Question

a line segment ab is bisected at point P and through point p another line segment PQ ,which is perpendicular to ab,is drwan. show that Qa =qb

Answer 1

Consider the figure for reference,

In Triangles APQ & BPQ,

P bisects AB thus PA =PB...(1)

PQ is perpendicular to AB, thus ∠ QPA = ∠ QPB = 90°

PQ is a common segment to both the triangles APQ & BPQ

Thus by the definition of congruence that 2 triangles are congruent if 2 sides and an angle formed by them are equal in each triangle. ALso knon as Side-ANgle-SIde(SAS)

Thus triangles APQ & BPQ are congruent 

Thus side QA = QB

Answer 2

Answer:

I got ten points wow

Thanks❤❤