Question

If SU=b+18 and SW=4b, find the value of b that makes quadrilateral TUVW a parallelogram.WVUTSb=Submit

Answer 1

If we want to make quadrilateral TUVW a parallelogram, we need to set the next equality SU= SW.

This is given because diagonals on a parallelogram bisect each other.

Now, we need to replace:

SU= SW.

b + 18 = 4b

Solve for b:

18 = 4b - b

18 = 3b

6 =b

Hence, the correct answer is b=6.