Tools of Geometry
Name
I can …
Key Concepts
Adjacent angles
 Definition

What do they look
like?
Vertical angles
 Definition

What do they look
like?
Linear Pair
 Definition

What do they look
like?
Complementary angles
 Definition

What do they look
like?
Supplementary angles
 Definition

What do they look
like?
Angle Relationships
Date
Essential Question(s):
Notes
Identifying Angle Pairs
ExamplesFigure 1
a) Name two adjacent
angles.
Figure 1
b) Name two vertical
angles.
c) Name two angles that
form a linear pair.
Figure 2
a) Name two adjacent
angles.
b) Name two vertical
angles.
c) Name two angles that
form a linear pair.
Angle Measure Examples
a) Find the measures of
two complementary
angles if the difference
in the measures of the
two angles is 12.
Figure 2
b) Find the measures of
two supplementary
angles if the measure
of one angle is 6 less
than five times the
measure of the other
angle.
Perpendicular lines
 Definition

What do they look
like?

Symbol

How do you write
them?
Perpendicular Line Examples
Figure 3
Figure 3
a) Find x and y so that
⃡ are
⃡ and 𝐴𝐷
𝐵𝐸
perpendicular.
Figure 4
⃡  𝐻𝑀
⃡ 𝑎𝑛𝑑 𝐽𝐿 ⊥
b) 𝐾𝑂
⃡ . Find the measure
𝐼𝑁
of all seven angles.
Angle Relationship Examples
Figure 5
a) ∠𝐾𝑃𝐿 and ∠𝐽𝑃𝐿 are a
linear pair, 𝑚∠𝐾𝑃𝐿 = 2𝑥 +
24 and 𝑚∠𝐽𝑃𝐿 = 4𝑥 + 36.
What are the measures of the
two angles?
Figure 4
Figure 5
Figure 6
b) 𝑚∠𝐴𝐹𝐸 = 8𝑥 − 10 and
𝑚∠𝐶𝐹𝐷 = 5𝑥 + 17. What
are the measures of the five
angles?
Figure 6
Interpreting Figures Examples
Based on figure 7, determine
whether each statement can
be assumed from the figure
below.
Figure 7
1.  LPM and  MPO
are adjacent angles.
2.  OPQ and  LPM are
complementary.
3.  LPO and  QPO
form a linear pair.
Answer to the Essential Question