Question

rotate the figure 180° counterclockwise about the origin. then decide if each statement about rotated figures is true or false.

statement about rotated figures | true | false
--- | --- | ---
if two sides are parallel in the original figure, then those sides may not be parallel in the final figure. | ○ | ○
the final side lengths are the same as the original side lengths. | ○ | ○
the final angle measures are larger than the original angle measures. | ○ | ○
the original figure and the final figure may not be congruent. | ○ | ○

Explanation:

Step1: Recall rotation properties

Rotation is a rigid transformation preserving side lengths, angles, parallelism, and congruence.

Step2: Evaluate each statement

1. Parallel sides remain parallel (False).
2. Side lengths are preserved (True).
3. Angle measures are preserved (False).
4. Rigid transformations keep figures congruent (False).

Answer:

1. False
2. True
3. False
4. False