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4-6 Solve It!
There isn’t
a lesson for
proving triangles
congruent by SideSide-Angle. That’s
because it only
works in the right
situations.
B
One of the tent flaps was
damaged in a storm. Can you use
the other flap as a pattern to
replace it? Explain.
A
C
D
4-6 Lesson Quiz
1. Are the triangles shown below congruent? Explain.
2. Do you UNDERSTAND?
O
Given: ON > ML, LP > PN,
/OPN is a right angle.
Prove: nOPN > nMPL
L
P
N
M
hsm11gmse_0406.indd 258
2/10/09 4:06:52 AM
Answers
Solve It!
Lesson Quiz
Yes; AB > CB (Given). By the
Isosc. n Thm., /A > /C and
/BDC > /BDA (All rt. '
are >.), so nABD > nCBD
by AAS.
1. yes, by the HL Theorem
2. It is given that ON > ML,
LP > PN, and /OPN is a
right angle. /OPN > /LPM
by Vertical Angles Theorem.
m/OPN 5 m/LPM by the
def. of cong. angles.
m/OPN 5 90 by the def. of
right angles. m/LPM 5 90
by subst. /LPM is a right
angle by the def. of right
angles. nOPN and nMPL
are right triangles. So,
nOPN > nMPL by HL.
Prentice Hall Geometry • Solve It/Lesson Quiz on Transparencies
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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