Question

1. consider the two figures shown. just as with translations, one way to verify that two figures congruent is to show that a reflection moves all the points of one figure onto all the points of the other figure.

Explanation:

Step1: Identify the line of reflection

The line of reflection is the x - axis. We can observe the vertical distance of each point of the upper figure from the x - axis is the same as the vertical distance of the corresponding point of the lower figure from the x - axis.

Step2: Check point - by - point

For point J of the upper figure, its y - coordinate is positive. For the corresponding point J' of the lower figure, its x - coordinate is the same as J and its y - coordinate is the negative of J's y - coordinate. Similarly, for point K, L and M of the upper figure, the corresponding points K', L' and M' of the lower figure have the same x - coordinates and negative y - coordinates compared to the original points.

Answer:

The two figures are congruent and can be mapped onto each other by a reflection over the x - axis.