Claudia drew quadrilateral ABCD on a coordinate grid and measured all the side lengths and angle measurements of the quadrilateral. Then, she dilated quadrilateral ABCD by a scale factor of ½, centered at the origin and labeled that quadrilateral WXYZ. Which of the following characteristics must be true about quadrilaterals ABCD and WXYZ? Select all that are true. A
Quadrilaterals ABCD and WXYZ are similar shapes.
B
Quadrilaterals ABCD and WXYZ have the same side lengths.
C
Quadrilaterals ABCD and WXYZ have the same angle measurements.
D
The ratio of the side lengths of quadrilaterals ABCD and WXYZ are the same.
E
Quadrilaterals ABCD and WXYZ have the same orientation.
F
Quadrilaterals ABCD and WXYZ have the same perimeter and area.