5. Similarity and Transformations

Compositions — Quiz

Test your understanding of compositions with 5 practice questions.

Practice Questions

Question 1

A figure undergoes a reflection across the y-axis, followed by a translation by the vector $\langle 2, -1 \rangle$. If the original point is $(-3, 4)$, what are the coordinates of the final image?

Question 2

Which of the following compositions of transformations will always preserve the size and shape of a figure, but change its orientation and position?

Question 3

A figure is rotated $180^\circ$ about the origin, and then reflected across the line $y = x$. If the original point is $(2, -5)$, what are the coordinates of the final image?

Question 4

What is the primary characteristic that distinguishes a composition of transformations from a single transformation?

Question 5

A figure has both translational and rotational symmetry. Which of the following shapes could exhibit this combination of symmetries?