Distance and Midpoint

Front

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

Back

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

Tags

CCSS.HSG.GPE.B.6

Front

Given the midpoint (3,4) and one endpoint (-1,6), how do you find the missing endpoint?

Back

Use the formula: (x2, y2) = (2*midpoint_x - endpoint_x, 2*midpoint_y - endpoint_y).

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Tags

CCSS.HSG.GPE.B.7

Front

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

Back

Midpoint = (5, -3)

Tags

CCSS.HSG.GPE.B.6

Front

What is the distance between the points (-5, 5) and (1, -2)?

Back

Distance = 9.2

Tags

CCSS.HSG.GPE.B.7

Front

Find the midpoint between (-4,4) and (-2,2).

Back

Midpoint = (-3, 3)

Tags

CCSS.HSG.GPE.B.6

Front

If the midpoint is (0,0) and one endpoint is (2,2), what is the other endpoint?

Back

Other endpoint = (-2,-2)

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.

Tags

CCSS.HSG.GPE.B.6

Front

How do you determine if a point is the midpoint of a segment?

Back

Check if it satisfies the midpoint formula for the endpoints.

Tags

CCSS.HSG.GPE.B.6

Front

What is the distance between the points (0,0) and (3,4)?

Back

Distance = 5

Tags

CCSS.HSG.GPE.B.7