Question

which of the following transformations maps abcde onto abcde? translation right 13 units and up 11 units translation right 12 units and up 11 units reflection across the x - axis reflection across the y - axis rotation 90° clockwise around the origin rotation 90° counterclockwise around the origin

Explanation:

Step1: Analyze translation

Translation changes position without flipping or rotating. By observing the x - coordinates of corresponding points, for example, if we take a point on ABCDE and its corresponding point on A'B'C'D'E', the difference in x - coordinates is 12. The difference in y - coordinates is 11.

Step2: Analyze reflection

A reflection across the x - axis would change the sign of the y - coordinates of the points. A reflection across the y - axis would change the sign of the x - coordinates of the points. The orientation of ABCDE and A'B'C'D'E' does not match these reflection patterns.

Step3: Analyze rotation

A 90 - degree clockwise or counter - clockwise rotation around the origin would change the orientation of the figure in a way that does not match the given pre - image and image.

Answer:

translation right 12 units and up 11 units