Grade 9 Math: Rotations
This worksheet focuses on understanding and applying rotations in a coordinate plane, including identifying rotation rules and performing transformations.
Includes
Standards
Topics
Grade 9 Math: Rotations
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following describes a 90-degree clockwise rotation about the origin?
(x, y) → (-x, y)
(x, y) → (y, -x)
(x, y) → (-y, x)
(x, y) → (-x, -y)
2. A point P(3, -2) is rotated 180 degrees about the origin. What are the coordinates of P'?
(-3, 2)
(3, 2)
(-2, -3)
(2, 3)
3. A rotation is a transformation that turns a figure about a fixed point called the .
4. A 270-degree counter-clockwise rotation about the origin is equivalent to a rotation clockwise about the origin.
5. Plot the triangle with vertices A(1, 1), B(4, 1), and C(1, 5) on the coordinate plane below. Then, rotate the triangle 90 degrees counter-clockwise about the origin and label the new vertices A', B', and C'.
Write the coordinates of the rotated vertices:
A' =
B' =
C' =
6. A rotation changes the size of a figure.
True
False
7. Rotating a figure 360 degrees about its center returns the figure to its original position.
True
False
8. A square has vertices at (0, 0), (3, 0), (3, 3), and (0, 3). If the square is rotated 90 degrees clockwise about the point (0, 0), what are the new coordinates of its vertices?
9. Describe the rotation that maps triangle DEF to triangle D'E'F' where D(2, 1), E(5, 1), F(2, 3) and D'(-1, 2), E'(-1, 5), F'(-3, 2).
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.