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a quadrilateral is shown on the graph: a quadrilateral is shown on the coordinate plane. the vertices are located at 2 comma 2, 3 comma 5, 4 comma 1, and 5 comma 2. what effect will a reflection about the x-axis have on the quadrilateral? be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image.

A reflection about the x-axis will only change the position and

orientation of the quadrilateral.  The new image will have the

same angles and side-lengths as the pre-image, and the two

will be congruent.

Step-by-step explanation:

Reflection against x-axis transform point (x, y) into (x, -y). It doesn't change the side lengths nor the angles of the original figure. Then, the new points will be:

A (2, 2) -> A' (2, -2)

B (3, 5) -> B' (3, -5)

C (4, 1) -> C' (4, -1)

D (5, 2) -> D' (5, -2)

Side congruency:

AB ≅ A'B'

BC ≅ B'C'

CD ≅ C'D'

DA ≅ D'A'

Angle congruency:

∠A ≅ ∠A'

∠B ≅ ∠B'

∠C ≅ ∠C'

∠D ≅ ∠D'

answer:

c. the third graph

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step-by-step explanation: