Question

Help!! Please and thank you!

Answer 1

It is clear that T lies on the perpendicular bisector of NP. See the explanation below.

What is the explanation for the assertion above?

Given that M (X,Y) is the midpoint of NP

X thus = (5+1)/2

= 3

Y = (7+1)/2

= 4

Hence, we have M (3,4)

Consequent on the above:

Slope TM (m') = (4-2) / (3-6) = - 2/3

Slope of NP (m) =  (7-1) / (5-1) = 6/4 = 3/2
M' = -1/m

Hence

TM ⊥ NP; and NP ⊥ TM

Learn more about perpendicular bisectors at:
brainly.com/question/11006922
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