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 15 18 30

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, $AO = OC$ and $BO=OD$. Here, we use the fact that $BO = OD$.

Step2: Set up the equation

Since $BO = OD$, we have $7 + m=18$.

Step3: Solve for m

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

Answer:

11