Question

drag the transformations to arrange them in the order they are applied to △def to obtain △def. keyboard help translation up 2 units dilation by a factor of 2 about the origin rotation 90° counterclockwise about the origin

Explanation:

Step1: Analyze transformation effects

First, rotation changes orientation. A rotation of 90° counter - clockwise about the origin changes the orientation of the triangle.

Step2: Consider dilation impact

Dilation changes the size. After rotation, dilating by a factor of 2 about the origin changes the size of the rotated triangle.

Step3: Think about translation

Translation moves the figure without changing size or orientation. After rotation and dilation, a translation up 2 units moves the dilated and rotated triangle to its final position.

Answer:

1. rotation 90° counterclockwise about the origin
2. dilation by a factor of 2 about the origin
3. translation up 2 units