The coordinates of the vertices of trapezoid abcd are a (2,6), b (5,6), c (7,1), and d (-1,1). the coordinates of the vertices of trapezoid a'b'c'd' are a' (-6, -2),b' (-6, -5), c' (-1, -7), and d' (-1, 1). which statement correctly describes the relationship between trapezoid abcd and trapezoid a'b'c'd' ? a. trapezoid abcd ≅ trapezoid a'b'c'd' you can reflect trapezoid abcd across the x-axis and then across the y-axis. b. trapezoid abcd ≅ trapezoid a'b'c'd' you can rotate trapezoid abcd 180°about the origin and then translating it 4 units left. c. trapezoid abcd ≅ trapezoid a'b'c'd' you can reflect trapezoid abcd across the x-axis and then rotating it 90°clockwise.

C. Trapezoid ABCD ≅ trapezoid A'B'C'D'

You can reflect trapezoid ABCD across the x-axis and then rotating it 90°clockwise.

Step-by-step explanation:

Given : The coordinates of the vertices of trapezoid ABCD are A (2,6), B (5,6), C (7,1), and D (-1,1). The coordinates of the vertices of trapezoid A'B'C'D' are A' (-6, -2),B' (-6, -5), C' (-1, -7), and D' (-1, 1).

To find : Which statement correctly describes the relationship between trapezoid ABCD and trapezoid A'B'C'D'.

Solution : We have given that  trapezoid ABCD.

Parent coordinates of A (2,6), B (5,6), C (7,1), and D (-1,1)

Translated coordinates A' (-6, -2),B' (-6, -5), C' (-1, -7), and D' (-1, 1).

By reflection rule :  Reflection across x axis (x , y) →→( x , -y) and  rotating it 90°clockwise  (x , y) →→( -y, x).

Therefore, C. Trapezoid ABCD ≅ trapezoid A'B'C'D'

You can reflect trapezoid ABCD across the x-axis and then rotating it 90°clockwise.