Question

Choose the image of △ with vertices A(-1, 4) B(3, 5) and C(2, 2 ) under a dilation centered at the origin with a scale factor of -1.5.

Answer 1

Answer:

Option C

Explanation:

The vertices of triangle ABC are A(-1, 4), B(3, 5), and C(2, 2).

If △ is dilated with a scale factor of -1.5 with the center of dilation at the origin, the image points of ABC are:

$\begin{gathered} A\left(-1,4\right)\to-1.5\left(-1,4\right)=A^{\prime}(1.5,-6) \\ B\left(3,5\right)\to-1.5\left(3,5\right)=B^{\prime}(-4.5,-7.5) \\ C\left(2,2\right)\to-1.5\left(2,2\right)=C^{\prime}(-3,-3) \end{gathered}$

Thus, the graph of ABC and its image is shown below:

The correct option is C.