Practice using the distance formula and midpoint formula to solve coordinate geometry problems.
Read each problem carefully. Show your work in the space provided. Use exact answers when possible, and round only when the problem asks you to.
Finding lengths and middle points on the coordinate plane
Math - Grade 9-12
- 1
Find the distance between A(2, 3) and B(8, 11).
- 2
Find the midpoint of the segment with endpoints C(-4, 7) and D(6, -1).
- 3
Find the distance between P(-3, -5) and Q(9, 0). Leave your answer in simplest radical form.
- 4
Find the midpoint of the segment with endpoints R(10, -6) and S(-2, 4).
- 5
The midpoint of segment AB is M(3, -2). One endpoint is A(7, 4). Find the other endpoint B.
- 6
Find the distance between E(-6, 2) and F(1, -4). Round your answer to the nearest tenth.
- 7
A line segment has endpoints G(-8, -3) and H(4, 5). Find its midpoint and its length.
- 8
A circle has center K(2, -1). Point L(8, 7) lies on the circle. Find the radius of the circle.
- 9
Points A(1, 2), B(7, 2), C(7, 8), and D(1, 8) form a quadrilateral. Use distances to classify the quadrilateral as a square, rectangle, or neither.
- 10
The endpoints of a diameter of a circle are A(-5, 9) and B(7, -3). Find the center of the circle.
- 11
Point M(4, 6) is the midpoint of segment PQ. If P(-2, 10), find Q.
- 12
Triangle JKL has vertices J(-1, 1), K(5, 1), and L(2, 5). Use distances to determine whether the triangle is isosceles, scalene, or equilateral.