1. Use Segments and Congruence & Midpoints
Section 1 – 2/1-3
Use Segments and Congruence & Midpoints

2. A statement or rule accepted without proof. Also called an axiom.
Definition:
Facts/Characteristics:
Examples:
Non-examples:
A statement or rule accepted without proof.
Also called an axiom.
Postulate

3. Theorem A statement or rule that can be proven.
Definition:
Facts/Characteristics:
Examples:
Non-examples:
A statement or rule that can be proven.
Theorem
Pythagorean Theorem can be proven.

4. Symbol for congruence:
Definition:
Facts/Characteristics:
Examples:
Non-examples:
Line segments that have the same length.
Symbol for congruence:
Congruent segments
Red ticks mean congruent

5. Ruler Postulate (Postulate 1)
Definition:
Facts/Characteristics:
Examples:
Non-examples:
The distance between points A and B is the absolute value of the difference of the coordinates of A and B.
The real number that corresponds to a point is the coordinate of the point. x1 B A x2
AB = │x2 – x1│
Ruler Postulate (Postulate 1)

6. B A C AC AB BC If B is between A and C, then AB + BC = AC. Segment
Definition:
Facts/Characteristics:
Examples:
Non-examples:
If B is between A and C, then AB + BC = AC. B A C AC AB BC
Segment
Addition Postulate
(Postulate 2)

7. B is the midpoint of AC Midpoint
Definition:
Facts/Characteristics:
Examples:
Non-examples:
The point that divides a segment into two congruent segments
B is the midpoint of AC
Midpoint

8. Line l bisects AC at point B
Definition:
Facts/Characteristics:
Examples:
Non-examples:
A point, ray, line, line segment or plane that intersects a segment at its midpoint.
Line l bisects AC at point B
Segment
Bisector

9. Section 1.2/1.3
1.2 pg – 11, 21 – pg