Question

Please help me! Find the value of X&Y for which ABCD must be a parallelogram!

Answer 1

• x = 8
• y = 6

Explanation:

You want the values of x and y that make the quadrilateral a parallelogram, given the halves of one diagonal are marked (3x-14) and (x+2), and the halves of the other diagonal are marked (4y-7) and (y+11).

Parallelogram

The diagonals of a parallelogram bisect each other. This means the marked segments on each diagonal are congruent.

x-value

(3x -14) = (x +2)

2x = 16 . . . . . . . . . add 14-x

x = 8 . . . . . . . . divide by 2

y-value

(4y -7) = (y +11)

3y = 18 . . . . . . . . . add 7-y

y = 6 . . . . . . . . divide by 3

The values of x and y are 8 and 6, respectively.