129k views
2 votes
If JK has endpoints J(-2, 3) and K(6, 5), and LN has endpoints L(0, 7) and N (4, 1), then JK and LN have the same midpoint

1 Answer

4 votes
Given:
J (-2,3), K(6,5), L(0,7) and N(4,1).

Note that the midpoint of a line connecting the two points (x₁,y₁) and (x₂,y₂) is
(x,y), where
x = (x₁ + x₂)/2
y = (y₁ + y₂)/2

Calculate the midpoint for line JK.
x = (-2 + 6)/2 = 2
y = (3 + 5)/2 = 4
The midpoint of line JK is (2, 4).

Calculate the midpoint of line LN.
x = (0 + 4)/2 = 2
y = (7 + 1/2 = 4
The midpoint of line LN is (2, 4).

The midpoints for lines JK and LN are the same.

Answer:
Lines JK and LN have the same midpoint.
User Stedes
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.