Question

reflect the figure across the x-axis. then decide if each statement about reflected figures is true or false. statement about reflected figures: if two sides are parallel in the original figure, then those sides are parallel in the final figure. 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 are congruent.

Explanation:

Answer:

1. "If two sides are parallel in the original figure, then those sides are parallel in the final figure." - True
2. "The final angle measures are the same as the original angle measures." - True
3. "The final side lengths are shorter than the original side lengths." - False
4. "The original figure and the final figure are congruent." - True

(For the reflection: To sketch the reflection over the x - axis, take each vertex \((x,y)\) of the original figure and plot \((x, - y)\), then connect the vertices. The x - axis is the line of reflection, so points above the x - axis will be below after reflection and vice - versa, while x - coordinates remain the same.)