Q27. - Algebra 2

Question

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

27. Graph the pre-image and the image.

Step-by-Step Solution

Answer

Graph of pre-image and image is 

Step 1 - Meaning of pre-image

Pre-image is the quadrilateral in original position 

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

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

Step 3 - 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.