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

Find the midpoint of the segment with endpoints (1, 2) and (3, 4).

Back

(2, 3)

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

Find the distance between the points (3, 4) and (7, 1).

Back

5

Tags

CCSS.HSG.GPE.B.7

Front

If the midpoint is (5, 5) and one endpoint is (3, 7), how do you find the missing endpoint?

Back

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

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

√((1 - (-1))² + (1 - (-1))²) = √(4 + 4) = √8 = 2√2

Tags

CCSS.HSG.GPE.B.7

Front

Find the midpoint of the segment with endpoints (0, 0) and (10, 10).

Back

(5, 5)

Tags

CCSS.HSG.GPE.B.6

Front

If the midpoint is (4, 4) and one endpoint is (6, 6), what is the other endpoint?

Back

(2, 2)

Tags

CCSS.HSG.GPE.B.6

Front

What is the distance between the points (0, 0) and (0, 5)?

Back

5

Tags

CCSS.6.G.A.3

Front

Find the midpoint of the segment with endpoints (-4, -2) and (2, 6).

Back

(-1, 2)

Tags

CCSS.HSG.GPE.B.6