Question

Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with the transformation that shows it is congruent to ABCD.

Answer 1

Answers a little bit more simplified, all credit to the expert :)

E(4, 4), F(8, 3), G(10, 6) and H(8, 6) <-----> a translation 7 units right

E(3, 4), F(-1, 3), G(-3, 6), and H(-1, 6) <-----> a reflection across the y-axis

E(-3, -1), F(1, -2), G(3, 1), and H(1, 1) <-----> a reflection across the x-axis

E(-3, -1), F(1, -2), G(3, 1) and H(1, 1) <-----> a translation 5 units down

Explanation:

Answer 2

Each transformation will give these following coordinates

Translation 7 units right gives E(4, 4), F(8, 3), G(10, 6), and H(8, 6) as shown in brown in the diagram below

Reflection on the y-axis gives E(3, 4), F(-1, 3), G(-3, 6) and H(-1, 6) as shown in green in the diagram below

Reflection on the x-axis gives E(-3, -4), F(1, -3), G(3, -6) and H(1, -6) as shown in red in the diagram below

Translation 5 units down gives E(-3, -1), F(1, -2, G(3, 1) and H(1, 1) as shown in purple in the diagram below