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?
Tala's grid shows a triangle of three trails with corners (1, -6), (7, -6) and (7, 1). 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?
5.
Ari plots a triangle at (0, 0), (2, 1) and (1, 3). Is it a right triangle?
- 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.
- Yes, it is a right triangle, because two of its sides slant.
- Yes, it is a right triangle: the squares of the two shorter sides 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?
- Yes, it is a right triangle, because two of its sides slant.
- 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.
- 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.
7.
On a grid map, Jun joins (-3, 0), (1, 2) and (2, -1). Is the triangle 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, because two of its sides slant.
- Yes, it is a right triangle: the squares of the two shorter sides 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 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?
On Noah's map, each square is one km across. The trailhead is at (-1, -4) and the bridge is at (1, -1). 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
Tala's grid shows a triangle of three trails with corners (1, -6), (7, -6) and (7, 1). To the nearest tenth of a unit, what is its perimeter?
22.2
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
5.
Ari plots a triangle at (0, 0), (2, 1) and (1, 3). Is it a right triangle?
- 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.
- Yes, it is a right triangle, because two of its sides slant.
- Yes, it is a right triangle: the squares of the two shorter sides 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?
- Yes, it is a right triangle, because two of its sides slant.
- 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.
- 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.
7.
On a grid map, Jun joins (-3, 0), (1, 2) and (2, -1). Is the triangle 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, because two of its sides slant.
- Yes, it is a right triangle: the squares of the two shorter sides 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 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
On Noah's map, each square is one km across. The trailhead is at (-1, -4) and the bridge is at (1, -1). To the nearest tenth of a km, how far apart are they?
3.6