Midpoint Formula

Front

What is the Midpoint Formula?

Back

The Midpoint Formula is used to find the midpoint (M) between two points (x1, y1) and (x2, y2) in a coordinate plane. It is given by: M = ((x1 + x2)/2, (y1 + y2)/2).

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint of the points (4, -1) and (2, -7).

Back

(3, -4)

Tags

CCSS.HSG.GPE.B.6

Front

What is the midpoint of the line segment connecting (8, -9) and (0, 5)?

Back

(4, -2)

Tags

CCSS.HSG.GPE.B.6

Front

Calculate the midpoint of the points (3, -1) and (8, -6).

Back

(5.5, -3.5)

Tags

CCSS.HSG.GPE.B.6

Front

If the points are (x1, y1) and (x2, y2), how do you calculate the x-coordinate of the midpoint?

Back

The x-coordinate of the midpoint is calculated as (x1 + x2)/2.

Tags

CCSS.HSG.GPE.B.6

Front

If the points are (x1, y1) and (x2, y2), how do you calculate the y-coordinate of the midpoint?

Back

The y-coordinate of the midpoint is calculated as (y1 + y2)/2.

Tags

CCSS.HSG.GPE.B.6

Front

What is the significance of the midpoint in geometry?

Back

The midpoint is significant as it represents the exact center point of a line segment, dividing it into two equal parts.

Tags

CCSS.HSG.GPE.B.6

Front

How do you find the midpoint of a horizontal line segment?

Back

For a horizontal line segment, the y-coordinates are the same, so the midpoint is found by averaging the x-coordinates.

Tags

CCSS.HSG.GPE.B.6

Front

How do you find the midpoint of a vertical line segment?

Back

For a vertical line segment, the x-coordinates are the same, so the midpoint is found by averaging the y-coordinates.

Tags

CCSS.HSG.GPE.B.6

Front

What is the midpoint of the points (-1, 3) and (3, 4)?

Back

(1, 3.5)

Tags

CCSS.HSG.GPE.B.6