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.

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel