+912 Drag and drop a statement or reason to each box to complete the proof.
Given: PQ¯¯¯¯¯≅PR¯¯¯¯¯
Prove: ∠Q≅∠R
Statement Reason
PQ¯¯¯¯¯ ≅ PR¯¯¯¯¯ Given
Draw PM¯¯¯¯¯¯ so that M is the midpoint of QR¯¯¯¯¯ . Two points determine a line.
( ) Definition of midpoint
PM¯¯¯¯¯¯ ≅ PM¯¯¯¯¯¯ ( )
( ) ( )
∠Q ≅ ∠R ( )
OPTIONS: CPCTC, QM¯¯¯¯¯≅ RM¯¯¯¯¯¯, △PQM ≅△ PRM , Reflexive Property of Congruence, SSS Congruence Postulate, HL Congruence Theorem
+2440 This might help you!
| \(\overline{QM}\cong\overline{RM}\) | Definition of midpoint |
| \(\overline{PM}\cong\overline{PM}\) | Reflexive Property of Congruence |
| \(\triangle PQM\cong\triangle PRM\) | Side-Side-Side Triangle Congruence Postulate |
+633 Simple;
PQR is an isosceles triangle, and Q and P are reflected over the one line of symmetry, which happens to be PM if M is the midpoint of PR.
+2440 Yes, you are right that the isosceles triangle theorem would end this problem in one step.
