QUESTION IMAGE
Question
statement about translated figures
the final angle measures are the same as the original angle measures.
the final side lengths are shorter than the original side lengths.
the original figure and the final figure may not be congruent.
if two sides are parallel in the original figure, then those sides may not be parallel in the final figure.
Step1: Recall translation properties
Translation is a rigid - motion transformation. It preserves angle measures, side lengths, and parallelism.
Step2: Analyze first statement
Since translation is a rigid motion, the final angle measures are the same as the original angle measures. So the first statement is True.
Step3: Analyze second statement
Translation does not change side lengths. So the final side lengths are equal to the original side lengths, and the second statement is False.
Step4: Analyze third statement
Since translation preserves side lengths and angle measures, the original figure and the final figure are congruent. So the third statement is False.
Step5: Analyze fourth statement
Translation preserves parallelism. If two sides are parallel in the original figure, they are parallel in the final figure. So the fourth statement is False.
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The final angle measures are the same as the original angle measures: True
The final side lengths are shorter than the original side lengths: False
The original figure and the final figure may not be congruent: False
If two sides are parallel in the original figure, then those sides may not be parallel in the final figure: False