Question

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

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, $AO = OC$ and $BO=OD$. Here, we focus on the fact that the segments of the diagonals are equal. Since $AO = OC = 15$, and $BO=7 + m$, $OD = 18$, and $BO = OD$ for the figure to be a parallelogram.

Step2: Set up the equation

We set up the equation $7 + m=18$.

Step3: Solve for m

Subtract 7 from both sides of the equation: $m=18 - 7$.
$m = 11$

Answer:

11