Download 4-4 Solve It! 4

4-4 Solve It!
Is kABC congruent to kGHI? How do you know?
Now you know four
ways to prove
triangles congruent.
When you know
triangles are
congruent, you know
a lot about them.
4-4 Lesson Quiz
1. Given: WX > ZY, WY > ZX
W
X
Prove: /W > /Z
Y
Z
2. Do you UNDERSTAND?
Given: /ONL > /MLN, /O and
L
M
O
N
/M are right angles.
Prove: LM > NO
hsm11gmse_0404.indd 244
2/10/09 4:02:59 AM
Answers
Solve It!
Lesson Quiz
Answers may vary. Sample:
m/E 5 80 and m/G 5 62
by the Triangle Angle-Sum
Theorem. So nABC > nDEF
by SAS and nDEF > nGHI by
AAS or ASA. Since both nABC
and nGHI are > to nDEF ,
they are > to each other by
the Transitive Prop. of >.
1. It is given that WX > ZY
and WY > ZX. XY > XY
by the Reflexive Property
of Congruence. So,
nWXY > nZYX by the
SSS Postulate. So, /W > /Z
because they are
corresponding parts of
congruent triangles.
2. It is given that
/ONL > /MLN and /O
and /M are right angles.
So, /O > /M because all
right angles are congruent.
So, nONL > nMLN by AAS.
LM > NO because they are
corresponding parts of
congruent triangles.
Prentice Hall Geometry • Solve It/Lesson Quiz on Transparencies
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
26