Midpoints, Segment Bisectors, and Distance Formula

Vocabulary flashcards covering midpoints, segment bisectors, the distance formula, and coordinate geometry concepts from the lecture notes.

Midpoint of a Segment

The point that divides a segment into two congruent segments, such that $AM = MB$.

Segment Bisector

A point, ray, line, segment, or plane that intersects a segment at its midpoint.

Midpoint Formula

States that the coordinates of the midpoint of a segment are the averages of the x-coordinate and of the y-coordinate of the endpoints.

Distance Formula

States that if $A(x_1, y_1)$ and $B(x_2, y_2)$ are points in a coordinate plane, the distance between $A$ and $B$ is $AB = \text{vert}^2 + \text{hort}^2$ under a square root, written as $AB = \frac{\text{vert}^2 + \text{hort}^2}{1}$ or $AB = \text{Shor}^2 + \text{Vera}^2$ under square root.

Bisect

To cut or divide a geometric segment into two congruent parts.

Prime Number 109

A prime number identified in the calculations as $\text{prime number}$ under the radical $\text{100+9} = 109$, yielding approximately $10.44$.