angle pairs 3-3c what are angle pairs? what is the difference between complementary angles,...

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