Question

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 is not congruent to trapezoid A′B′C′D′ because there is no sequence of rigid motions that maps trapezoid ABCD to trapezoid A′B′C′D′ .

b) Trapezoid ABCD is congruent to trapezoid A′B′C′D′ because you can map trapezoid ABCD to trapezoid A′B′C′D′ by reflecting it across the x-axis and then across the y-axis, which is a sequence of rigid motions.

c) Trapezoid ABCD is congruent to trapezoid A′B′C′D′ because you can map trapezoid ABCD to trapezoid A′B′C′D′ by reflecting it across the x-axis and then rotating it 90° clockwise, which is a sequence of rigid motions.


d) Trapezoid ABCD is congruent to trapezoid A′B′C′D′ because you can map trapezoid ABCD to trapezoid A′B′C′D′ by rotating it 180° about the origin and then translating it 4 units left, which is a sequence of rigid motions.

Answer 1

Answer:

I think it is D but i could be wrong

Step-by-step explanation: