Practice identifying, describing, and performing translations, rotations, and reflections on the coordinate plane.
Read each problem carefully. Show your work in the space provided. When coordinates are given, write the transformed coordinates clearly.
Describe and apply movements on the coordinate plane
Math - Grade 6-8
- 1
Point A is located at (2, 3). Translate point A 4 units right and 2 units down. What are the coordinates of A'?
- 2
Triangle ABC has vertices A(1, 1), B(4, 1), and C(2, 3). Translate the triangle 3 units left and 5 units up. Write the coordinates of A', B', and C'.
- 3
A point P(-3, 5) is reflected across the x-axis. What are the coordinates of P'?
- 4
A point Q(6, -2) is reflected across the y-axis. What are the coordinates of Q'?
- 5
Rectangle WXYZ has vertices W(-1, 2), X(3, 2), Y(3, -1), and Z(-1, -1). Reflect the rectangle across the x-axis. Write the coordinates of W', X', Y', and Z'.
- 6
Point R(4, 7) is rotated 90 degrees counterclockwise about the origin. What are the coordinates of R'?
- 7
Point S(-2, 5) is rotated 180 degrees about the origin. What are the coordinates of S'?
- 8
Point T(-6, -1) is rotated 90 degrees clockwise about the origin. What are the coordinates of T'?
- 9
A figure has vertices A(2, 1), B(5, 1), and C(5, 4). Reflect the figure across the y-axis. Then translate it 2 units right. Write the final coordinates of A'', B'', and C''.
- 10
A shape is moved so that every point shifts 7 units left and 3 units up. What type of transformation is this, and does the shape change size or orientation?
- 11
A triangle is flipped over the line y = 0. What type of transformation is this, and what is another name for the line y = 0?
- 12
Point M(3, -4) is transformed to M'(-3, -4). Identify the transformation.
- 13
Point N(2, 6) is transformed to N'(-6, 2). Identify the rotation about the origin.
- 14
Parallelogram ABCD has vertices A(-4, -2), B(-1, -2), C(0, 1), and D(-3, 1). Rotate the parallelogram 180 degrees about the origin. Write the coordinates of A', B', C', and D'.
- 15
A point starts at (1, -3). It is translated 5 units up, reflected across the y-axis, and then rotated 180 degrees about the origin. What are the final coordinates?