
Patrick B. answered 07/14/20
Math and computer tutor/teacher
Given: PQ=17;
QR=17;
Q is between P and R
Prove Q is the midpoint of PR
Statement #1: PR = PQ + QR , by distance postulate
Statement #2: PQ=17 = QR = x : transitive property; substitution
Statement #3: PR = x+x = 2x : substitution; combines like terms
Statement #4: (1/2)PR = x = PQ = QR: division property of equality;
substitution
Therefore Q is the midpoint of PR because it is exactly halfway between P and R
[end of proof]