Distance and Midpoint Formulas Explained

This video tutorial covers the distance and midpoint formulas, starting with an introduction to their concepts. The distance formula is derived from the Pythagorean theorem and is used to calculate the distance between two points in a coordinate system. The tutorial emphasizes the importance of correctly substituting values and using parentheses. The midpoint formula is explained as finding the average of two points, with a focus on understanding the formula's simplicity. Homework assignments are provided for practice, and students are encouraged to reach out with questions.

What are the two main formulas discussed in this lesson?

• Area and Perimeter Formulas

• Quadratic and Linear Formulas

• Distance and Midpoint Formulas

• Slope and Intercept Formulas

Tags

CCSS.8.EE.B.5

From which theorem is the distance formula derived?

• Euclidean Theorem

• Fundamental Theorem of Calculus

• Binomial Theorem

• Pythagorean Theorem

Tags

CCSS.HSG.GPE.B.7

In the distance formula, what does 'd' represent?

• The slope of a line

• The midpoint of a line segment

• The distance between two points

• The difference between two points

Tags

CCSS.HSG.GPE.B.7

Why is the square root symbol important in the distance formula?

• It simplifies the equation

• It is used to find the slope

• It ensures the distance is positive

• It helps in finding the midpoint

Tags

CCSS.HSG.GPE.B.7

What is the midpoint formula used to find?

• The distance between two points

• The slope of a line

• The middle point of a line segment

• The area of a triangle

Tags

CCSS.HSG.GPE.B.6

What is the midpoint of the line segment with endpoints (1, 2) and (7, 8)?

• (2, 3)

• (4, 5)

• (3, 4)

• (5, 6)

Tags

CCSS.HSG.GPE.B.6

What should your answer be when finding the midpoint?

• A decimal

• A fraction

• An ordered pair

• A single number

Tags

CCSS.HSG.GPE.B.6

What should you do if you were not good at distance and midpoint problems in previous classes?

• Skip the homework

• Do all the problems and check your answers

• Only do half of the problems

• Ask a friend to do it for you

Tags

CCSS.HSG.GPE.B.7

What is the homework assignment for this lesson?

• Page 199, 1-29 every other even

• Page 199, 1-29 all problems

• Page 199, 1-29 every other odd

• Page 199, 1-29 only the first 10 problems

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What should you do if you have any questions about the homework?

• Ignore them

• Reach out to the teacher

• Search online

• Ask a friend

Tags

CCSS.RI.6.3

CCSS.RI.6.5

CCSS.RI.7.5

CCSS.RI.9-10.3

CCSS.RI.9-10.5