Question

midpoints
use the number line to calculate each item:

1. midpoint of $overline{ab}=$

calculate the midpoint of each segment with the given endpoints:

1. a(9, 5) and b(17, 4)
2. e(-11, -4) and f(-9, -2)

point m is the midpoint of $overline{ac}$, find the coordinates of the missing endpoint when you are given one endpoint and the coordinates of the midpoint.

1. m(0, 5.5) and c(-3, 6)
2. m(-2, 2) and a(2, 8)

review:
point a is between points m and c. if mc = 7x, am = 2x + 8, and ac = 3x+6, find the measure of each segment.
a. name the intersection of planes a and b:
b. name 4 coplanar points:
c. name 3 collinear points:
d. name 3 non - collinear points:
e. name 4 non - coplanar points:

1. midpoint of $overline{ad}=$
2. c(8, 4) and d(12, 2)
3. a(4, 2) and b(8, -6)
4. m(-1, 5) and a(-4, 3)
5. m(4, 1) and a(5, -1)

Explanation:

Step1: Identify A and B coordinates

A(-4), B(-1)

Step2: Apply midpoint formula

$\frac{-4 + (-1)}{2} = -2.5$

Step1: Identify A and D coordinates

A(-4), D(2)

Step2: Apply midpoint formula

$\frac{-4 + 2}{2} = -1$

Step1: Use midpoint formula for x

$\frac{9 + 17}{2} = 13$

Step2: Use midpoint formula for y

$\frac{5 + 4}{2} = 4.5$

Step1: Calculate x-coordinate

$\frac{8 + 12}{2} = 10$

Step2: Calculate y-coordinate

$\frac{4 + 2}{2} = 3$

Answer:

-2.5