Exploring Midpoint and Distance Formulas

What does the midpoint formula find?

• The area of a triangle

• The slope of a line

• The point in the middle between two points

• The distance between two points

Tags

CCSS.HSG.GPE.B.6

Which of the following is the correct format for the midpoint formula?

• (x1 - x2) / 2, (y1 - y2) / 2

• (x1 + x2) / 2, (y1 + y2) / 2

• (x1 * x2) / 2, (y1 * y2) / 2

• (x1 / x2) / 2, (y1 / y2) / 2

Tags

CCSS.HSG.GPE.B.6

If point A is at (-3, 1) and point B is at (4, 4), what is the midpoint?

• (2, 3)

• (1, 2)

• (0, 0)

• (0.5, 2.5)

Tags

CCSS.HSG.GPE.B.6

What is the distance formula derived from?

• Midpoint formula

• Pythagorean theorem

• Slope formula

• Quadratic formula

Tags

CCSS.HSG.GPE.B.7

Which of the following represents the distance formula?

• sqrt((x1 + x2)^2 + (y1 + y2)^2)

• sqrt((x1 - x2)^2 + (y1 - y2)^2)

• sqrt((x1 * x2)^2 + (y1 * y2)^2)

• sqrt((x1 / x2)^2 + (y1 / y2)^2)

Tags

CCSS.HSG.GPE.B.7

If point P is at (0, 2) and point Q is at (5, 4), what is the distance between them?

• sqrt(20)

• sqrt(30)

• sqrt(25)

• sqrt(29)

Tags

CCSS.HSG.GPE.B.7

In the distance formula, what does the term (x1 - x2)^2 represent?

• The sum of x-values squared

• The difference in y-values squared

• The difference in x-values squared

• The sum of y-values squared

Tags

CCSS.HSG.GPE.B.7

What is the first step in using the distance formula?

• Add the x-values

• Subtract the y-values

• Square the differences

• Take the square root

Tags

CCSS.HSG.GPE.B.7

Why is it not necessary to be as careful with the order of subtraction in the distance formula?

• Because the differences are divided

• Because the differences are multiplied

• Because the differences are squared

• Because the differences are added

Tags

CCSS.HSG.GPE.B.7

What is the main purpose of the midpoint and distance formulas?

• To solve quadratic equations

• To find the slope of a line

• To calculate the area of a triangle

• To find the midpoint and distance between two points

Tags

CCSS.HSG.GPE.B.6