Question

For exercises 26-28, use quadrilateral $QRST$ shown at the right.

27. Graph the pre-image and the image.

Short answer

Graph of pre-image and image is

Step-by-step solution

- Meaning of pre-image

Pre-image is the quadrilateral in original position

Vertices of quadrilateral $QRST$ are $Q\left(2,3\right),R\left(4,-3\right)\text{,}S\left(2,-5\right)\text{, and}T\left(-3,-2\right)$

- Meaning of image

Image is the quadrilateral $Q\text{'}R\text{'}S\text{'}T\text{'}$which is formed after rotation.

Vertices of quadrilateral $Q\text{'}R\text{'}S\text{'}T\text{'}$are $Q\text{'}\left(-2,-3\right),R\text{'}\left(-4,3\right)\text{,}S\text{'}\left(-2,5\right)\text{, and}T\text{'}\left(3,2\right)$

- Plot both triangles

On Cartesian plane, plot the points of $QRST$ and join them to form a quadrilateral. Then plot the points of $Q\text{'}R\text{'}S\text{'}T\text{'}$ and join them to form another quadrilateral.