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) 36 15 18 11

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, $AO = OC$ and $BO=OD$.

Step2: Set up equation for $BO$ and $OD$

We know that $BO = 7 + m$ and $OD=18$. Since $BO = OD$ in parallelogram $ABCD$, we set up the equation $7 + m=18$.

Step3: Solve for $m$

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

Answer:

$m = 11$