Question

translate the figure 9 units up. then decide if each statement about translated figures is true or false. statement about translated figures true false the final side lengths are shorter than the original side lengths. the final angle measures are larger than the original angle measures. the original figure and the final figure are congruent. if two sides are parallel in the original figure, then those sides may not be parallel in the final figure.

Explanation:

Step1: Properties of translation

Translation is a rigid transformation. It moves a figure without resizing or rotating it.

Step2: Analyze side - length statement

Since translation is a rigid transformation, side lengths remain the same. So, "The final side lengths are shorter than the original side lengths" is false.

Step3: Analyze angle - measure statement

Translation does not change the shape of the figure, so angle measures remain the same. Thus, "The final angle measures are larger than the original angle measures" is false.

Step4: Analyze congruence statement

A rigid transformation (translation) preserves side lengths and angle measures. So, the original and translated figures are congruent. "The original figure and the final figure are congruent" is true.

Step5: Analyze parallel - sides statement

Translation preserves the orientation of the figure. If two sides are parallel in the original, they remain parallel in the translated figure. So, "If two sides are parallel in the original figure, then those sides may not be parallel in the final figure" is false.

Answer:

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