS) Congruence Example 1: Use SSS to Prove ... – PowerPoint PPT presentation

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Title: Splash Screen


1
Splash Screen
2
Lesson Menu
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
3
5-Minute Check 1
Write a congruence statement for the triangles.
A. ?LMN ? ?RTS B. ?LMN ? ?STR C. ?LMN ? ?RST
D. ?LMN ? ?TRS
  1. A
  2. B
  3. C
  4. D

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

5
5-Minute Check 3
Name the corresponding congruent sides for the
congruent triangles.
  1. A
  2. B
  3. C
  4. D

6
5-Minute Check 4
Refer to the figure. Find x.
A. 1 B. 2 C. 3 D. 4
  1. A
  2. B
  3. C
  4. D

7
5-Minute Check 5
Refer to the figure. Find m? A.
A. 30 B. 39 C. 59 D. 63
  1. A
  2. B
  3. C
  4. D

8
5-Minute Check 6
Given that ?ABC ? ?DEF, which of the following
statements is true?
  1. A
  2. B
  3. C
  4. D

9
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.

10
Vocabulary
  • included angle

11
Concept 1
12
Example 1
Use SSS to Prove Triangles Congruent
Write a flow proof.
Prove ?QUD ? ?ADU
13
Example 1
Use SSS to Prove Triangles Congruent
Answer Flow Proof
14
Example 1 CYP
  1. A
  2. B
  3. C
  4. D

15
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.
16
Example 2B
Solve the Test Item a.
17
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.
18
Example 2C
19
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.
20
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
  1. A
  2. B
  3. C

21
Concept 2
22
Example 3
Use SAS to Prove Triangles are Congruent
23
Example 3
Use SAS to Prove Triangles are Congruent
Prove ?FEG ? ?HIG
24
Example 3
  1. A
  2. B
  3. C
  4. D

A. Reflexive B. Symmetric C. Transitive D.
Substitution
25
Example 4
Use SAS or SSS in Proofs
Write a paragraph proof.
Prove ?Q ? ?S
26
Example 4
Use SAS or SSS in Proofs
Answer
27
Example 4
Choose the correct reason to complete the
following flow proof.
  1. A
  2. B
  3. C
  4. D

A. Segment Addition Postulate B. Symmetric
Property C. Midpoint Theorem D. Substitution
28
End of the Lesson
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