Download Angle Pairs Definition Example/Notation

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

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

page
1
page
2
Document related concepts
no text concepts found
Transcript 
Angle Pairs
Adjacent
angles
Definition
Example/Notation
A
two angles that are coplanar, have a common side and a
common vertex, but no common interior points.
Linear pair
C
D
B
⦟ABC and ⦟CBD are adjacent
angles
a pair of adjacent angles whose noncommon sides form
2
⦟1 and ⦟2 are a linear pair
opposite rays.
Vertical angles
1
2 nonadjacent angles formed by 2 intersecting lines.
 Vertical angles are always CONGRUENT.
Complementary
angles
two angles with measures that have a sum of 90o
Supplementary
angles
two angles with measures that have a sum of 180
⦟1 and ⦟3 are
vertical angles
2
1
3
4
43o
47o
degrees.
degrees.
105o
75o
 The angles in a linear pair are always supplementary.
Perpendicular
Lines
Lines, segments, or rays that form right angles
The symbol for
The right angle symbol  indicates that the lines are
perpendicular
perpendicular.
l
Intersect to form four congruent adjacent angles.
m
line l and line m are
perpendicular
lines is .
Identify each pair of angles as adjacent, vertical, complementary, supplementary, and/or as a
linear pair.
1.
1 and 2 adjacent
2.
3.
3 and 4 adjacent, complementary 4.
1 and 4 vertical
1 and 5 linear pair, adjacent,
supplementary
Find the value of x.
5.
5x
x + 16
5x  x  16
x4
6.
7x  10  3x  180
x  17
7x + 10
3x
7.
3
2
1
4
5
(4x  3)  (x  8)  90
x  19
4x + 3
x - 8
Classwork:
Related documents