Chapter 9.3, Problem 14PPS

To determine

To graph: The triangle and its image after given rotation about the origin.

Answer to Problem 14PPS

The triangle and its image after a rotation is shown in Figure (1).

Explanation of Solution

The vertices of the triangle are $J\left(2,6\right),K\left(5,2\right)\text{and}L\left(7,5\right)$ .

The coordinates of the new triangle after rotating by $90°$ is found by multiplying the y coordinate of the vertices by $-1$ and interchange.

The new coordinates are $J^{\prime }\left(-6,2\right),K^{\prime }\left(-2,5\right)\text{and}{L}^{\prime }\left(-5,7\right)$ .

The graph of the triangles is shown below.

  

Figure (1)

Therefore, the triangle and its image after a rotation is shown in Figure (1).