Question

15 consider the congruent trapezoids. a describe the transformation that maps trapezoid abcd to trapezoid qrst. b using the trapezoids shown, write a trapezoid congruence statement. abcd≅qrst

Explanation:

Step1: Observe point - to - point mapping

By observing the coordinates of corresponding vertices, we can see that each point of trapezoid ABCD is reflected across the x - axis to get trapezoid QRST. For example, point A is above the x - axis and its corresponding point Q is below the x - axis at the same x - coordinate.

Step2: Write congruence statement

Since the trapezoids are congruent and we match the vertices in order, the congruence statement is $\text{ABCD}\cong\text{QRST}$ as already written.

Answer:

a. Reflection across the x - axis.
b. $\text{ABCD}\cong\text{QRST}$