+9 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′ ?
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.
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.
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.
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′ .
+128474 Not the first option because reflecting D = (- 1, 1) across the x axis produces (-1,-1) and reflecting this across the y axis produces ( 1, - 1) which isn't D'
Not he second option because rotating D = (-1, 1) 180° about thhhe origin produces ( 1, - 1)....shifting this 4 units too the left produces ( -3, -1) which isn't D'
Third option because
(2, 6) across x ⇒ (2, - 6) ⇒ 90° clockwise ⇒ (-6, -2) = A'
(5, 6) across x ⇒ (5, -6) ⇒ 90° clockwise ⇒ (-6, - 5) = B'
(7, 1) across x ⇒ (7, - 1) ⇒ 90° clockwise ⇒ (-1, -7) = C'
( - 1, 1) across x ⇒ ( -1, - 1) ⇒ 90° clockwise ⇒ (-1, 1) = D'
