Distance Formula Practice
Practice worksheet for Grade 9 students covering the distance formula in coordinate geometry.
Includes
Standards
Topics
Distance Formula Practice
Name:
Date:
Score:
Read each question carefully and use the distance formula to find the distance between the given points. Show all your work.
1. Find the distance between the points (3, 2) and (7, 5).
2. Calculate the distance between (-1, 4) and (5, -3).
3. Which of the following is the correct distance between the points (0, 0) and (6, 8)?
10 units
14 units
√68 units
√100 units
4. The distance between (2, y) and (2, 9) is 5 units. What are the possible values of y?
4 and 14
5 and 10
9 and 14
7 and 11
5. The distance formula is derived from the Pythagorean theorem.
True
False
6. The distance between any two points is always a positive value.
True
False
7. The distance formula is d = √((x₂ - x₁)² + (y₂ - y₁)²) which is based on the theorem.
8. When two points have the same x-coordinate, the distance between them can be found by taking the absolute difference of their .
9. A triangle has vertices at A(1, 2), B(4, 2), and C(1, 6). Find the perimeter of the triangle.
10. Plot the points P(-2, 3) and Q(4, -1) on the coordinate plane below and then find the distance between them.
Related Worksheets
Arcs and Sectors Geometry Worksheet
A Grade 9 math worksheet focusing on calculating arc length, sector area, and related properties of circles.
Area of an Annulus Worksheet
Calculate the area of an annulus using given radii for Grade 9 geometry students.
Lateral Area Practice Worksheet
A Grade 9 math worksheet focusing on calculating the lateral surface area of various 3D geometric shapes including prisms, cylinders, pyramids, and cones.
Altitude of a Triangle Worksheet
Explore the concept of altitude in triangles, including definitions, properties, and construction methods, suitable for Grade 9 geometry students.
Altitude of a Triangle Worksheet
Explore the concept of altitude in triangles, including definitions, properties, and construction methods, suitable for Grade 9 geometry students.
Segment Length Practice
Practice worksheet for calculating segment lengths on number lines and coordinate planes, including midpoints and distances.
Exterior Angle of a Triangle Worksheet
Explore the properties of exterior angles of triangles with this Grade 9 math worksheet, featuring various problem types.
Grade 9 Math: Coordinate Proofs
This worksheet focuses on coordinate proofs, including proving geometric properties on a coordinate plane, calculating distances, midpoints, and slopes.