Question

Which series of transformations would map quadrilateral ABCD onto quadrilateral EFGH? (Select all that apply)

A. Reflection over the x-axis, translation right 2 and up 1
B. Rotated 180 degrees, translation up 2
C. Reflect over the x-axis, reflect over the y-axis, translation up 2
D. Rotate 90 degrees clockwise, translation right 2 and down 3

Answer 1

The series of transformations that would map quadrilateral ABCD onto quadrilateral EFGH are reflection over the x-axis, reflection over the y-axis, translation up 2 units, and translation right 2 units.

Step-by-step explanation:

The series of transformations that would map quadrilateral ABCD onto quadrilateral EFGH are:

1. Reflection over the x-axis: This transformation will flip the quadrilateral over the x-axis, changing the position of the vertices in the y-direction.
2. Reflection over the y-axis: This transformation will flip the quadrilateral over the y-axis, changing the position of the vertices in the x-direction.
3. Translation up 2 units: This transformation will move the quadrilateral upwards by 2 units.
4. Translation right 2 units: This transformation will move the quadrilateral to the right by 2 units.

Combining these transformations will result in a mapping from quadrilateral ABCD to quadrilateral EFGH.