Question

what is one possible sequence of transformations that maps △abc onto △def? drag the transformations to order them so that △abc maps onto △def. dilation by a scale factor of \frac{1}{2} with the origin as the center of dilation translation 4 units up translation 3 units right

Explanation:

Step1: Analyze the size change

First, we need to perform a dilation. The side - lengths of \(\triangle ABC\) are larger than those of \(\triangle DEF\). A dilation by a scale factor of \(\frac{1}{2}\) with the origin as the center of dilation will reduce the size of \(\triangle ABC\).

Step2: Analyze the horizontal translation

After dilation, we need to move the figure horizontally. A translation 3 units right will adjust the horizontal position.

Step3: Analyze the vertical translation

Finally, a translation 4 units up will adjust the vertical position to map \(\triangle ABC\) onto \(\triangle DEF\).

Answer:

1. dilation by a scale factor of \(\frac{1}{2}\) with the origin as the center of dilation
2. translation 3 units right
3. translation 4 units up