Distance Formula Test – Grade 8 Math (Printable PDF)

Question 1 Grid-line distances (2 points)

Find each distance.

1. Between (−3, 4) and (−3, −9) (1 point)
2. Between (−8, −2) and (6, −2) (1 point)

Question 2 Distance from a graph (3 points)

Use the graph.

1. Find the horizontal and vertical distances between A and B. (1 point)
2. Write the exact distance AB. (1 point)
3. Round AB to the nearest tenth. (1 point)

Question 3 Two distances (3 points)

Find each distance.

1. Between (1, −5) and (−6, 3), to the nearest tenth (2 points)
2. 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).

1. Find AB², BC², and AC². (2 points)
2. 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.

1. Find the length of each side. (2 points)
2. 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.