Question

look at the rectangles shown in the graph below. which sequence of transformations can map rectangle abcd onto rectangle fgh? a translation of 11 units to the left followed by a translation of 10 units up a translation of 10 units to the right followed by a translation of 11 units down a translation of 11 units to the right followed by a translation of 10 units down a translation of 10 units to the left followed by a translation of 11 units up

Explanation:

Step1: Analyze horizontal movement

To move from rectangle ABCD to rectangle FGH, we observe the change in x - coordinates. For example, if we take a vertex of ABCD and see its corresponding vertex in FGH. The x - coordinate of a point in ABCD needs to increase to match the x - coordinate of the corresponding point in FGH. If we assume a vertex of ABCD has an x - coordinate and a corresponding vertex of FGH has a larger x - coordinate. Counting the grid units, we find that we need to move 11 units to the right.

Step2: Analyze vertical movement

Next, we look at the change in y - coordinates. The y - coordinate of a point in ABCD needs to decrease to match the y - coordinate of the corresponding point in FGH. By counting the grid units, we find that we need to move 10 units down.

Answer:

a translation of 11 units to the right followed by a translation of 10 units down