Midpoint

Front

What is the definition of the midpoint in a coordinate plane?

Back

The midpoint is the point that is exactly halfway between two given points in a coordinate plane, calculated as the average of the x-coordinates and the y-coordinates of the endpoints.

Tags

CCSS.HSG.GPE.B.6

Front

How do you calculate the midpoint between two points (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint between the points (2, 3) and (4, 7).

Back

Midpoint = ((2 + 4) / 2, (3 + 7) / 2) = (3, 5)

Tags

CCSS.HSG.GPE.B.6

Front

What is the midpoint of the line segment with endpoints (0, 0) and (10, 10)?

Back

Midpoint = (5, 5)

Tags

CCSS.HSG.GPE.B.6

Front

If the endpoints of a line segment are (-1, -1) and (3, 3), what is the midpoint?

Back

Midpoint = (1, 1)

Tags

CCSS.HSG.GPE.B.6

Front

What is the y-coordinate of the midpoint between (2, 4) and (6, 8)?

Back

Midpoint y-coordinate = (4 + 8) / 2 = 6

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint of the line segment with endpoints (-5, 2) and (5, 2).

Back

Midpoint = (0, 2)

Tags

CCSS.HSG.GPE.B.6

Front

What is the significance of the midpoint in geometry?

Back

The midpoint is significant as it divides a line segment into two equal parts and is often used in constructions and proofs.

Tags

CCSS.HSG.GPE.B.6

Front

Calculate the midpoint of the points (-3, 4) and (1, -2).

Back

Midpoint = ((-3 + 1) / 2, (4 - 2) / 2) = (-1, 1)

Tags

CCSS.HSG.GPE.B.6

Front

What is the midpoint of the line segment with endpoints (7, 8) and (9, 10)?

Back

Midpoint = (8, 9)

Tags

CCSS.HSG.GPE.B.6