Question

If N || P and P bisects M then _____ (13)

Answer 1

N is perpendicular to M.

Explanation:

That is the symbol for perpendicular not bisects.

So we are given N is parallel to P and P is perpendicular to M, then ___

M is perpendicular to N.

--Let's look at the other choices for fun.

N perpendicular to P? N and P don't even intersect.

P perpendicular to L? It look's like it is a possibility in the picture but we cannot assume things that aren't given. Our statement makes no mention of L.

L parallel to M? Again we have nothing about L.

Answer 2

If N || P and P bisects M then, line N must be perpendicular to line M (N ⊥ M) (option A).

How to determine the relationship between line N and line P?

From the given diagram we are told that line N is parallel to line P and line P is perpendicular to line M.

So line P bisect line M and it is also perpendicular to line M, we can deduce the following;

line N is perpendicular to line M

So based on the information given to us, we can only deduce the relationship between M, N and P.

Hence N must be parallel to P, then line P must be perpendicualr to line M and line N and line M must be perpendicular to each other.