Math; Distance and Midpoint

Find the midpoint between A and C.

(0.5, 0.5)

Sonja's house is 4 blocks west and 1 block south of the center of town. Her school is 3 blocks East and 2 blocks north of the center of town. What is the direct distance from Sonja's house to her school? (Hint: The center of town should be the origin, and north is up.)

7.6 blocks

midpoint

A point that divides a line segment into two segments of equal length.

The distance between points on a coordinate plane can always be found by subtracting their x- or y- coordinates.

False

You can find the distance between two points on a number line by using the Pythagorean theorem.

False

distance

the number of units between two numbers or points, regardless of direction

Find the distance from A to C.

√74

Find the midpoint between two points on a coordinate plane whose coordinates are (5, 7) and (-3, 1).

(1, 4)

When Erik went to bed one winter night in northern Minnesota, the temperature was-2°F. By the time he got up the next morning, the temperature had dropped to -17°F. Assuming the temperature dropped steadily through the night, what was the temperature in the middle of the night?

-9.5°F

Find the distance between the points with coordinates (5, 7) and (-3, 1). (Graph the points on a coordinate plane, if you need to.)

10

find the midpoint of G and P.

2 ¼

Find the midpoint between two points on a number line if one of the points is at -7, and the other point is at 12.

2.5

Sonja's house is 4 blocks west and 1 block south of the center of town. Her school is 3 blocks east and 2 blocks north of the center of town. Which graph represents this scenario? (Hint: The center of town should be the origin, and north it up.)

Option A.

One way to find the middle is to find the mean, or average.

True

Quantitative information can be placed on a number line or coordinate plane to make it easier to work with.

True

Find the distance from G to S.

√89