2 5 study guide and intervention postulates and paragraph proofs

QR + RS = QS Given Subs. Segment Congruence Remember that segment measures are reflexive, symmetric, and transitive. Since segments with the same measure are congruent, congruent segments are also reflexive, symmetric, and transitive.

Postulate 1: Through any two points, there is exactly one line. Postulate 2: The measure of any line segment is a unique positive number. The measure (or length) of AB is a positive number, AB. Postulate 7: If two points lie in a plane, then the line joining them lies in that plane.

Do planes GFE and HBC intersect? Explain. No. DC is contained in plane N, but it does not contain point B.

Planes P and Q only intersect along line r. Postulate 2.7, which states that if two planes intersect, then their intersection is a line. ANSWER: The left side and front side have a common edge line r.