Question

16
select the correct answer from each drop - down menu.
complete the statements about the images on the graph.
a sequence of transformations that proves congruence between shape i and shape ii by mapping shape i onto shape ii is a reflection across the y - axis, followed by a, and then a translation 1 unit down.
alternatively, a sequen shape ii and shape i by mapping shape ii onto shape i is a reflection of shape ii a, and then a translation 1 unit left.

Explanation:

Step1: Analyze the first blank

After reflecting shape I across the \(y -\)axis, we need to rotate it. A \(90 -\)degree clockwise rotation about the origin will align it in the correct orientation before the translation.

Step2: Analyze the second blank

For mapping shape II onto shape I, after reflecting shape II across the \(x -\)axis (to flip it vertically), we need to rotate it. A \(90 -\)degree counterclockwise rotation about the origin will align it in the correct orientation before the translation.

Answer:

First blank: \(90 -\)degree clockwise rotation about the origin; Second blank: \(90 -\)degree counterclockwise rotation about the origin.