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.