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QUESTION IMAGE

graphing prove these shapes are congruent using a sequence of transform…

Question

graphing
prove these shapes are congruent using a sequence
of transformations. write and draw the
transformations. be specific.

Explanation:

Step1: Reflect the shape

Reflect the shape \(RSTQ\) over the \(x -\)axis.

Step2: Translate the shape

Translate the reflected shape \(7\) units to the left.

Answer:

By first reflecting the trapezoid \(RSTQ\) over the \(x -\)axis and then translating it \(7\) units to the left, we can map \(RSTQ\) onto \(R'S'T'Q'\), proving they are congruent.