Figure 2 was constructed using figure 1. On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 is in quadrant 1 and

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Figure 2 was constructed using figure 1. On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 is in quadrant 1 and

sits on the x-axis with a point at (0, 0). Parallelogram 2 is in quadrant 4 and sits on the y-axis with a point at (0, 0). Parallelogram 1 is rotated 270 degrees counter-clockwise to form parallelogram 2. For the transformation to be defined as a rotation, which statements must be true? Select three options. The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2). The transformation is rigid. Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2. Segment CP is parallel to segment CP'. If figure 1 is rotated 180° about point C, it will be mapped onto itself.

Mathematics

2 answers:

zzz [12.3K] · Answer 1 · 2026-02-21T11:23:52+03:00

Answer:

"Rotation" refers to the action of turning about a central point: The distance from this center to any part of the shape remains constant. Each point traces out a circular path around the center.

Figure 2 was derived from figure 1. Among all the proposed options, those relevant for the transformation being classified as a rotation are:

A) The line connecting the center of rotation, C, to a point in the original image (figure 1) has the same length as the line connecting the center to the corresponding point in the new image (figure 2).

(B) The transformation maintains rigidity.

(C) Every point in figure 1 rotates through an identical angle around the center of rotation, C, to form figure 2.

(E) If figure 1 undergoes a 360° rotation about point C, it will align with itself.

Thus, options A, B, C, and E are valid.