Question

translate the figure 7 units down. then decide if each statement about translated figures is true or false. statement about translated 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: Properties of translation

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

Step2: Analyze each statement

• Statement 1:

Since translation is a rigid transformation, angle measures are preserved. So, the statement "The final angle measures are larger than the original angle measures" is false.

• Statement 2:

Parallelism is preserved under translation. If two sides are parallel in the original figure, they are parallel in the translated (final) figure. So, the statement "If two sides are parallel in the original figure, then those sides are parallel in the final figure" is true.

• Statement 3:

Side - lengths are preserved under translation. So, the statement "The final side lengths are the same as the original side lengths" is true.

• Statement 4:

Since translation preserves angle measures and side - lengths (all corresponding parts are equal), the original figure and the translated (final) figure are congruent. So, the statement "The original figure and the final figure are congruent" is true.

Answer:

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