Download Special Pairs of Angles

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

page
1
page
2
page
3
page
4
page
5
page
6
page
7
page
8
page
9
page
10
page
11
page
12
page
13
page
14
page
15
page
16
page
17
page
18
page
19
page
20
page
21
page
22
page
23
page
24
page
25
page
26
page
27
page
28
page
29
page
30
page
31
page
32
page
33
page
34
page
35
page
36
page
37
page
38
page
39
page
40
page
41
page
42
page
43
page
44
Document related concepts
no text concepts found
Transcript 
SPECIAL
PAIRS OF
ANGLES
Congruent Angles:
Two angles that
have equal
measures.
Congruent
A
Angles
m A  m B,
so A  B B
32
32
Angle Bisector: a
ray that divides an
angle into 2
congruent angles.
Angle Bisector
1
1 2
B
C
2
Suppose BC bisects
ABD
and
m ABD  70
Find:
m CBD
35
A
C
B
D
Suppose BC bisects
ABD
and
m CBD  25
Find:
m ABC
25
A
C
B
D
Adjacent Angles: two
coplanar angles that
share a common vertex
and side, but have no
interior points in
common.
Adjacent
Angles
1
2
Nonadjacent
Angles
1
2
1
2
Linear Pair: A pair of
adjacent angles
whose non-common
sides are opposite
rays.
Linear Pair
1
2
How many Linear
pairs can you name?
1 2
2 3
3 4
4 1
1
4
3
2
Vertical Angles:
Two non-adjacent
angles formed
when 2 lines
intersect
Vertical
Angles
1
2
Also Vertical
Angles
1
2
The Angle Addition
Postulate: If C is a point
in the interior of ABD
then:
m ABC  m CBD  m ABD
m______
ABC  m
CBD  _______
m ABD
________
For
adjacent
angles
A
C
B
D
m______
DAB  ________
m BAC  _______
m DAC
D
B
A
C
m______
CBD  ________
m DBA  _______
m CBA
C
D
B
A
Supplementary
Angles: Two
angles whose
measures total 180
Supplementary
Angles
58
122
A
B
m A  m B  180
Suppose two angles are
supplementary. If one
angle is 30 degrees,
what is the measure of
its supplement?
150
Suppose two angles are
congruent and
supplementary. What
are their measures?
90
Suppose two angles are
supplementary. If one
angle is x degrees, what
is the measure of its
supplement?
180  x
Complementary
Angles: Two
angles whose
measures total 90
Complementary
32
Angles
A
m A  m B  90
58
B
Suppose two angles are
complementary. If one
angle is 30 degrees,
what is the measure of
its complement?
60
Suppose two angles are
congruent and
complementary. What
are their measures?
45
Suppose two angles are
complementary. If one
angle is x degrees, what
is the measure of its
complement?
90  x
Perpendicular
Lines: Two lines
that intersect to
form right angles.
Perpendicular lines form
4 right angles:
m
l
Perpendicular
m
Lines:
l m
l
Perpendicular lines form
4 right angles:
m
l
But you only need 1 right
angle to know they are
Perpendicular Lines:
m
l
Let’s see
what you
recall…
Linear Pair
1
2
Adjacent
Angles
1
2
Vertical
Angles
1
2
Angle Bisector
1
1 2
B
C
2
m______
CBA  m
ABD  m
CBD
________
_______
C
A
B
D
Congruent
A
Angles
A B
32
32
B
Supplementary
Angles
58
122
A
B
m A  m B  180
Now Go
Practice!
The End
Related documents