Distance and Midpoint Formula Worksheet
This worksheet provides practice problems for calculating the distance between two points and finding the midpoint of a line segment in a coordinate plane.
Includes
Standards
Topics
Distance and Midpoint Formula Worksheet
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Find the distance between the points (3, 4) and (7, 1).
2. Calculate the distance between the points (-2, 5) and (4, -3).
3. A line segment has endpoints at (0, 0) and (5, 12). What is the length of the segment?
4. Find the midpoint of the line segment with endpoints (1, 2) and (7, 10).
5. What is the midpoint of the segment connecting (-4, 6) and (2, -2)?
6. The coordinates of the endpoints of a diameter of a circle are (3, -5) and (9, 1). Find the coordinates of the center of the circle.
7. Which of the following is the distance formula?
d = √((x2 + x1)² + (y2 + y1)²)
d = √((x2 - x1)² - (y2 - y1)²)
d = √((x2 - x1)² + (y2 - y1)²)
d = √((x2 + x1)² - (y2 + y1)²)
8. The midpoint formula is given by:
((x1 + x2)/2, (y1 + y2)/2)
((x2 - x1)/2, (y2 - y1)/2)
((x1 - x2)/2, (y1 - y2)/2)
((x1 + y1)/2, (x2 + y2)/2)
9. The distance formula is derived from the theorem.
10. The midpoint of a line segment is the point that divides the segment into two parts.
11. A triangle has vertices at A(1, 1), B(4, 5), and C(7, 1). Find the perimeter of the triangle. (Round to two decimal places)
12. The distance between two points is always a positive value.
True
False
13. If the midpoint of a segment is (0, 0) and one endpoint is (2, 3), the other endpoint is (-2, -3).
True
False