Question

point e is the midpoint of ab and point f is the midpoint of cd. which statements about the figure must be true? choose three correct answers. cd is bisected by ab. ae = 1/2ab ef = 1/2ed ab is bisected by cd. ce + ef = fd

Explanation:

Step1: Define mid - point property

A mid - point divides a line segment into two equal parts. Since E is mid - point of AB, $AE=\frac{1}{2}AB$.

Step2: Analyze line segment relationships

F is mid - point of CD, so $CF = FD$ and $CE+EF=CF = FD$.

Step3: Check given statements

There is no information to suggest $\overline{CD}$ is bisected by $\overline{AB}$, $\overline{AB}$ is bisected by $\overline{CD}$, or $EF=\frac{1}{2}ED$.

Answer:

$AE=\frac{1}{2}AB$, $CE + EF=FD$