Question

reflect the figure across the x - axis. then decide if each statement about reflected figures is true or false. statement about reflected figures true false the final angle measures are larger than the original angle measures. if two sides are parallel in the original figure, then those sides are parallel in the final figure. the final side lengths are the same as the original side lengths. the original figure and the final figure are congruent.

Explanation:

Step1: Recall reflection properties

A reflection is a rigid - motion transformation. Rigid - motion transformations preserve angle measures, side lengths, and parallelism.

Step2: Analyze first statement

Since reflections preserve angle measures, the final angle measures are equal to the original angle measures. So, the statement "The final angle measures are larger than the original angle measures" is false.

Step3: Analyze second statement

Parallelism is preserved under reflection. So, if two sides are parallel in the original figure, those sides are parallel in the final figure. This statement is true.

Step4: Analyze third statement

Side lengths are preserved in a reflection. So, the final side lengths are the same as the original side lengths. This statement is true.

Step5: Analyze fourth statement

Since a reflection is a rigid - motion transformation and rigid - motion transformations produce congruent figures, the original figure and the final figure are congruent. This statement is true.

Answer:

False
True
True
True