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 y-coordinate of the midpoint?

Back

To find the y-coordinate of the midpoint, use the formula: (y1 + y2)/2, where y1 and y2 are the y-coordinates of the endpoints.

Tags

CCSS.HSG.GPE.B.6

Front

Find 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 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

Calculate the midpoint between (3, -1) and (7, -5).

Back

The midpoint is (5, -3).

Tags

CCSS.HSG.GPE.B.6

Front

What is the x-coordinate of the midpoint of the line segment with endpoints (4, 12) and (-6, 14)?

Back

The x-coordinate of the midpoint is (-1).

Tags

CCSS.HSG.GPE.B.6

Front

If the endpoints of a segment are (-2, 0) and (9, -1), what is the midpoint?

Back

The midpoint is (3.5, -0.5).

Tags

CCSS.HSG.GPE.B.6

Front

What is the formula to find the distance between two points?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

How can the midpoint formula be applied in real life?

Back

The midpoint formula can be used in navigation, architecture, and design to find central points.

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

The midpoint is (5, 5).

Tags

CCSS.HSG.GPE.B.6