Distance in the Coordinate Plane: Grade 8 Math Quiz – PDF Download
Ten multiple-choice questions on distance in the coordinate plane (8.G.B.8). Use legs, the Pythagorean Theorem and the distance formula to find lengths and perimeters. Choose the single best answer, then read the explanation to see which mistake each wrong choice matches.
Grade 8Common Core: 8.G.B.8
🎯 Distance in the Coordinate Plane – Grade 8 math quiz
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Question 1
What is the distance between \((-3,4)\) and \((6,4)\)?Two points on a horizontal line.
A3 units
B9 units
C10 units
D18 units
Question 2
What is the distance between \(A(1,2)\) and \(B(4,6)\)?Points A and B.
A5 units
B7 units
C25 units
D12 units
Question 3
What is the distance between \((-2,-3)\) and \((6,3)\)?
A14 units
B10 units
C100 units
D6 units
Question 4
What is the distance between \((1,1)\) and \((4,7)\), to the nearest tenth?
A9.0 units
B6.7 units
C45.0 units
D4.5 units
Question 5
Which expression gives the distance between \((2,5)\) and \((-4,1)\)?
A\(\sqrt{(-4+2)^{2}+(1+5)^{2}}\)
B\((-4-2)^{2}+(1-5)^{2}\)
C\(\sqrt{(-4-2)^{2}-(1-5)^{2}}\)
D\(\sqrt{(-4-2)^{2}+(1-5)^{2}}\)
Question 6
What is the perimeter of the triangle with vertices \((0,0)\), \((3,0)\) and \((3,4)\)?A triangle on a grid.
A7 units
B5 units
C12 units
D25 units
Question 7
Which point is exactly 10 units from the origin?
A\((6,6)\)
B\((7,7)\)
C\((6,8)\)
D\((4,8)\)
Question 8
The distance from \((1,1)\) to \((13,y)\) is 13 units, and \(y\) is greater than 1. What is \(y\)?
A\(y=5\)
B\(y=13\)
C\(y=25\)
D\(y=6\)
Question 9
On a map, each grid unit is 5 miles. Town A is at \((2,2)\) and Town B is at \((8,10)\). How far apart are the towns?Two towns on a map.
A10 miles
B70 miles
C50 miles
D100 miles
Question 10
What is the perimeter of the tilted square with vertices \((1,0)\), \((5,3)\), \((2,7)\) and \((-2,4)\)?A tilted square on a grid.
A20 units
B28 units
C25 units
D10 units
🎉 Quiz complete!
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Remember:
Standard 8.G.B.8: apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
The horizontal and vertical changes are the legs of a right triangle; the segment is the hypotenuse.
