Question

In the figure , PQRS is a square.M is the midpoint of PQ and AB perpendicular on RM . Prove that RA = RB .
Please it's urgent​

Answer 1

in ∆APM and ∆BQM, seg PQ=seg QM. (given)

angle AMP= angle BMQ (vertically opposite angles)

angle APM=angle BQM (both are 90 degrees)

hence both above triangles are congruent by ASA test.

thus seg AM= seg MB.

consider ∆ ARM and ∆ BRM.

side RM= side RM (common side)

angle RMA= angle RMB (both are 90 degrees)

side AM= side MB

therefore above triangles are congruent by SAS test.

thus side AR= side RB.

Answer 2

Answer:

IN THE given figure pqrs is a square M is the midpoint of PQ and AB perpendicular RM prove that RA=RB.

Step-by-step explanation:

RA=RB C.PCT

PROVED ABOVE