Question

Have a great and blessed day.Good evening can someone help me?Can someone help me and thank you for the help.

Answer 1

Given: QN = RN and MN=NP

Given: m∠1=m∠2

Since SN is perpendicular to MP.

`\implies m\angle3=m\angle4\text{ (Complementary angles of }\angle1\text{ and }\angle2)`

Given: MN=NP

• Therefore triangles QNM is similar to triangle RNP by the SAS Congruence Theorem.

• Since two corresponding sides are equal, the triangles are in fact equal triangles.

Thus, the length of the third corresponding sides QM and RP must also be equal by CPCTC.