Question

reflect the figure across the x - axis. then decide if each statement about reflected figures is true or false. statement about reflected figures: the final side lengths are the same as the original side lengths. the final angle measures are the same as the original angle measures. if two sides are parallel in the original figure, then those sides are parallel in the final figure. the original figure and the final figure may not be congruent. true false

Explanation:

Step1: Understand reflection property

Reflection is a rigid - motion. Rigid motions preserve side - lengths and angle - measures.

Step2: Analyze congruence

Since reflection is a rigid motion, the original figure and the final (reflected) figure are always congruent. So the statement "The original figure and the final figure may not be congruent" is False.

Step3: Analyze parallel sides

If two sides are parallel in the original figure, they will be parallel in the final (reflected) figure because reflection is a transformation that preserves orientation of parallel lines. So this statement is True.

Step4: Analyze angle measures

Reflection is a rigid motion, and rigid motions preserve angle measures. So the final angle measures are the same as the original angle measures. This statement is True.

Step5: Analyze side lengths

Reflection is a rigid motion, and rigid motions preserve side lengths. So the final side lengths are the same as the original side lengths. This statement is True.

Answer:

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