Which transformations could be used to show that WXYZ is congruent to W’X’Y’Z’?
Choose all possible transformations.
A. Rotate WXYZ 90° clockwise about the origin.
B. Rotate WXYZ 90° counterclockwise about the origin.
C. Rotate WXYZ 180° about the point (4, 0).
D. Rotate WXYZ 270° clockwise about the origin.
E. Rotate WXYZ 270° counterclockwise about the origin.
To determine which transformations could show that WXYZ is congruent to W’X’Y’Z’, we need to consider how rotation affects the position of a shape. In this case, we are analyzing rotations and their effectiveness in establishing congruence.
1. A. Rotate WXYZ 90° clockwise about the origin. – This transformation is a valid rotation, but whether it leads to W’X’Y’Z’ would depend on the specifics of the figures’ positions. Without knowing the coordinates, we can’t definitively say this is correct.
2. B. Rotate WXYZ 90° counterclockwise about the origin. – Similar to option A, this may be a valid transformation but again depends on the positions.
3. C. Rotate WXYZ 180° about the point (4, 0). – This could be a valid transformation if the respective points align after this rotation.
4. D. Rotate WXYZ 270° clockwise about the origin. – This is just a different way of saying a 90° counterclockwise rotation; it could also lead to congruence depending on the placements.
5. E. Rotate WXYZ 270° counterclockwise about the origin. – This is effectively a 90° clockwise rotation and similar to option A.
Since the actual congruence can’t be established without the specific coordinates or shape information, the best general transformations that maintain congruence through