Prove: PR = QS
Mathematics, 07.12.2020 22:30 dragongacha777
Select the correct answer.
Given: Quadrilateral PQRS is a rectangle.
Prove: PR = QS
Reason
Statement
1. Quadrilateral PQRS is a rectangle. given
2. Rectangle PQRS is a parallelogram.
definition of a rectangle
3.QP ≅ RS
QR ≅ PS
4. m∠QPS = m∠RSP = 90°
definition of a rectangle
5. Δ PQS ≅ ΔSRP
SAS criterion for congruence
6. PR ≅ QS
Corresponding sides of congruent triangles are congruent.
7. PR = QS
Congruent line segments have equal measures.
What is the reason for the third step in this proof?
A.
Corresponding sides of congruent triangles are equal in length.
B.
The diagonals of a rectangle bisect each other.
C.
SSS criterion for congruence
D.
Opposite sides of a parallelogram are congruent.
Answers: 1
Mathematics, 21.06.2019 16:00
Planning for the possibility that your home might get struck by lighting and catch on fire is part of a plan
Answers: 1
Select the correct answer.
Given: Quadrilateral PQRS is a rectangle.
Prove: PR = QS
Prove: PR = QS
Computers and Technology, 25.12.2019 01:31