Midpoint Formula practice worksheet from Quizizz featuring 10 questions with coordinate pairs and multiple-choice options.

Here are the step-by-step solutions for each question on the worksheet.

The formula to find the midpoint between two points $(x_1, y_1)$ and $(x_2, y_2)$ is:
$$ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) $$
Basically, you add the x-coordinates together and divide by 2, then do the same for the y-coordinates.

Question 1

Points: $(9, -1)$ and $(-4, 10)$

1. Find the x-coordinate:
$$ \frac{9 + (-4)}{2} = \frac{5}{2} = 2.5 $$
2. Find the y-coordinate:
$$ \frac{-1 + 10}{2} = \frac{9}{2} = 4.5 $$

The midpoint is $(2.5, 4.5)$. This matches option C.

Question 2

Points: $(-1, -2)$ and $(-1, 1)$

1. Find the x-coordinate:
$$ \frac{-1 + (-1)}{2} = \frac{-2}{2} = -1 $$
2. Find the y-coordinate:
$$ \frac{-2 + 1}{2} = \frac{-1}{2} = -0.5 $$

The midpoint is $(-1, -0.5)$. This matches option D.

Question 3

Points: $(-10, 4)$ and $(8, -6)$

1. Find the x-coordinate:
$$ \frac{-10 + 8}{2} = \frac{-2}{2} = -1 $$
2. Find the y-coordinate:
$$ \frac{4 + (-6)}{2} = \frac{-2}{2} = -1 $$

The midpoint is $(-1, -1)$. This matches option A.

Question 4

Points: $(8, 8)$ and $(0, -9)$

1. Find the x-coordinate:
$$ \frac{8 + 0}{2} = \frac{8}{2} = 4 $$
2. Find the y-coordinate:
$$ \frac{8 + (-9)}{2} = \frac{-1}{2} = -0.5 $$

The midpoint is $(4, -0.5)$. This matches option B.

Question 5

Points: $(-9, 4)$ and $(10, -8)$

1. Find the x-coordinate:
$$ \frac{-9 + 10}{2} = \frac{1}{2} = 0.5 $$
2. Find the y-coordinate:
$$ \frac{4 + (-8)}{2} = \frac{-4}{2} = -2 $$

The midpoint is $(0.5, -2)$. This matches option C.

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Final Answer:
1. C
2. D
3. A
4. B
5. C