Transformations on the Coordinate Plane
Learning Objective
I can predict the new coordinates of a two-dimensional figure after a dilation, translation, rotation, or reflection.
Practice Questions
This lesson includes 7 practice questions to reinforce learning.
View questions preview
1. A triangle ABC with vertices A(-2, 1), B(1, 3), and C(0, -1) is translated 3 units to the right and 2 units down. Determine the new coordinates of the translated triangle A'B'C'.
2. A rectangle has vertices at P(1, 2), Q(4, 2), R(4, 5), and S(1, 5). If the rectangle is reflected across the y-axis, what are the new coordinates of the vertices P', Q', R', and S'? Explain how the signs of the coordinates change during this transformation.
3. A square with vertices at (2, 2), (2, 4), (4, 4), and (4, 2) is dilated by a scale factor of 1.5 with the origin as the center of dilation. Calculate the area of the original square and the area of the dilated square. What is the ratio of the area of the dilated square to the area of the original square?
...and 4 more questions
Educational Video
Master Coordinate Transformations: Translation, Reflection, Dilation & Rotation Explained!
Math with Ease