Question

Trapezoid ABCD is congruent to trapezoid A"B"C"D" .

Which sequence of transformations could have been used to transform trapezoid ABCD to produce ​ trapezoid A"B"C"D" ​ ? ​

A. Trapezoid ABCD ​ was reflected across the y-axis and then across the x-axis. ​

B. Trapezoid ABCD ​ was reflected across the y-axis and then translated 7 units up. ​

C. Trapezoid ABCD ​ was translated 7 units up and then 12 units left. ​

D. Trapezoid ABCD ​ was reflected across the x-axis and then across the y-axis.

Answer 1

It's C the Answer is C Trapezoid ABCD ​ was reflected across the y-axis and then translated 7 units up.

Answer 2

The transformation statement is (D). Trapezoid ABCD ​ was reflected across the x-axis and then across the y-axis.

How to determine the transformation statement?

From the figure we have the following highlights:

• Trapezoid ABCD and A"B"C"D" are equidistant from the x-axis
• Trapezoid ABCD and A"B"C"D" are equidistant from the y-axis

These mean that any of the trapezoids can be reflected across the x and y axes to match the other trapezoid

Hence, the true statement is (d)

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