Exploring Distance and Midpoint Formulas

What mathematical concepts are related to the distance formula?

• Pythagorean theorem and equation of a circle

• Exponential functions and derivatives

• Quadratic equations and linear functions

• Trigonometric identities and logarithms

Tags

CCSS.HSG.GPE.B.7

What is the distance formula?

• d = (y2 - y1) / (x2 - x1)

• d = (x2 + x1) / 2

• d = (x2 - x1) + (y2 - y1)

• d = √((x2 - x1)^2 + (y2 - y1)^2)

Tags

CCSS.HSG.GPE.B.7

What are the coordinates of the first point used in the distance calculation example?

• (4, 2)

• (-3, 5)

• (2, -3)

• (5, -3)

Tags

CCSS.HSG.GPE.B.7

What is the result of 4 minus negative 3 in the distance formula example?

• 0

• -7

• 7

• 1

Tags

CCSS.7.NS.A.1C

What is the square of 7 in the distance formula example?

• 9

• 21

• 49

• 14

Tags

CCSS.HSG.GPE.B.7

What is the final distance between the points (-3, 5) and (4, 2)?

• √58

• √49

• √9

• √7

Tags

CCSS.HSG.GPE.B.7

What is the midpoint formula?

• (x1 + x2, y1 + y2)

• (x1 - x2, y1 - y2)

• ((x1 + x2) / 2, (y1 + y2) / 2)

• ((x1 - x2) / 2, (y1 - y2) / 2)

Tags

CCSS.HSG.GPE.B.6

What are the coordinates of the second point used in the midpoint calculation example?

• (5, -3)

• (-3, 5)

• (4, 2)

• (2, -3)

Tags

CCSS.HSG.GPE.B.6

What is the result of negative 3 plus 4 in the midpoint formula example?

• 1

• -1

• 7

• 0

Tags

CCSS.HSG.GPE.B.6

What is the final midpoint between the points (-3, 5) and (4, 2)?

• (1, 2)

• (1/2, 2)

• (1, 7)

• (1/2, 7/2)

Tags

CCSS.HSG.GPE.B.6