Midpoint Formula

Front

What is the midpoint formula for finding the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Tags

CCSS.HSG.GPE.B.6

Front

Given the endpoints (6, -6) and (-10, -10), what is the x-coordinate of the midpoint?

Back

-2

Tags

CCSS.HSG.GPE.B.6

Front

What is the definition of a midpoint in geometry?

Back

The midpoint is the point that divides a line segment into two equal parts.

Tags

CCSS.HSG.GPE.B.6

Front

Calculate the midpoint of the endpoints (2, -7) and (10, 1).

Back

(6, -3)

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint of the line segment with endpoints (1, 1) and (9, 9).

Back

(5, 5)

Tags

CCSS.HSG.GPE.B.6

Front

What is the y-coordinate of the midpoint of the line segment with endpoints (4, 2) and (8, 6)?

Back

4

Tags

CCSS.HSG.GPE.B.6

Front

If the endpoints of a line segment are (x1, y1) and (x2, y2), how do you find the y-coordinate of the midpoint?

Back

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

Tags

CCSS.HSG.GPE.B.6

Front

What is the significance of the midpoint in coordinate geometry?

Back

The midpoint is used to find the center point of a line segment and is essential in various geometric constructions.

Tags

CCSS.HSG.GPE.B.6

Front

How do you derive the midpoint formula from the coordinates of two endpoints?

Back

By averaging the x-coordinates and the y-coordinates of the endpoints.

Tags

CCSS.HSG.GPE.B.6

Front

What is the midpoint of the line segment with endpoints (-3, 4) and (5, -2)?

Back

(1, 1)

Tags

CCSS.HSG.GPE.B.6