* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

# Download 2.7 Proving Segment Relationships

History of trigonometry wikipedia , lookup

Foundations of geometry wikipedia , lookup

List of important publications in mathematics wikipedia , lookup

Location arithmetic wikipedia , lookup

Georg Cantor's first set theory article wikipedia , lookup

Vincent's theorem wikipedia , lookup

Wiles's proof of Fermat's Last Theorem wikipedia , lookup

John Wallis wikipedia , lookup

Nyquist–Shannon sampling theorem wikipedia , lookup

Fermat's Last Theorem wikipedia , lookup

Four color theorem wikipedia , lookup

Line (geometry) wikipedia , lookup

Central limit theorem wikipedia , lookup

Brouwer fixed-point theorem wikipedia , lookup

Fundamental theorem of calculus wikipedia , lookup

Fundamental theorem of algebra wikipedia , lookup

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