Distance and Midpoint Formulas

Front

What is the Distance Formula?

Back

The Distance Formula is used to determine the distance between two points in a coordinate plane. It is given by: d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

How do you find the midpoint between two points?

Back

The Midpoint Formula is used to find the midpoint between two points (x1, y1) and (x2, y2). It is given by: M = ((x1 + x2)/2, (y1 + y2)/2).

Tags

CCSS.HSG.GPE.B.6

Front

What is the distance between points J(2, 3) and K(10, 7)?

Back

The distance is 8.2 units.

Tags

CCSS.HSG.GPE.B.7

Front

What is the midpoint of points M(3, -1) and N(7, -5)?

Back

The midpoint is (5, -3).

Tags

CCSS.HSG.GPE.B.6

Front

What is the y-coordinate of the midpoint of the line segment between (4, 2) and (6, 4)?

Back

The y-coordinate of the midpoint is 3.

Tags

CCSS.HSG.GPE.B.6

Front

If the distance between two points is 10 units, what is the square of the distance?

Back

The square of the distance is 100.

Tags

CCSS.HSG.GPE.B.7

Front

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

Back

The distance is 5 units.

Tags

CCSS.HSG.GPE.B.7

Front

How do you calculate the perimeter of a triangle given its vertices?

Back

To calculate the perimeter, find the distances between each pair of vertices using the Distance Formula and sum them up.

Tags

CCSS.HSG.GPE.B.7

Front

What is the distance between the court house at (1, 2) and the town hall at (4, 6)?

Back

The distance is 5 units.

Tags

CCSS.HSG.GPE.B.7

Front

What is the formula for the distance between two points in a 3D space?

Back

The formula is d = √((x2 - x1)² + (y2 - y1)² + (z2 - z1)²).

Tags

CCSS.HSG.GPE.B.7