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Proving a uadrilateral is a Parallelogram

Assignment Active

Determining Side Lengths in a Parallelogram

In quadrilateral ABCD, AD 1, BC.

3x+7

D

A

B

5x-9

What must the length of segment AD be for the

quadrilateral to be a parallelogram?

O 8 units

O 16 units

O 31 units

O 62 units

Ithink the answer is b

just needed some points but try socratic

31 units

Step-by-step explanation:

If a quadrilateral has a pair of sides that is both parallel and congruent, then the quadrilateral is a parallelogram.

Sides AD and BC are given as parallel.

If they are also congruent, then quadrilateral ABCD is a parallelogram.

3x + 7 = 5x - 9

-2x = -16

x = 8

AD = 3x + 7

AD = 3(8) + 7

AD = 31

31 units

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