Exploring Angle Pairs -...
Transcript of Exploring Angle Pairs -...
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Exploring Angle Pairs Goal: To learn how to describe different angle pairs, identify geometric relationships, and use these angle pairs to find angle measures.
Use the diagram to determine if the statement is true or false. Explain. Ex 1a)
BED and LCFD are
adjacentangles
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Ex 1b) Ex 1c) Ex 1d) Ex 1e) Ex 1f)
LA FB and LEED are verticalangles
LAFE and L Btc are
complementary
LAFE and L CFD arevertical angles
LBFC and LDFE are
supplementary
BED and LAFB are
adjacent angles
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Ex 2a) What can you conclude from the information in the diagram? Ex 2b) What can you conclude from the information in the diagram? Circle all that apply.
A. B. C. D.
TWINPT IntoTWQ is a rightangle
TV bisects FQ
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Def: A linear pair is a pair of adjacent angles whose non-common sides are opposite rays.
Ex 3a) Ex 3b)
LK PL and L JPL are a linear pairMLK PL 2 24 and mL JPL 4 36What are the measures of Lk PL and L JPL
ADB and LB DC are a linearpairM LAD13 3 14 and MLB DC 5 2
What are MLADB and MLB Dc
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Def: An angle bisector is a ray that divides an angle into two congruent angles. Ex 4a) Ex 4b)
AP bisects LDAB If mLDAC 58
what is MLDAB
KTF bisects LJKL If mLJKL 72
what is mLJKM
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Ex 5a) If the m ABC = 41, then what is m CBD? Ex 5b) If m 1 = 2x + 11 and m 2 = 6x - 1, and they are complementary angles, then what is the value of x?
Ex 6) What are m CML and m JMK?
L L
A I
VBL L
L L
E 52 40
kL i t
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Lesson Check:
Homework: Lesson 1-5 HW Worksheet
(18 problems total)
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