Question

Triangle EFG is rotated -90 degrees (clockwise) to create Triangle XYZ. which of the following statements must be true?
A. EG=XY
B. angle e = angle x
C. angle f =equals angle z
D. EF = XZ

Answer 1

When Triangle EFG is rotated -90 degrees (clockwise) to create Triangle XYZ, the following properties hold true for the triangles:

1. The corresponding sides of the triangles are equal in length.
2. The corresponding angles of the triangles are equal in measure.

From those properties, we can analyze each of the given statements:

A. **EG = XY** - True. The sides of the triangles remain the same length after rotation.

B. **angle e = angle x** - True. The angles of the triangles are preserved during rotation.

C. **angle f = angle z** - True. As with angle e and angle x, the measure of the angles is preserved.

D. **EF = XZ** - True. The lengths of the corresponding sides remain unchanged after rotation.

Therefore, all of the statements A, B, C, and D must be true following the rotation.