Question

find the distance between the pair of points. round to the nearest 10th. (2,0) and (-2,5)
your answer
what is a midpoint? *
your answer
what does a bisector do? *
your answer

Explanation:

Step1: Identify distance - formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 2,y_1 = 0,x_2=-2,y_2 = 5$.

Step2: Substitute values

$d=\sqrt{(-2 - 2)^2+(5 - 0)^2}=\sqrt{(-4)^2+5^2}=\sqrt{16 + 25}=\sqrt{41}$.

Step3: Calculate and round

$\sqrt{41}\approx6.4$

Mid - point answer

A mid - point of a line segment with endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is the point that divides the segment into two equal parts. The mid - point formula is $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Bisector answer

A bisector is a line, ray, or segment that divides a geometric figure (such as an angle or a line segment) into two equal parts. For an angle, it divides the angle into two congruent angles. For a line segment, it divides the segment into two segments of equal length.

Answer:

Distance: 6.4
Mid - point: A point that divides a line segment into two equal parts with formula $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$
Bisector: A line/ray/segment that divides a geometric figure into two equal parts.