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Find values of x and y for which ABCD must be a parallelogram. The diagram is not drawn to scale.


choices are;

Ax = 10; y = 38
Bx = 10; y = 21
Cx = 10; y = 7
Dx = 7; y = 10

Find values of x and y for which ABCD must be a parallelogram. The diagram is not drawn to scale. choices are; A. x = 10; y = 38 B. x = 10; y = 21 C. x = 10; y class=

Verified Answer :

with any parallelogarm, the diagonal bisect each other, so basically, the diagonals cut each other in half

so, this means
4y - 7 = y + 14

and

4x -2  = x + 28

hope this helps

Answer:

The correct option is C.

Step-by-step explanation:

The diagonals of a parallelogram bisect each other.

The intersection point of both diagonals divides the diagonal AC in two equal parts.

\(4x-2=x+28\)

\(4x-x=2+28\)

\(3x=30\)

\(x=10\)

The value of x is 10.

The intersection point of both diagonals divides the diagonal BD in two equal parts.

\(4y-7=y+14\)

\(4y-y=7+14\)

\(3y=21\)

\(y=7\)

The value of y is 7.

Therefore the correct option is C.

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