Question

select the transformations needed to match the shaded pre - image to the dashed image. you can not use any transformation more than once. the interval for each grid line is 1 unit. pre - image → image (target) history (select a row to review) original position rotate about reference point w

Explanation:

Step1: Analyze the orientation change

The pre - image and the image have different orientations. A rotation is needed to align their orientations.

Step2: Determine the rotation angle

By observing the grid, we can see that a \(90^{\circ}\) rotation (either clockwise or counter - clockwise) about point \(W\) will start to align the shapes.

Step3: Analyze the position change after rotation

After rotation, there is a horizontal and vertical shift. Calculate the horizontal and vertical distances. The horizontal translation: count the number of units moved in the \(x\) - direction. The vertical translation: count the number of units moved in the \(y\) - direction.

Answer:

Rotation (about point \(W\), \(90^{\circ}\)), Horizontal Translation, Vertical Translation