R S N L T overline RN cong overline NT and overline NS cong overline LN True or false: Based on this information the quadrilateral must be a parallelogram (1 point) True False Explain how you know using the properties of quadrilaterals (1 point)

1 answer

Based on the given information, the statement "RSNL" overline RN, overline NT, and overline NS cong overline LN is provided.

To determine if the quadrilateral must be a parallelogram, we need to apply the properties of quadrilaterals.

One key property of a parallelogram is that opposite sides are congruent.

In the given statement, we are given that overline RN is congruent to overline NT and overline NS is congruent to overline LN.

This means that opposite sides of the quadrilateral are congruent, which fulfills the property of a parallelogram.

Therefore, based on the given information, it can be concluded that the quadrilateral must be a parallelogram.

Hence, the statement is true.