4.7 ­ Congruence in Overlapping Triangles.notebook
4.7: Congruence in Overlapping Triangles
January 11, 2016
Date:1/11
Ex 1) Sketch the overlapping triangles separately. What is the common
side in WXZ and WWY?
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4.7 ­ Congruence in Overlapping Triangles.notebook
January 11, 2016
Ex 2) Sketch the overlapping triangles separately. Mark all congruent
angles and sides. Then tell what theorem or postulate you can use to
show that:
a)
ABC = BAD
b)
JGH = KHG
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4.7 ­ Congruence in Overlapping Triangles.notebook
January 11, 2016
Ex 3) In the diagram, <FGH = <JHG and <FHG = <JGH. Write a proof
that shows FG = JH.
Statements
Reasons
3
4.7 ­ Congruence in Overlapping Triangles.notebook
January 11, 2016
Ex 4) In the diagram, KJ = KL and <J = <L. Write a proof to show that
NJ = ML.
Statements
Reasons
4
4.7 ­ Congruence in Overlapping Triangles.notebook
January 11, 2016
Ex 5) In the diagram, <SPR = <QRP and <Q = <S. Write a proof to show
that PQR = RSP.
Statements
Reasons
5
4.7 ­ Congruence in Overlapping Triangles.notebook
Ex 6)
January 11, 2016
Given: AE = BE, <C = <D
Prove: ABD = BAC
Statements
Reasons
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4.7 ­ Congruence in Overlapping Triangles.notebook
January 11, 2016
Homework:
pg. 284 #1 – 5, 8 – 17, 20, 21
(proofs: #14, 15, 16, 17, 20, 21)
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