66.1k views
4 votes
*30 points* Consider the figure shown on the coordinate plane. What are the coordinates of the midpoint of line segment AC?

A) -2, -1
B) 4, 0
C) -1, 1
D) -1, -1

*30 points* Consider the figure shown on the coordinate plane. What are the coordinates-example-1

1 Answer

4 votes

Midpoint of AC = (–1, –1)

Solution:

In the given graph we can find the coordinates of A and C.

Coordinates of A = (–4, 2)

Coordinates of C = (2, –4)

Here,
x_1=-4,x_2=2,y_1=2,y_2=-4

Let us find the midpoint of the segment AC.

Midpoint formula:


$\text{Midpoint} =\left((x_1+x_2)/(2), (y_1+y_2)/(2)\right)


$=\left((-4+2)/(2), (2-4)/(2)\right)


$=\left((-2)/(2), (-2)/(2)\right)


$=(-1, -1)

Midpoint of AC = (–1, –1)

Option D is the correct answer.

Hence the coordinates of the midpoint of the line segment AC is (–1, –1).

User Nakib
by
7.8k points

No related questions found

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