The coordinates of the endpoints of and are A(3, 6), B(8, 7), C(3, 3), and D(8, 4). Which statement describes how and are relate

Question

16 days ago

8

d?
a)AB//CD
b)AB//CD, and AB bisects CD
c)AB//CD, but AB does not bisect CD
d)AB is neither parallel nor perpendicular to CD

2 answers:

zzz [11.7K] · Answer 1 · 2026-03-23T22:11:48+03:00

5 0

B) AB // CD, and AB bisects CD

lawyer [12K] · Answer 2 · 2026-03-23T22:13:11+03:00

Answer:

The right choice is option a.

Step-by-step explanation:

To find the slope of a line that goes through two points, the formula is

$m=\frac{y_2-y_1}{x_2-x_1}$

The endpoints of the lines are A(3, 6), B(8, 7), C(3, 3), and D(8, 4).

$m_{AB}=\frac{7-6}{8-3}=\frac{1}{5}$

$m_{CD}=\frac{4-3}{8-3}=\frac{1}{5}$

Because the slopes for AB and CD are identical, it confirms that line AB is parallel to CD, as parallel line slopes match.

Since parallel lines do not cross, AB does not meet CD. Thus, only option a is valid.