Question

Given below are some triangles and lengths of line segments. Identify in which figures, ray PM is the bisector of ∠ QPR.

Answer 1

in fig 1.33 & 1.35 ,Ray PM is bisector angle QPR

Answer 2

Answer:

fig 1 & fig 3  ray PM is the bisector of ∠ QPR.

Step-by-step explanation:

if  ray PM is the bisector of ∠ QPR.

then

QM/MR =  QP/PR

fig 1

iff 3.5/1.5 = 7/3

iff 10.5 = 10.5

True

Fig 1 ray PM is the bisector of ∠ QPR.

fig 2

iff 8/6 = 10/7

iff 56 = 60

but 56 ≠ 60

so not true

Fig 2 ray PM is not the bisector of ∠ QPR.

fig 3

iff 3.6/4 = 9/10

iff 36 = 36

true

Fig 3 ray PM is the bisector of ∠ QPR.