Download 1.5 Types of angles

CCSS Geom Unit A Day 5 part 1 A.notebook
D.I.R.T.
August 25, 2014
Day 5 part 1
Unit A Basic Geometry: Day #5 Types of Angles Learning Targets: I can identify types of angles including linear pair, supplements, complements, vertical , adjacent angles to prove and apply theorems about angles.
CCSS: G­CO.12, G­CO.9 CLE: G.1.A.
Performance Standard 1.8, 3.5, 4.1 DOK 1, 2, 3
Knowledge MA 2, MA 4
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CCSS Geom Unit A Day 5 part 1 A.notebook
August 25, 2014
Know the Gab
UNIT A Vocab 2
3
1
Vertical Angles: "across from each other"
4
Vertical Angles are congruent.
D
Adjacent angles: 1) Share an entire side
2) Share a vertex
3) Do NOT overlap!
C
E
F
O
B
A
Ex 1) Are these angles adjacent? Why or why not??
B
A
<AOB and <BOC
C
O
<NPM and <QNP
M
P
N
Q
S
R
W
<RXS and <SWT
T
X
V
E
S
D
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CCSS Geom Unit A Day 5 part 1 A.notebook
August 25, 2014
Know the Gab
Vocab UNIT A 30
60
Complementary Angles: add up to 90 degrees. 2
1
Supplementary Angles: add up to 180 degrees.
Linear Pairs are SUPPLEMENTARY!
120
PROPERTIES OF CONGRUENCE
DISTRIBUTIVE: a (b+c) = ab + ac
60
Other Properties
Segment Addition: XY + YZ = YZ
Angle Addition: Vertical angles are congruent.
m<AOB + m<BOC = m<AOC
Linear pairs are supplementary.
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CCSS Geom Unit A Day 5 part 1 A.notebook
August 25, 2014
Ex 2) Identify the given angles.
Complementary angles: Supplementary angles:
Vertical angles:
3
2
1
4
Adjacent angles:
5
Linear pair: Find the m<GOA
Find the m<EOA
Find the m<GOC
T or F? <FOG and <GOB are complementary
T or F? <FOA and <EOG are adjacent
T or F? <COD and <GOB are complementary
T or F? <COG and <GOF are a linear pair
T or F ? <BOC and <FOE are supplementary
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CCSS Geom Unit A Day 5 part 1 A.notebook
August 25, 2014
Name the type of angle pair, then solve for y.
Name the type of angle pair, then solve for z.
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CCSS Geom Unit A Day 5 part 1 A.notebook
August 25, 2014
Name the type of angle pair, then solve for x.
Name the type of angle pair that you will use to set up the equation, then solve for x.
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CCSS Geom Unit A Day 5 part 1 A.notebook
August 25, 2014
Name the type of angle pair, then solve for y.
Ex 3) Name the complement and supplement of each angle and the measure of the angle vertical to the given angle.
25
108
90
56
125
WARNING: NOT IN THE BOOK
WARNING: NOT IN THE BOOK
Complement Supplement Vertical
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CCSS Geom Unit A Day 5 part 1 A.notebook
August 25, 2014
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