Question

vocabulary and core concept check

1. vocabulary if a point, ray, line, line - segment, or plane intersects a segment at its mid - point, then what does it do to the segment?
2. complete the sentence to find the length of $overline{ab}$, with endpoints $a(-7,5)$ and $b(4, - 6)$, you can use the __________.

Explanation:

1. When a point, ray, line, line - segment, or plane intersects a segment at its mid - point, it bisects the segment. This is the definition of bisection in geometry.
2. To find the length of a line segment $\overline{AB}$ with endpoints $A(x_1,y_1)$ and $B(x_2,y_2)$, the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ is used. So the answer is distance formula.

Answer:

1. It bisects the segment.
2. distance formula