Practice identifying and performing geometric transformations, including translations, reflections, rotations, and dilations.
Read each problem carefully. Show your work in the space provided. Use coordinate rules when helpful.
Practice translations, reflections, rotations, and dilations on the coordinate plane
Geometry - 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. List the coordinates of A', B', and C'.
- 3
Reflect point P(-3, 5) across the x-axis. What are the coordinates of P'?
- 4
Reflect point Q(6, -2) across the y-axis. What are the coordinates of Q'?
- 5
A point R is at (4, -7). Rotate R 90 degrees counterclockwise about the origin. What are the coordinates of R'?
- 6
A point S is at (-2, 8). Rotate S 180 degrees about the origin. What are the coordinates of S'?
- 7
Rectangle WXYZ has vertices W(1, 2), X(5, 2), Y(5, 4), and Z(1, 4). Dilate the rectangle by a scale factor of 2 with the center of dilation at the origin. List the coordinates of W', X', Y', and Z'.
- 8
A triangle has side lengths 3 cm, 4 cm, and 5 cm. It is dilated by a scale factor of 3. What are the side lengths of the new triangle?
- 9
Figure A is moved to Figure B by sliding every point 6 units to the right and 1 unit down. What type of transformation is this?
- 10
A figure is flipped over a line so that each point and its image are the same distance from the line. What type of transformation is this?
- 11
The rule (x, y) becomes (x + 2, y - 4) is applied to a figure. Describe the transformation in words.
- 12
The rule (x, y) becomes (-x, y) is applied to a figure. Identify the transformation.
- 13
A shape is rotated 90 degrees clockwise about the origin. Point T(-5, 3) is on the shape. What are the coordinates of T'?
- 14
A quadrilateral has vertices A(-1, 2), B(2, 2), C(3, -1), and D(-2, -1). Reflect the quadrilateral across the x-axis. List the coordinates of A', B', C', and D'.
- 15
A figure is transformed using the rule (x, y) becomes (0.5x, 0.5y). Is the image larger, smaller, or the same size as the original? Explain.