
Suppose
= 32°
= 5x ,
= 12x-6°
Find x, then find the measure of each angle.
1.
2.
3.
4.
Do Now
Questions (limit to 5)
Notes
Practice
We will be able to… define and apply the geometry
tools perpendicular and angle bisectors
3 Ways to Name an Angle:
1. The inscribed number

2. The vertex
3. A point on one side, the
vertex, and a point on the
other side.
 Perpendicular
Lines are two lines
that intersect to form right angles.
 The symbol:
Means “is perpendicular to”
Example:

A Perpendicular Bisector of a segment
can be a line, segment, or ray that is
perpendicular to the segment at its
midpoint… which means?
The perpendicular
bisector cuts the
segment in half – or
into two congruent
segments.
AB = 12 cm. CD is the perpendicular bisector of AB.
Find the length of AO and OB.
 CD
is the perpendicular bisector of
AB. Find the length of AO and OB.
AO = 4x – 20
0B = 2x + 30
 CD
is the perpendicular bisector of
AB. Find the length of AO and OB.
AO = 4x + 50
AB = 12x + 20
An Angle Bisector is a ray that divides an
angle into two congruent coplanar
angles.
 The ray’s endpoint is at the angle vertex.


Angles that have the same degree measure.
JKN
100
 CD
is the perpendicular bisector of
AB. Find the length of AO and OB.
AO = 2x-6
AB = 6x+18
DO Now
Identify Complements and Supplements
Determine whether the angles are complementary,
supplementary, or neither.
1.
2.
3.
Tell whether the numbered angles are
adjacent or nonadjacent.
c.

5
6
Although5
and 6
share a
common vertex, they do not share a
common
5 side. Therefore,
and
are nonadjacent.
6
What is the value of x if both of these angles are complementary?
*Hint Complementary angles add up to 90
1.
3x+5
5x-15