Act Math Practice

DVD Rentals

Coordinate Geometry Answer 4:

4. Consider two stores in a town. The first store is a DVD rentals store. The second is a pizza place where customers collect their pizzas after they order pizza online. The DVD rentals store is represented by the coordinates (-4, 2) and the online pizza place is represented by the coordinates (2,-4). If the DVD rental store and the online pizza place are connected by a line segment, what is the midpoint of this line?

F. (1, 1)

G. (-1,-1)

H. (2, 2)

J. (-2,-2)

K. (-3,-3)

The correct answer is G.

To find midpoints, use these formulas:

midpoint x = (x₁ + x₂) ÷ 2
midpoint y = (y₁ + y₂) ÷ 2

First, find the midpoint of the x coordinate:

midpoint x = (x₁ + x₂) ÷ 2
midpoint x = (-4 + 2) ÷ 2
midpoint x = -2 ÷ 2
midpoint x = -1

Then find the midpoint of the y coordinate:

midpoint y = (y₁ + y₂) ÷ 2
midpoint y = (2 + -4) ÷ 2
midpoint y = -2 ÷ 2
midpoint y = -1

So the midpoint is (-1, -1)

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