Proving Segment Relationships

1
Proving Segment Relationships

• Section 2-7

2
Ruler Postulate

• The points on any line can be paired with real
  numbers so that, given any 2 points A and B on
  the line, A corresponds to zero, and B
  corresponds to a positive number.

3
Segment Addition Postulate

• If Q is between P and R, then PQ QR PR.
• If PQ QR PR, then Q is between P and R.

R
P
Q
4
Theorem 2.2

• Congruence of segments is reflexive, symmetric,
  and transitive.

5
Pythagorean Theorem

• In a right triangle, the sum of the squares of
  the measures of the legs equals the square of the
  measure of the hypotenuse.

c
a
b