Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Draw the right triangle under every segment and label both legs before squaring.
Standards: 8.G.B.8 · Level: Grade 8
Problem 2 Down a column ★★★
Find the distance between (3, −6) and (3, 9).
Problem 3 From the origin ★★★
A sensor is placed at (−36, 77) on a coordinate plane. How many units is it from the origin?
Problem 4 Not a whole number ★★★
Find the distance between (−4, 7) and (2, −2) to the nearest tenth.
Problem 5 Read the graph ★★★
Find the distance between points K and L in the graph. Give an exact answer and a decimal to the nearest tenth.
Problem 6 Twenty units ★★★
Find the distance between (−6, −3) and (10, 9).
Problem 7 Equal legs ★★★
Find the distance between (2, −7) and (−4, −1). Write the answer in simplest radical form and as a decimal.
Problem 8 Right triangle on a grid ★★★
Triangle ABC has vertices A(2, −1), B(5, 0), and C(4, 3). Find the squared length of each side and decide whether the triangle is a right triangle.
Problem 9 Perimeter of a rectangle ★★★
A rectangle has vertices (−2, −3), (4, −3), (4, 2), and (−2, 2). Find its perimeter.
Problem 10 Perimeter of a triangle ★★★
A triangle has vertices (1, 1), (6, 1), and (6, 13). Find its perimeter.
Problem 11 Triangle perimeter from a graph ★★★
Find the perimeter of △DEF to the nearest tenth.
Problem 12 Find the missing coordinate ★★★
Point P is at (2, 1) and point Q is at (x, 9). The distance PQ is 10. Find the possible values of x.
Problem 13 Isosceles check ★★★
Triangle ABC has vertices A(−1, 2), B(5, 2), and C(2, 8). Show that the triangle is isosceles and find its perimeter to the nearest tenth.
Problem 14 Trapezoid perimeter ★★★
Find the perimeter of quadrilateral ABCD.
Problem 15 Which is closer? ★★★
Point A is at (−7, 5) and point B is at (6, −6). Which point is closer to the origin? Show the squared distances.
Problem 16 Hiking map ★★★
On a trail map, one unit is 1 mile. The trailhead is at (−5, −3) and the campsite is at (3, 2). How far apart are they in a straight line, to the nearest tenth of a mile?
Problem 17 Drone delivery ★★★
On a city map, one unit is 0.25 mile. A drone flies straight from a store at (−6, −2) to a house at (9, 6). How many miles does it fly?
Problem 18 Garden fence ★★★
A garden plan has vertices (0, 0), (8, 0), and (8, 15), and each grid unit is 2 feet. Fencing costs $3.50 per foot. Find the cost of fencing the whole perimeter.
Problem 19 Robot route ★★★
A robot drives from A(−5, −2) to B(−2, 4) and then to C(4, −2). Find the total length of the route to the nearest tenth. How much shorter is the straight path from A to C?
Problem 20 Rhombus on the grid ★★★
Quadrilateral WXYZ has vertices W(−5, 0), X(0, 2), Y(5, 0), and Z(0, −2). Show that all four sides are equal and find the perimeter to the nearest tenth.
