Fractional distance

Front

What is a midpoint in geometry?

Back

The midpoint is the point that divides a line segment into two equal parts. It is calculated by averaging the x-coordinates and the y-coordinates of the endpoints.

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

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

Tags

CCSS.HSG.GPE.B.6

Front

If point M is the midpoint of line segment AB, and A has coordinates (x1, y1), how can you find the coordinates of point B?

Back

Use the formula: B = (2Mx - x1, 2My - y1), where M is the midpoint.

Tags

CCSS.HSG.GPE.B.6

Front

What is the formula to find the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

If point Q is 2/3 of the way from point C to point D, how do you find the coordinates of Q?

Back

Q = C + 2/3 * (D - C).

Tags

CCSS.HSG.GPE.B.6

Front

What does it mean for a point to be a certain fraction of the distance between two other points?

Back

It means that the point divides the segment connecting the two points in a specific ratio.

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint between (1, 2) and (3, 4).

Back

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

Tags

CCSS.HSG.GPE.B.6

Front

What is the midpoint of the segment with endpoints (0, 0) and (4, 4)?

Back

Midpoint = ((0 + 4)/2, (0 + 4)/2) = (2, 2).

Tags

CCSS.HSG.GPE.B.6

Front

Calculate the midpoint of the segment with endpoints (6, 7) and (6, -5).

Back

Midpoint = (6, (7 + (-5))/2) = (6, 1).

Tags

CCSS.HSG.GPE.B.6

Front

If A is at (2, 3) and B is at (8, 7), what is the midpoint?

Back

Midpoint = ((2 + 8)/2, (3 + 7)/2) = (5, 5).

Tags

CCSS.HSG.GPE.B.6