This document defines geometric concepts like congruent objects, segments, midpoints, and bisectors. It also introduces angles, describing them as dividing the plane into interior, exterior, and points on the angle. It discusses naming angles using different notation and measuring angles. Finally, it mentions classifying angles by their measures and the important Angle Addition Postulate.

1. DEFINITIONS
In geometry two objects that have the same
size and shape are called congruent.
≅ is the symbol for congruent.
Congruent segments are segments that have
equal lengths.

2. DEFINITIONS
The midpoint of a segment is the point
that divides the segment into two
congruent segments.
A bisector of a segment is a line,
segment, ray, or plane that intersects the
segment at its midpoint.

3. ANGLES
What are they?

4. Angles divide the plane
into three distinct set of
points: interior points,
exterior points and the
points on the angle.

5. PRACTICE NAMING ANGLES
1. What are two other
ways to name angle 1
∠1 ?
2. What are two other
names for ∠𝐾𝑀𝐿?
Answers:
1. ∠𝐽𝑀𝐾 or ∠𝐾𝑀𝐽
2. ∠2 𝑜𝑟 ∠𝐿𝑀𝐾

6. HOW DO WE MEASURE ANGLES?
Note how
angle
measure is
written.

7. CLASSIFY ANGLES BY THEIR MEASURES

8. ANGLE ADDITION POSTULATE
We will be using this postulate over 1000
times this year!**Memorize it!