Download 2.7 Proving Segment Relationships

Proving Segment
Relationships
Section 2-7
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.
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.
P
Q
R
Theorem 2.2
Congruence
of segments
is reflexive, symmetric,
and transitive.
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
c
hypotenuse.
a
a2  b2  c2
a b  c
2
2
2
b