This 45-minute test covers Common Core standard 8.G.B.8. It has 8 questions worth 20 points in total. Show every calculation, include units, and round only where the question says to. A calculator may be used for square roots.
Test information
- Grade: Grade 8
- Chapter: Distance in the Coordinate Plane
- Common Core: 8.G.B.8
- Time: 45 minutes
- Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 3 pts; Question 5: 3 pts; Question 6: 2 pts; Question 7: 3 pts; Question 8: 3 pts)
Question 1: Horizontal and vertical distance (2 points)
Find each distance.
- Between \((-4,3)\) and \((5,3)\) (1 point)
- Between \((-2,-6)\) and \((-2,8)\) (1 point)
Question 2: Distance between two points (2 points)
Find the distance between \(A(-3,-2)\) and \(B(5,4)\).
Question 3: Rounded distance (2 points)
Find the distance between \((1,-4)\) and \((7,-1)\) to the nearest tenth.
Question 4: Perimeter of a triangle (3 points)
Triangle \(DEF\) has vertices \(D(-4,-2)\), \(E(1,-2)\) and \(F(1,1)\).
- Find the length of each side. Round to the nearest tenth if needed. (2 points)
- Find the perimeter. (1 point)
Question 5: Is it a right triangle? (3 points)
Triangle \(JKL\) has vertices \(J(-1,1)\), \(K(3,3)\) and \(L(0,-1)\). Determine whether it is a right triangle. Justify your answer with calculations.
Question 6: Missing coordinate (2 points)
The distance between \(A(-2,-1)\) and \(B(x,5)\) is 10 units, and \(x\) is positive. Find \(x\).
Question 7: Perimeter of a trapezoid (3 points)
Find the perimeter of the trapezoid with vertices \((0,0)\), \((8,0)\), \((5,4)\) and \((2,4)\). Round to the nearest tenth.
Question 8: Bike to school (3 points)
On a map, Maya’s house is at \(H(-5,-3)\) and her school is at \(S(7,2)\). Each grid unit is 0.1 mile.
- Find the straight-line distance in miles. (2 points)
- Maya bikes at 6.5 miles per hour. How many minutes does the trip take? (1 point)
See every chapter on the Grade 8 math page.