Which statement correctly describes the relationship between quadrilateral ABCD and quadrilateral A′B′C′D′ ? An x y coordinate plane is shown. In quadrant 1 quadrilateral A B C D has vertices at begin ordered pair 1 comma 2 end ordered pair, begin ordered pair 2 comma 1 end ordered pair, begin ordered pair 6 comma 1 end ordered pair and begin ordered pair 6 comma 3 end ordered pair, respectively. In quadrant 2 quadrilateral A prime B prime C prime D prime has vertices at begin ordered pair negative 6 comma 2 end ordered pair, begin ordered pair negative 5 comma 1 end ordered pair, begin ordered pair negative 1 comma 1 end ordered pair and begin ordered pair negative 1 comma 3 end ordered pair, respectively. ​ Quadrilateral ABCD ​ is not congruent to ​ quadrilateral A′B′C′D′ ​ because there is no sequence of rigid motions that maps ​ quadrilateral ABCD ​ to ​ quadrilateral A′B′C′D′ ​. ​ Quadrilateral ABCD ​ is congruent to ​ quadrilateral A′B′C′D′ ​ because you can map ​ quadrilateral ABCD ​ to ​ quadrilateral A′B′C′D′ ​ using a reflection across the y-axis, which is a rigid motion. ​ Quadrilateral ABCD ​ is congruent to ​ quadrilateral A′B′C′D′ ​ because you can map ​ quadrilateral ABCD ​ to ​ quadrilateral A′B′C′D′ ​ using a translation 7 units to the left, which is a rigid motion. ​ Quadrilateral ABCD ​ is congruent to ​ quadrilateral A′B′C′D′ ​ because you can map ​ quadrilateral ABCD ​ to ​ quadrilateral A′B′C′D′ ​ using a translation 7 units to the right, which is a rigid motion.

Respuesta :

The answer is; "Quadrilateral ABCD ​ is congruent to ​ quadrilateral A′B′C′D′ ​ because you can map ​ quadrilateral ABCD ​ to ​ quadrilateral A′B′C′D′ ​ using a translation 7 units to the right, which is a rigid motion."

The statement third "Quadrilateral ABCD is congruent to quadrilateral A'B'C'D' because you can map Quadrilateral ABCD to Quadrilateral A'B'C'D' using a translation 7 units to left, which is a rigid motion" is correct.

What is quadrilateral?

It is defined as the four-sided polygon in geometry having four edges and four corners. Two pairs of congruent sides and it has one pair of opposite congruent angles.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a quadrilateral ABCD and quadrilateral A′B′C′D′

The coordinates of quadrilateral ABCD:

A(1,2), B(2,1), C(6,1) and D(6,3)

The coordinates of quadrilateral A'B'C'D':

A(-6,2), B(-5,1), C(-1,1) and D(-1,3)

The transformation rule:

(x,y) → (x-7, y)

Thus, the statement third "Quadrilateral ABCD is congruent to quadrilateral A'B'C'D' because you can map Quadrilateral ABCD to Quadrilateral A'B'C'D' using a translation 7 units to left, which is a rigid motion" is correct.

Learn more about the quadrilateral here:

brainly.com/question/6321910

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