Question

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

Answer 1

Case 1: A translation 7 units right

`A\mleft(-3,4\mright)B\mleft(1,3\mright)C\mleft(3,6\mright)D\mleft(1,6\mright)\rightarrow E(4,4)F(8,3)G(10,6)H(8,6)`

Case 2: A reflection across the y-axis

`A(-3,4)B(1,3)C(3,6)D(1,6)\rightarrow E(3,4)F(-1,3)G(-3,6)H(-1,6)`

Case 3: A reflection across the x-axis

`A(-3,4)B(1,3)C(3,6)D(1,6)\rightarrow E(-3,-4)F(1,-3)G(3,-6)H(1,-6)`

Case 4: A translation 5 units down.

`A(-3,4)B(1,3)C(3,6)D(1,6)\rightarrow E(-3,-1)F(1,-2)G(3,1)F(1,1)`