Midpoint and distance formula

Front

What is the midpoint formula for two points (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 y-coordinate of the midpoint between two points?

Back

Add the y-coordinates of the two points and divide by 2.

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 distance between the points (4, 3) and (0, 6).

Back

Distance = 5

Tags

CCSS.HSG.GPE.B.7

Front

Calculate the distance between the points (2, -1) and (2, 5).

Back

Distance = 6

Tags

CCSS.HSG.GPE.B.7

Front

What is the significance of the distance formula in geometry?

Back

It helps determine the length of a line segment between two points in a coordinate plane.

Tags

CCSS.HSG.GPE.B.7

Front

If the coordinates of point A are (x1, y1) and point B are (x2, y2), what does (x1 + x2) / 2 represent?

Back

It represents the x-coordinate of the midpoint between points A and B.

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

The midpoint is the point that divides a line segment into two equal parts.

Tags

CCSS.HSG.GPE.B.6

Front

If the midpoint of a line segment is (3, 4) and one endpoint is (5, 6), what is the other endpoint?

Back

The other endpoint is (1, 2).

Tags

CCSS.HSG.GPE.B.6

Front

What is the distance between the points (1, 1) and (4, 5)?

Back

Distance = 5

Tags

CCSS.HSG.GPE.B.7