Distance between two points on the grid

Grade 8 Math Worksheet - Challenge Me

NameDate

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

Pia's grid shows a triangle-shaped flower bed with corners (-3, -4), (4, -4) and (4, 3). To the nearest tenth of a unit, what is its perimeter?
Ren's grid shows a paper triangle on grid paper with corners (-5, -2), (3, -2) and (3, 8). To the nearest tenth of a unit, what is its perimeter?
Zee's grid shows a triangle kite frame with corners (-8, 1), (-5, 1) and (-5, 10). To the nearest tenth of a unit, what is its perimeter?
4.
Ari plots a triangle at (0, 0), (2, 1) and (1, 3). Is it a right triangle?
- Yes, it is a right triangle, because two of its sides slant.
- No, it is not a right triangle: the squares of the two shorter sides do not add up to the square of the longest.
- Yes, it is a right triangle: the squares of the two shorter sides add up to the square of the longest.
- You cannot tell without measuring the angles.
5.
Bo's robot marks the corners (-2, 1), (1, 3) and (3, 0). Is the triangle a right triangle?
- Yes, it is a right triangle: the squares of the two shorter sides add up to the square of the longest.
- Yes, it is a right triangle, because two of its sides slant.
- You cannot tell without measuring the angles.
- No, it is not a right triangle: the squares of the two shorter sides do not add up to the square of the longest.
6.
Esme draws a triangle with corners (0, 0), (3, 1) and (1, 4) in pencil. Is it a right triangle?
- No, it is not a right triangle: the squares of the two shorter sides do not add up to the square of the longest.
- You cannot tell without measuring the angles.
- Yes, it is a right triangle: the squares of the two shorter sides add up to the square of the longest, so it has a square corner.
- Yes, it is a right triangle, because two of its sides slant.
7.
On a grid map, Jun joins (-3, 0), (1, 2) and (2, -1). Is the triangle a right triangle?
- Yes, it is a right triangle: the squares of the two shorter sides add up to the square of the longest.
- You cannot tell without measuring the angles.
- Yes, it is a right triangle, because two of its sides slant.
- No, it is not a right triangle: the squares of the two shorter sides do not add up to the square of the longest.
On Kira's map, each square is one km across. The ranger station is at (-2, -1) and the lookout is at (1, 5). To the nearest tenth of a km, how far apart are they?
On Luz's map, each square is one km across. The harbor is at (-3, 2) and the island is at (1, 7). To the nearest tenth of a km, how far apart are they?
On Milo's map, each square is one km across. The depot is at (-5, -3) and the museum is at (1, 3). To the nearest tenth of a km, how far apart are they?

Distance between two points on the grid

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

Pia's grid shows a triangle-shaped flower bed with corners (-3, -4), (4, -4) and (4, 3). To the nearest tenth of a unit, what is its perimeter?
23.9
Ren's grid shows a paper triangle on grid paper with corners (-5, -2), (3, -2) and (3, 8). To the nearest tenth of a unit, what is its perimeter?
30.8
Zee's grid shows a triangle kite frame with corners (-8, 1), (-5, 1) and (-5, 10). To the nearest tenth of a unit, what is its perimeter?
21.5
4.
Ari plots a triangle at (0, 0), (2, 1) and (1, 3). Is it a right triangle?
- Yes, it is a right triangle, because two of its sides slant.
- No, it is not a right triangle: the squares of the two shorter sides do not add up to the square of the longest.
- Yes, it is a right triangle: the squares of the two shorter sides add up to the square of the longest.
- You cannot tell without measuring the angles.
5.
Bo's robot marks the corners (-2, 1), (1, 3) and (3, 0). Is the triangle a right triangle?
- Yes, it is a right triangle: the squares of the two shorter sides add up to the square of the longest.
- Yes, it is a right triangle, because two of its sides slant.
- You cannot tell without measuring the angles.
- No, it is not a right triangle: the squares of the two shorter sides do not add up to the square of the longest.
6.
Esme draws a triangle with corners (0, 0), (3, 1) and (1, 4) in pencil. Is it a right triangle?
- No, it is not a right triangle: the squares of the two shorter sides do not add up to the square of the longest.
- You cannot tell without measuring the angles.
- Yes, it is a right triangle: the squares of the two shorter sides add up to the square of the longest, so it has a square corner.
- Yes, it is a right triangle, because two of its sides slant.
7.
On a grid map, Jun joins (-3, 0), (1, 2) and (2, -1). Is the triangle a right triangle?
- Yes, it is a right triangle: the squares of the two shorter sides add up to the square of the longest.
- You cannot tell without measuring the angles.
- Yes, it is a right triangle, because two of its sides slant.
- No, it is not a right triangle: the squares of the two shorter sides do not add up to the square of the longest.
On Kira's map, each square is one km across. The ranger station is at (-2, -1) and the lookout is at (1, 5). To the nearest tenth of a km, how far apart are they?
6.7
On Luz's map, each square is one km across. The harbor is at (-3, 2) and the island is at (1, 7). To the nearest tenth of a km, how far apart are they?
6.4
On Milo's map, each square is one km across. The depot is at (-5, -3) and the museum is at (1, 3). To the nearest tenth of a km, how far apart are they?
8.5