Question

Which shows the most likely side lengths for a parallelogram

A.9,4,9,9
B.9,9,9,4
C.4,4,4,9
D.4,9,9,4

Answer 1

The correct option is (D).

Explanation:

A quadrilateral is a parallelogram if the following conditions are met:

• If two pairs of opposites are equal in length.
• If two opposite sides are parallel to each other and are equal.
• If the diagonals bisect each other in equal halves.

So, for a parallelogram the opposite sides are equivalent in length.

From the provided length of 4 sides of a quadrilateral, consider the sides provided by option D.

4, 9, 9, 4

Two sides are of length 4 units and two of 9 units.

According to condition 1, the sides {4, 9, 9, 4} can form a parallelogram.

Thus, the correct option is (D).