Grade 8 · Math

8th grade Distance between two points on the grid worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Distance between two points on the grid

Grade 8 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

Milo's map puts the library at (-3, 1) and the park at (5, 4). How long is the across leg of the right triangle under their path, in units?
Noah's map puts the bus stop at (2, -4) and the school at (6, 3). How long is the up-or-down leg of the right triangle under their path, in units?
Pia's map puts the pond at (-7, -2) and the garden at (3, 6). How long is the across leg of the right triangle under their path, in units?
Tala's map puts the castle at (-5, 6) and the tower at (2, 1). How long is the across leg of the right triangle under their path, in units?
Ari draws a ribbon from (2, -3) to (3, 2). The right triangle under it has legs of 1 and 5 units. What is the area of the square on the segment?
Esme draws a trail from (-3, 4) to (3, 5). The right triangle under it has legs of 6 and 1 units. What is the area of the square on the segment?
7.
Jun draws a segment from (-4, -2) to (3, 5) and a right triangle under it. Where is the right-angle corner?
- (-2, 3)
- (3, 5)
- (-0.5, 1.5)
- (3, -2)
8.
Kira sketches a segment from (1, -6) to (6, 2), with a right triangle under it. Where is the right-angle corner?
- (-6, 6)
- (6, -6)
- (6, 2)
- (3.5, -2)
9.
On grid paper, Luz joins (-7, 1) to (-2, 8) with a right triangle under it. Where is the right-angle corner?
- (-4.5, 4.5)
- (-2, 8)
- (-2, 1)
- (1, -2)
10.
Milo's robot rolls from (-5, -5) to (4, -1), with a right triangle drawn under its path. Where is the right-angle corner?
- (4, -1)
- (-5, 4)
- (-0.5, -3)
- (4, -5)

8th grade Distance between two points on the grid worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Distance between two points on the grid. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can draw the right triangle under a slanted segment and count its legs, even across zero.
I can find the distance between two points as the side of the square on the segment: an exact root or to the nearest tenth.
I can compare two distances, find a perimeter with a slanted side, and test whether a triangle on the grid is a right triangle.

Standard: 8.G.B.8

Words to know

segment: The straight piece of line between two points.

leg (across, up or down): A side of the right triangle that runs along a grid line.

right-angle corner: Where the across leg meets the up-or-down leg.

distance: How long the straight segment is: the side of its square.

across zero: From a negative number to a positive one: add the two parts.

Common mistakes

Your child subtracted the sizes of two coordinates that sit on opposite sides of zero. Going from -3 to 5 is 3 units to zero and 5 more: 8 in all. Count the squares on the grid together.

Your child counted the wrong leg of the triangle. 'Across' is the change in x, the first numbers; 'up or down' is the change in y, the second numbers.

Your child added the two legs of the triangle to get the slanted distance. The squares on the legs add up to the square on the slanted side; the lengths do not. Try legs of 3 and 4: the slanted side is 5, not 7.

Questions parents ask

What is the most common mistake with distance between two points on the grid?

Your child subtracted the sizes of two coordinates that sit on opposite sides of zero. Going from -3 to 5 is 3 units to zero and 5 more: 8 in all. Count the squares on the grid together.

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

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