Distance and Midpoint Formulas Worksheet

Practice calculating distance and midpoint between two points on a coordinate plane.

Grade 11 Math GeometryDistance and Midpoint

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2 Short AnswerCustomGraph

Standards

CCSS.MATH.CONTENT.HSA.REI.D.10CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

mathgeometrydistance formulamidpoint formulagrade 11

6 sections · Free to use · Printable

Distance and Midpoint Formulas

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Read each question carefully and solve for the distance and midpoint between the given points. Show all your work.

1. Find the distance between the points (2, 3) and (5, 7).

2. Calculate the distance between (-4, 1) and (6, -5).

3. What is the distance between the origin (0,0) and the point (8, -15)?

4. Find the midpoint of the line segment connecting (1, 2) and (7, 10).

5. Determine the midpoint of the segment with endpoints (-3, 6) and (5, -2).

6. The endpoints of a diameter of a circle are (4, -1) and (-2, 9). Find the center of the circle (which is the midpoint of the diameter).

7. Consider the points A(1, 1) and B(4, 5).

a) Calculate the distance between points A and B.

b) Find the midpoint of the segment AB.

8. A line segment has one endpoint at P(-2, -3) and its midpoint at M(1, 0). Find the coordinates of the other endpoint Q.

9. Plot the points (0, 4) and (6, 0) on the coordinate plane below. Then, calculate the distance and midpoint between them.

Distance:

Midpoint: