Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a distance formula test PDF? Then this Grade 8 test on Finding Distance Between Points on a Grid checks the whole chapter, with points for each question. This test covers distances and perimeters on the coordinate plane using the Pythagorean Theorem. It has 8 questions worth 20 points and should take about 45 minutes. A calculator with a square root key is allowed; show the squared legs for every slanted distance.
Standards: 8.G.B.8 · Level: Grade 8
Question 1 Grid-line distances (2 points)
Find each distance.
- Between (−3, 4) and (−3, −9) (1 point)
- Between (−8, −2) and (6, −2) (1 point)
Question 2 Distance from a graph (3 points)
Use the graph.
- Find the horizontal and vertical distances between A and B. (1 point)
- Write the exact distance AB. (1 point)
- Round AB to the nearest tenth. (1 point)
Question 3 Two distances (3 points)
Find each distance.
- Between (1, −5) and (−6, 3), to the nearest tenth (2 points)
- From the origin to (−12, 35) (1 point)
Question 4 Right triangle test (3 points)
Triangle ABC has vertices A(1, 1), B(7, 3), and C(5, 9).
- Find AB², BC², and AC². (2 points)
- Is △ABC a right triangle? Justify your answer. (1 point)
Question 5 Perimeter on a grid (3 points)
Find the perimeter of the quadrilateral in the graph.
- Find the length of each side. (2 points)
- Find the perimeter to the nearest tenth. (1 point)
Question 6 Missing coordinate (2 points)
Point P is at (−2, 3) and point Q is at (6, y) with y > 0. The distance PQ is 17. Find y.
Question 7 Drone flight (2 points)
On a map, one unit is 0.2 mile. A drone flies straight from a store at (−4, −1) to a house at (8, 4). How many miles does it fly?
Question 8 Robot path (2 points)
A robot moves from A(−3, 2) to B(3, −4) and then to C(3, 3). Find the total distance it travels, to the nearest tenth.
