Question

use the image to answer the question.
to prove that quadrilateral ( a b c d ) is a parallelogram, what must be the value of ( m )?
(1 point)
( 11 )
( 18 )
( 15 )
( 36 )

Explanation:

Step1: Recall the property of a parallelogram's diagonals

In a parallelogram, the diagonals bisect each other. So, \(BO = OD\).

Step2: Set up the equation

Given \(BO=7 + m\) and \(OD = 18\). Then \(7 + m=18\).

Step3: Solve for \(m\)

Subtract \(7\) from both sides of the equation: \(m=18 - 7\). So, \(m = 11\).

Answer:

11