Midpoint, Distance, and Slope Formula Challenge

This video tutorial reviews key geometry concepts from semester 1, including the midpoint, distance, and slope formulas. The instructor provides examples for each formula, demonstrating how to calculate midpoints, distances, and slopes between points. The session emphasizes understanding these formulas for applications in geometry, such as determining parallel and perpendicular lines.

What is the purpose of the midpoint formula?

• To find the area of a triangle

• To find the distance between two points

• To find the middle point between two points

• To find the slope of a line

Given points (5, -2) and (6, 2), what is the midpoint?

• (11/2, 0)

• (5.5, 0)

• (11, 0)

• (5.5, 2)

What is the distance formula used for?

• To find the midpoint between two points

• To find the slope of a line

• To find the distance between two points

• To find the area of a rectangle

Given points (7, -6) and (-5, -10), what is the distance between them?

• 144

• 160

• 16

• 12.65

How do you simplify the square root of 160?

• 10√4

• 4√16

• 16√10

• 4√10

What does the slope formula determine?

• The area of a triangle

• The steepness of a line

• The midpoint between two points

• The distance between two points

What is the slope of a line given points (-5, -10) and (7, -6)?

• 1/3

• 3

• -3

• -1/3

What is the slope of a line given points (7, -6) and (-5, -10)?

• -3

• -1/3

• 1/3

• 3

What is the relationship between parallel lines in terms of slope?

• They have reciprocal slopes

• They have zero slope

• They have the same slope

• They have opposite slopes

What is the relationship between perpendicular lines in terms of slope?

• They have zero slope

• They have reciprocal slopes

• They have opposite slopes

• They have the same slope