Exploring Midpoint and Distance in Geometry

The video tutorial covers the midpoint and distance formulas, starting with a review of segment bisectors. It includes examples of identifying segment bisectors, calculating distances between points, and finding midpoints. The tutorial also demonstrates solving for unknown endpoints using the midpoint formula.

What is a segment bisector?

• A point that divides a segment into three equal parts

• A line that intersects a segment at its midpoint

• A segment that is parallel to another segment

• A line that intersects a segment at any point

How can you identify that two segments are congruent?

• By their position on the graph

• By their length

• By the tick marks on the segments

• By their color

What is the first step in solving for x in the equation 5x - 3 = 11 - 2x?

• Divide by 7

• Move 2x to the left side

• Subtract 5x from both sides

• Add 3 to both sides

What is the distance formula used for?

• Finding the midpoint between two points

• Finding the distance between two points

• Finding the area of a triangle

• Finding the slope of a line

In the distance formula, what operation is performed first according to the order of operations?

• Parentheses

• Exponentiation

• Subtraction

• Addition

What is the midpoint formula used for?

• Finding the slope of a line

• Finding the midpoint between two points

• Finding the area of a rectangle

• Finding the distance between two points

How do you find the midpoint between two points (x1, y1) and (x2, y2)?

• (x1 + x2, y1 + y2)

• (x1 - x2, y1 - y2)

• ((x1 + x2)/2, (y1 + y2)/2)

• ((x1 - x2)/2, (y1 - y2)/2)

What is the distance between points A(3, 5) and B(7, -9) to the nearest tenth?

• 12.3

• 14.6

• 16.2

• 18.4

What is the midpoint of segment AB with endpoints A(3, 5) and B(7, -9)?

• (4, -1)

• (5, -1)

• (4, -2)

• (5, -2)

If the midpoint of segment DG is M(-1, 5) and one endpoint is D(1, 4), what is the other endpoint G?

• (-3, 6)

• (3, -6)

• (-1, 6)

• (1, -4)