Question

problem 5 which transformation will move the pre - image onto the image? translating right and then up. rotating 180°. dilating by a scale factor of 4. reflecting across a horizontal line.

Explanation:

Step1: Analyze reflection

Reflection across a horizontal line would flip the shape over a horizontal axis, changing its orientation vertically. This is not the case here as the orientation is the same in pre - image and image.

Step2: Analyze dilation

Dilation by a scale factor of 4 would change the size of the shape. Since the pre - image and image have the same size, this is not the transformation.

Step3: Analyze rotation

A 180° rotation would turn the shape around a point by half - a - circle, changing its orientation completely. This is not the case here.

Step4: Analyze translation

Translation means moving the shape without changing its size, shape or orientation. Translating right and then up can move the pre - image onto the image as shown.

Answer:

Translating right and then up.