Which of the following is the statement below describing? If a point is on the bisector of an angle, then it is equidistant from

Question

3 years ago

7

the two sides of the angle.

2 answers:

katen-ka-za [31] · Answer 1 · 2022-01-11T08:12:59+03:00

7 0

That's the angle bisector theorem.

iren2701 [21] · Answer 2 · 2022-01-11T10:39:19+03:00

Yes , it is a true statement that if a If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.

Consider a line AB bisected at point M .

∠Q MB=∠A M Q=90°

Consider a point Q on the angle bisector of line

In ΔQMB and ΔAMQ

∠QMB = ∠AMQ=90°

MQ is common.

As QM is perpendicular Bisector, so AM=MB

ΔQMB ≅ ΔAMQ [SAS]

QA=QB [CPCT]