Midpoint & Distance Formulas

Calculate the midpoint of the line segment with endpoints (2, 4) and (6, 10).

• (4, 7)

• (3, 6)

• (1, 3)

• (5, 8)

Tags

CCSS.HSG.GPE.B.6

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

• sqrt((x1 - x2)^2 + (y1 - y2)^2)

• (x2 - x1) * (y2 - y1)

• abs(x2 - x1) + abs(y2 - y1)

• sqrt((x2 - x1)^2 + (y2 - y1)^2)

Tags

CCSS.HSG.GPE.B.7

Find the distance between the points (3, 5) and (7, 9).

• 16

• 2 * sqrt(5)

• 4 * sqrt(2)

• 10

Tags

CCSS.HSG.GPE.B.7

In the midpoint formula, what does (x1 + x2) / 2 represent?

• Sum of x-coordinates of the two endpoints

• Average of x-coordinates of the two endpoints

• Product of x-coordinates of the two endpoints

• Difference of x-coordinates of the two endpoints

Tags

CCSS.HSG.GPE.B.6

If the midpoint of a line segment is (4, -2) and one endpoint is (2, 6), find the other endpoint.

• (8, -6)

• (0, 4)

• (3, -1)

• (6, -10)

Tags

CCSS.HSG.GPE.B.6

What does the distance formula calculate?

• Perimeter of a triangle

• Area of a circle

• Distance between two points

• Volume of a cylinder

Tags

CCSS.HSG.GPE.B.7

Determine the distance between the points (-1, 3) and (5, -2).

• exactly 5

• approximately 7.81

• approximately 3.5

• approximately 10.2

Tags

CCSS.HSG.GPE.B.7

Explain how to find the midpoint of a line segment using coordinates.

• Midpoint is located at the intersection of the x and y axes.

• Midpoint coordinates are ((x1 + x2) / 2, (y1 + y2) / 2).

• To find the midpoint, subtract the coordinates.

• Midpoint coordinates are (x1 + x2, y1 + y2).

Tags

CCSS.HSG.GPE.B.6

Calculate the midpoint of the line segment with endpoints (-3, 2) and (1, 8).

• (-2, 4)

• (-1, 5)

• (0, 6)

• (3, 10)

Tags

CCSS.HSG.GPE.B.6

the amount of space between two things

Tags

CCSS.2.MD.A.3