Question

in the coordinate plane below, each grid line represents 50 feet.
each figure represents a pasture.

are the figures congruent? use rigid motions to justify your answer in 2-3 sentences.

Explanation:

The two figures are congruent because rigid motions can map one to the other. First, reflect the blue figure over the x-axis to flip its vertical orientation. Then, translate the reflected blue figure 4 units to the right to align it perfectly with the red figure; these rigid motions preserve size and shape, proving congruence.

Answer:

Yes, the figures are congruent. Reflecting the blue figure over the x-axis and then translating it 4 units right maps it exactly to the red figure, and rigid motions (reflection and translation) do not change the size or shape of a figure, confirming congruence.