Practice Composition of Transformations in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Composition of transformations applies two or more transformations in sequence to a figure.
Order matters, like doing rotate then reflect versus reflect then rotate.
Example 1
mediumPoint P(3, 1) is first reflected over the x-axis, then translated by vector \langle -2, 4 \rangle. Find the final image.
Example 2
hardTriangle ABC with A(1,0), B(3,0), C(2,2) is rotated 90° counterclockwise about the origin, then reflected over the y-axis. Find the final vertices.
Example 3
easyPoint Q(2, -3) is translated by \langle 1, 5 \rangle and then reflected over the x-axis. Find the final image.
Example 4
mediumDescribe the single transformation equivalent to two successive reflections over parallel lines x = 1 and x = 4.