angle pairs 3-3c what are angle pairs? what is the difference between complementary angles,...
TRANSCRIPT
Angle Pairs 3-3C
What are angle pairs?
What is the difference between complementary angles, supplementary angles and linear pairs?
Cornell Note Taking Guide
Cornell Note Taking Guide• Record notes • During lecture, record the main
ideas and concepts on the right side of the page. This is the notes column.
• Rephrase the information in your own words before writing it down.
• Skip one line between ideas and several lines between topics.
• Avoid writing in complete sentences; use symbols and abbreviations instead.
Cornell Note Taking Guide• Review and Clarify • As soon after class as
possible, review the notes in the right column and clarify any ambiguous information.
• Compare the information with the book and/or other students' notes.
• Then pull the main ideas, concepts, terms, places, dates, and people from the right column and record them in the left-hand recall column.
Cornell Note Taking Guide• Summarize • Prepare a summary of the
lecture material and record it at the end of the notes.
• The summary may be in sentences or short phrases. It should include only the main ideas from the lecture.
VocabularyHe picked out a pair of white
socks.
She bought two new pairs of flip flops.
He had a coupon for a complementary hamburger.
Ensure is a diet supplement.
Definition
Complementary angles are two angles whose measures add up to 90°
90ABDCBDABC
A
B
C
D
Definition
Supplementary angles are two angles whose measures add up to 180°
180TSURST
R S
T
U
Complementary or Supplementary?
Angles can be complementary or supplementary regardless of their location.
PR toarycomplementis
P R
41° 49°41° 139°
P S
PS toarysupplementis
Definition
Two angles, , form a linear pair if and only if A, B, and C are collinear and D is not on .
DBCABD and
AC
A B C
D
Name all the linear pairs
FKGandJKF GKHandFKG
HKJandGKH
F
G
H
K
J
JKFandHKJ
64If Xm find the measures of the angles that are complementary and supplementary to X
Complementary
90°− 64° = 26°
Supplementary
180°− 64° = 116°
What is the difference?
Supplementary because it adds to 180°
Supplementary because it adds to 180°
Linear pair because both angles are on the same line.
AND
Linear Pair Postulate
The angles in a linear pair are supplementary
Theorems
• Supplements of congruent angles (or of the same angle) are congruent.
• Complements of congruent angles (or of the same angle) are congruent.
• What are angle pairs?
Complementary angles, supplementary angles and linear pairs are angle pairs.
• What is the difference between complementary angles, supplementary angles and linear pairs?
Complementary angles add up to 90°.
Supplementary angles add up to 180°.
Linear pairs are two angles on the same line that add up to 180°.
Assignment 3-3C
Page 204, 1-13, 25-27