Grade 10 · Geometry & measurement

Midpoint formula practice

Midpoint formula is a grade 10 math skill aligned to Common Core standard HSG.GPE.B.6: find the point on a directed line segment between two given points that partitions the segment in a given ratio. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 15 midpoint formula problems our math games drill.

CCSS HSG.GPE.B.615 questions in the bank

Sample questions

Try 8 for free

Question 1easy

$M(4, 7)$ is the midpoint of segment $AB$ , and $A = (1, 5)$ . What is the $x$ -coordinate of $B$ ?

Since $\dfrac{1 + B_x}{2} = 4$ , we get $B_x = 8 - 1 = 7$ .

Question 2easy

Find the midpoint of $(2, 8)$ and $(6, 4)$ . What is the $x$ -coordinate?

$x$ -coordinate $= \dfrac{2 + 6}{2} = \dfrac{8}{2} = 4$ .

Question 3easy

Find the midpoint of $(2, 8)$ and $(6, 4)$ . What is the $y$ -coordinate?

$y$ -coordinate $= \dfrac{8 + 4}{2} = \dfrac{12}{2} = 6$ .

Question 4easy

The midpoint of $\overline{PQ}$ is $(6, 2)$ , and $P = (9, 8)$ . What is the $y$ -coordinate of $Q$ ?

Since $\dfrac{8 + Q_y}{2} = 2$ , we get $Q_y = 4 - 8 = -4$ .

Question 5easy

Find the midpoint of $(0, 10)$ and $(8, 2)$ . What is the $x$ -coordinate?

$x$ -coordinate $= \dfrac{0 + 8}{2} = \dfrac{8}{2} = 4$ .

Question 6easy

Find the midpoint of $(0, 10)$ and $(8, 2)$ . What is the $y$ -coordinate?

$y$ -coordinate $= \dfrac{10 + 2}{2} = \dfrac{12}{2} = 6$ .

Question 7easy

Point $M(5, 4)$ is the midpoint of a segment with one endpoint at $(2, 1)$ . What is the $x$ -coordinate of the other endpoint?

Since $\dfrac{2 + x}{2} = 5$ , we get $x = 10 - 2 = 8$ .

Question 8easy

Find the midpoint of $(4, 6)$ and $(10, 2)$ . What is the $x$ -coordinate?

$x$ -coordinate $= \dfrac{4 + 10}{2} = \dfrac{14}{2} = 7$ .

Tests that cover midpoint formula:

ACT ACT Aspire MAP Growth LEAP 2025 VTCAP

More Grade 10 skills:

Equation of a circle Perimeter and arc length Circle theorems Similar right triangle trigonometry Circle equation translations Special right triangles Advanced area formulas Normal distribution basics All Grade 10 practice →

Drill it inside a game.

The free placement test finds your level, then every match serves midpoint formula questions at exactly the right difficulty.