Transcript Triangle Congruence by ASA and AAS LESSON 4-3 Additional Examples Suppose that F is congruent to C and I is not congruent to.

Triangle Congruence by ASA and AAS
LESSON 4-3
Additional Examples
Suppose that F is congruent to C and I is not congruent to C. Name
the triangles that are congruent by the ASA Postulate.
The diagram shows N
If F
C, then F
Therefore,
FNI
A
C
CAT
D and FN
CA
GD.
G.
GDO by ASA.
Quick Check
HELP
GEOMETRY
Triangle Congruence by ASA and AAS
LESSON 4-3
Additional Examples
Write a paragraph proof.
Given: A
Prove:
B, AP
APX
It is given that A
APX
BP
BPY
B and AP
BP.
BPY by the Vertical Angles Theorem.
Because two pairs of corresponding angles and
their included sides are congruent, APX
BPY
by ASA.
Quick Check
HELP
GEOMETRY
Triangle Congruence by ASA and AAS
LESSON 4-3
Additional Examples
Write a Plan for Proof that uses AAS.
Given: B
Prove:
D, AB || CD
ABC
CDA
Because AB || CD, BAC
Interior Angles Theorem.
DCA by the Alternate
Then ABC
CDA if a pair of corresponding
sides are congruent.
By the Reflexive Property, AC
ABC
CDA by AAS.
AC so
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HELP
GEOMETRY
Triangle Congruence by ASA and AAS
LESSON 4-3
Additional Examples
Write a two-column proof that uses AAS.
Given: B D, AB || CD
Prove: ABC
CDA
Statements
Reasons
1. B
1. Given
D, AB || CD
2. BAC
3. AC
4.
DCA
CA
ABC
2. If lines are ||, then alternate interior angles are .
3. Reflexive Property of Congruence
CDA
4. AAS Theorem
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HELP
GEOMETRY