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
Related Worksheets
Scaled Copies in Geometry
Explore the properties of scaled copies, including scale factors, corresponding angles, and side lengths. This worksheet is designed for Grade 10 Geometry students.
Heron's Formula Worksheet - Grade 10
Calculate the area of triangles using Heron's Formula with this comprehensive Grade 10 math worksheet.
Hexaflexagon Exploration
Explore the fascinating world of hexaflexagons, their construction, properties, and mathematical principles.
Slicing 3D Figures Worksheet
Explore cross-sections of various 3D geometric figures, including prisms, pyramids, cylinders, and cones, with this Grade 10 math worksheet.
Parts of a Circle Worksheet
Identify and define the various parts of a circle, including radius, diameter, chord, secant, tangent, arc, and sector.
Grade 10 Geometry: Secants
A Grade 10 math worksheet focusing on understanding and applying properties of secants in circles.
Similar Polygons Worksheet
A Grade 10 Math worksheet covering similar polygons, including identifying corresponding sides and angles, and calculating missing side lengths.
Equation of a Circle Worksheet
Practice identifying, writing, and graphing the equation of a circle in standard form.