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

Quadrilateral ABCD have vertices A34 B13 C36 D16 Match each set of vertices of quadrilateral EFGH with the transformation that shows it is congruent to ABCD class=

Respuesta :

Case 1: A translation 7 units right

[tex]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)[/tex]

Case 2: A reflection across the y-axis

[tex]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)[/tex]

Case 3: A reflection across the x-axis

[tex]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)[/tex]

Case 4: A translation 5 units down.

[tex]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)[/tex]