Question

Find x and y so the quadrilateral is a parallelogram.

Answer 1

9514 1404 393

Answer:

• x = 7
• y = 4

Explanation:

The diagonals of a parallelogram cross at their midpoints. This means the segments of each diagonal are equal in length:

RT = PT

x = 5x -28

28 = 4x . . . . . add 28-x

7 = x . . . . . . . .divide by 4

__

QT = ST

5y = 2y +12

3y = 12 . . . . .subtract 2y

y = 4 . . . . . . divide by 3

The values of x and y that make the figure a parallelogram are x=7 and y=4.