Question

select all the true statements.
a. the length of $overline{ab}$ is -3.
b. $bc = |6-1|$
c. $ab+ac = bc$
d. $ab+bc = ac$
e. the length of $overline{bc}$ is 6.

Explanation:

Step1: Identify point coordinates

$A=-2$, $B=1$, $C=6$

Step2: Evaluate Option A

Length can't be negative. $\overline{AB}=|1-(-2)|=3$. A is false.

Step3: Evaluate Option B

$BC=|6-1|=|6-1|$. B is true.

Step4: Evaluate Option C

$AB=3$, $AC=|6-(-2)|=8$, $BC=5$. $3+8=11≠5$. C is false.

Step5: Evaluate Option D

$AB=3$, $BC=5$, $AC=8$. $3+5=8$. D is true.

Step6: Evaluate Option E

$BC=|6-1|=5≠6$. E is false.

Answer:

B. $BC = |6-1|$
D. $AB+BC = AC$