Transcript Geometry Notes

Geometry Notes
Section 1-5
<3 KJMP.
What you’ll learn. . .

How to identify and use special pairs of
angles
 Adjacent
angles
 Vertical angles
 Linear pairs of angles
 Complementary angles
 Supplementary angles

How to identify perpendicular lines
Vocabulary
Adjacent angles
 Vertical angles
 Linear pair of angles
 Complementary angles
 Supplementary angles
 Perpendicular lines

Adjacent Angles

Examples: ABC and CBD
C
C
A
D
D
A
B
B

Non examples:
CAT and CAS
C
S
ABC and  BCD
D
T
C
No Common Vertex
A Shared Interior
A
B
Adjacent Angles

Adjacent Angles- 2 angles that
 lie
in the same plane
 have a common vertex
 have a common side,
 But have no common interior points (the
angles do not overlap).
Vertical Angles

Examples:
5
1
4

8
2
7
3
NonExamples:
B
A
D
6
E
C
Vertical Angle

Vertical Angles- 2 nonadjacent angles
formed by two intersecting lines.
Linear Pair of Angles
Line

Example: BED and BEC.
B
C
E
D

T
NonExample
R
C
A
A Linear Pair of Angles

A linear pair of angles
 adjacent
angles
 non-common sides are opposite rays.
Complementary Angles
&
Supplementary Angles

Complementary: Any pair of angles
whose measures add up to 90

Supplementary: Any pair of angles whose
measures add up to 180
Example problems:
The measure of an angle’s supplement is
3 times the measure of the angle. Find
the angle and its supplement.
 Two angles are complementary. One
angle is 12 more than the other. Find the
angle.
 Find mT if mT is 20 more than 4 times
its supplement.

Perpendicular Lines

DEFN: Perpendicular lines are lines that
intersect to form right angles.

Everything you wanted to know about
perpendicular lines and more:
 symbol for perpendicular: 
diagram symbol:
  lines form not just one but, 4 right angles
  lines form  (congruent) adjacent angles
rays and segments can be  too
Have you learned. . .

How to identify and use special pairs of
angles
 Adjacent
angles?
 Vertical angles ?
 Linear pairs of angles?
 Complementary angles?
 Supplementary angles?
How to identify perpendicular lines?
 Assignment: Worksheet 1.5
