Distance and Midpoint Formulas Challenge

The video tutorial covers the distance and midpoint formulas in geometry. It begins with an introduction to the distance formula, explaining how to calculate the distance between two points using the formula d = √((x2 - x1)² + (y2 - y1)²). The instructor provides a detailed example, demonstrating the calculation process. The tutorial then transitions to the midpoint formula, explaining how to find the midpoint of a line segment by averaging the x and y coordinates of two points. Another example is provided to illustrate the midpoint calculation. The video emphasizes understanding the formulas and applying them to solve problems.

What does the distance formula calculate?

• The area of a triangle

• The midpoint between two points

• The slope of a line

• The distance between two points

Tags

CCSS.HSG.GPE.B.7

In the distance formula, what operation is performed inside the parentheses?

• Division

• Multiplication

• Subtraction

• Addition

Tags

CCSS.HSG.GPE.B.7

What is the result of squaring a negative number?

• A positive number

• Zero

• A negative number

• The same negative number

Tags

CCSS.5.NBT.A.2

What is the distance between the points (7, 6) and (0, 2) using the distance formula?

• 9.12

• 7.81

• 8.06

• 6.32

Tags

CCSS.HSG.GPE.B.7

What is the simplified form of the distance between points (-2, 1) and (4, 3)?

• Square root of 45

• Square root of 40

• Square root of 65

• Square root of 50

Tags

CCSS.HSG.GPE.B.7

What is the midpoint between the numbers 2 and 9?

• 4.5

• 5.5

• 6.5

• 7.5

Tags

CCSS.HSN.CN.B.6

How do you find the midpoint between two numbers?

• Subtract the numbers and divide by 2

• Divide the numbers and add 2

• Multiply the numbers and divide by 2

• Add the numbers and divide by 2

Tags

CCSS.HSG.GPE.B.6

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

• ((x1 - x2)/2, (y1 - y2)/2)

• (x1 - x2, y1 - y2)

• (x1 + x2, y1 + y2)

• ((x1 + x2)/2, (y1 + y2)/2)

Tags

CCSS.HSG.GPE.B.6

What is the midpoint between the points (-4, 5) and (2, 10)?

• (-1, 8)

• (0, 7)

• (1, 7)

• (-1, 7.5)

Tags

CCSS.HSG.GPE.B.6

What is a common mistake when using the midpoint formula?

• Not labeling the points

• Forgetting to divide by 2

• Using the wrong formula

• Getting two separate answers instead of a point

Tags

CCSS.HSG.GPE.B.6