Question

look at the diagram and evaluate. which of the statements below is true? answer de = ef ce > cf e is the midpoint of df cd > ef

Explanation:

Step1: Find lengths of line - segments

$D$ is at $17$, $E$ is at $20$, $F$ is at $21$, $C$ is at $13$.
$DE=20 - 17=3$, $EF=21 - 20 = 1$, $CE=20 - 13=7$, $CF=21 - 13 = 8$, $CD=17 - 13=4$.

Step2: Evaluate each option

• Option 1: $DE = 3$ and $EF = 1$, so $DE

eq EF$.

• Option 2: $CE = 7$ and $CF = 8$, so $CE
• Option 3: $DF=21 - 17 = 4$, mid - point of $DF$ should be at $17+\frac{4}{2}=19$, but $E$ is at $20$, so $E$ is not the mid - point of $\overline{DF}$.
• Option 4: $CD = 4$ and $EF = 1$, so $CD>EF$.

Answer:

CD > EF