Question

darius transformed figure tuvw to form its image tuvw two times. he used two different transformations. identify the single transformation he used to map figure tuvw onto figure tuvw in each graph.

Explanation:

Step1: Analyze the first - graph transformation

Observe the relative positions of vertices of figure TUVW and T'U'V'W'. In the first graph, the x - coordinates of the vertices of the image are the same as those of the pre - image, while the y - coordinates are negated. This is a reflection over the x - axis. The rule for a reflection over the x - axis is (x,y)→(x, - y).

Step2: Analyze the second - graph transformation

In the second graph, the y - coordinates of the vertices of the image are the same as those of the pre - image, while the x - coordinates are negated. This is a reflection over the y - axis. The rule for a reflection over the y - axis is (x,y)→( - x,y).

Answer:

In the first graph, the transformation is a reflection over the x - axis. In the second graph, the transformation is a reflection over the y - axis.