RN¯¯¯¯¯¯¯¯ ≅NT¯¯¯¯¯¯¯¯

Question

and NS¯¯¯¯¯¯¯¯≅LN¯¯¯¯¯¯¯¯
.

True or false: Based on this information the quadrilateral must be a parallelogram.

(1 point)
Responses

True

False
Question 2
Explain how you know using the properties of quadrilaterals

Answer 1

False.

Although it is given that RN¯¯¯¯¯¯¯¯ ≅NT¯¯¯¯¯¯¯¯ and NS¯¯¯¯¯¯¯¯≅LN¯¯¯¯¯¯¯¯, we cannot conclude that the quadrilateral must be a parallelogram based on this information alone.

To prove that a quadrilateral is a parallelogram, we need to show that both pairs of opposite sides are parallel. In this case, we only have information about the lengths of certain sides, but nothing about the parallelism of the sides.