Transformations (Set 2) Worksheet

Sample problems

Give image coordinates or name the transformation. On the coordinate plane: reflect over the $x$-axis $(x,y)\to (x,-y)$, over the $y$-axis $(x,y)\to (-x,y)$, over $y=x$ $(x,y)\to (y,x)$. Rotate about the origin $90^{\circ }$ CCW $(x,y)\to (-y,x)$, $180^{\circ }$ $(x,y)\to (-x,-y)$, $90^{\circ }$ CW $(x,y)\to (y,-x)$. Dilate from the origin by multiplying each coordinate by the scale factor.

1. 1. The point $(-4,1)$ is translated $5$ units left and $2$ units up. Give the coordinates of the image.
2. 2. Point $A(5,-3)$ is reflected over the $y$-axis. Give the coordinates of the image $A^{\prime }$.
3. 3. Point $B(-2,6)$ is reflected over the line $y=x$. Give the coordinates of the image $B^{\prime }$.
4. 4. Point $C(-4,7)$ is rotated $90^{\circ }$ clockwise about the origin. Give the coordinates of the image $C^{\prime }$.

Plus 10 more problems and a full answer key in the PDF.