Midpoint Formula

Front

What is the Midpoint Formula?

Back

The Midpoint Formula is used to find the midpoint (M) of a line segment with endpoints (x1, y1) and (x2, y2). It is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Tags

CCSS.HSG.GPE.B.6

Front

How do you find the x-coordinate of the midpoint?

Back

To find the x-coordinate of the midpoint, use the formula: x-coordinate = (x1 + x2) / 2.

Tags

CCSS.HSG.GPE.B.6

Front

How do you find the y-coordinate of the midpoint?

Back

To find the y-coordinate of the midpoint, use the formula: y-coordinate = (y1 + y2) / 2.

Tags

CCSS.HSG.GPE.B.6

Front

What is the midpoint of the segment with endpoints (4, -1) and (2, -7)?

Back

The midpoint is (3, -4).

Tags

CCSS.HSG.GPE.B.6

Front

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

Back

The midpoint is (-1, 7).

Tags

CCSS.HSG.GPE.B.6

Front

What is the midpoint of the segment with endpoints (5, 9) and (-1, 9)?

Back

The midpoint is (2, 9).

Tags

CCSS.HSG.GPE.B.6

Front

If the endpoints of a line segment are M(3, -1) and N(7, -5), what is the midpoint?

Back

The midpoint is (5, -3).

Tags

CCSS.HSG.GPE.B.6

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts and is equidistant from both endpoints.

Tags

CCSS.HSG.GPE.B.6

Front

Can the midpoint be a non-integer value?

Back

Yes, the midpoint can be a non-integer value if the coordinates of the endpoints are not both even or both odd.

Tags

CCSS.HSG.GPE.B.6

Front

What is the relationship between the coordinates of the midpoint and the endpoints?

Back

The coordinates of the midpoint are the averages of the corresponding coordinates of the endpoints.

Tags

CCSS.HSG.GPE.B.6