Question

A line segment AB
is bisected at point P and through point P another line segment
PQ, which is perpendicular to AB, is drawn. Show that: QA = QB.

Answer 1

Answer:

Given:A line segment AB is bisected at point P

=> AP=PB

Also, QP is perpendicular to AB

To Prove: QA =QB

Proof: In triangles APQ & BPQ

AP=PB( given)

<APQ=<BPQ (each 90)

QP=QP (common)

Therefore, triangles APQ =~ BPQ (by SAS congruence rule)

=> QA = QB(by C. P. C. T)

HOPE THIS WILL HELP YA

MARK ME AS BRILLIANT