Distance, Midpoint, Endpoint

Front

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

Back

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

Tags

CCSS.HSG.GPE.B.6

Front

How do you 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 the midpoint is (2, -5) and one endpoint is (12, -5), how do you find the missing endpoint?

Back

Use the midpoint formula: (x1 + x2)/2 = 2 and (y1 + y2)/2 = -5 to solve for the missing endpoint.

Tags

CCSS.HSG.GPE.B.6

Front

What is the distance between the points (-5, -8) and (-1, -16)?

Back

Distance = 8.9

Tags

CCSS.HSG.GPE.B.7

Front

What is the endpoint if one endpoint is (9, 8) and the midpoint is (0, 9)?

Back

Endpoint = (-9, 10)

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint of the line segment with endpoints (3, 9) and (5, 9).

Back

Midpoint = (4, 9)

Tags

CCSS.HSG.GPE.B.6

Front

What does the term 'endpoint' refer to in geometry?

Back

An endpoint is a point at one end of a line segment or the starting point of a ray.

Tags

CCSS.HSG.CO.A.1

Front

What is the significance of the midpoint in a line segment?

Back

The midpoint divides the segment into two equal parts.

Tags

CCSS.HSG.GPE.B.6

Front

If the coordinates of the endpoints are (x1, y1) and (x2, y2), how can you express the coordinates of the midpoint?

Back

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

Tags

CCSS.HSG.GPE.B.6

Front

What is the formula for finding the other endpoint if you know one endpoint and the midpoint?

Back

Other Endpoint = (2 * Midpoint - Known Endpoint)

Tags

CCSS.HSG.GPE.B.6