Quadrilateral ABCD has vertices A(-2, 3), B(0, 4), C(3, 6), and D(1, 1). The vertices of quadrilateral EFGH are E(-2, -3), F(0, -4), G(3, -6), and H(1, -1). Which single transformation of quadrilateral ABCD can be used to show that the two quadrilaterals are congruent?

Respuesta :

Each of the y-coordinates of EFGH is the opposite of the corresponding y-coordinate of ABCD. This represents ...
  a reflection across the x-axis.

Answer with explanation:

It is given that Quadrilateral A B CD has vertices A(-2, 3), B(0, 4), C(3, 6), and D(1, 1) and the vertices of quadrilateral E F G H are E(-2, -3), F(0, -4), G(3, -6), and H(1, -1).

Representing the vertices of parallelogram on two dimensional plane

The Meaning of Congruency is that ,

→ The shape and size of two Quadrilateral does not change.

→Dilation factor=1

→Ratio of corresponding sides are Equal.

→Interior corresponding angles of two Quadrilaterals will be same.

→X axis,is line of Reflection , because Perpendicular distance from each vertices of Quadrilateral ABCD from X axis is same as  Perpendicular distance from each vertices of Quadrilateral EFGH from X axis.

→The two Quadrilateral are mirror images of each other.

Reflection Over X axis has taken place to transform Quadrilateral ABCD to Quadrilateral EFGH.

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