5. Similarity and Transformations

Rigid Motions — Quiz

Test your understanding of rigid motions with 5 practice questions.

Practice Questions

Question 1

Which of the following transformations maps a point $(x,y)$ to $(y, -x)$?

Question 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 line $y=x$, what are the new coordinates of vertex $P'$?

Question 3

Which matrix represents a reflection across the y-axis?

Question 4

A point $A=(3, -1)$ is rotated $270^\circ$ clockwise about the origin. What are the coordinates of its image $A'$?

Question 5

If a figure is translated by the vector $\vec{v_1} = \begin{pmatrix} 1 \\ 2 \end{pmatrix}$ and then rotated $180^\circ$ about the origin, which of the following statements is true about the final image?