Question

If KL + LM = KM, which of the following statements must be true?

Check all that apply.

A. L does not lie on KM.
B. L is between K and M.
C. L is the midpoint of KM.
D. L lies on KM.

Answer 1

Option B) L is between K and M

Option C) L is the midpoint of KM

Option D) L lies on KM

Solution:

Given that,

KL + LM = KM

The above expression means that,

K and M are the endpoints of a straight line. Point L divides the line equally into two parts KL and LM

Since point L divides the line equally, we can say,

KL + LM = KM

The image is attached below

Let us check the option one by one

Option A) L does not lie on KM

This statement is wrong. Because L lies on KM

Option B) L is between K and M

This statement is true. Because , L lies between K and M

Option C) L is the midpoint of KM

This statement is true. Because, Point L divides the line equally into two parts KL and LM

That is, point L is the midpoint of K and M

Option D) L lies on KM

This statement is true. Because, point L lies on KM