Distance Between Points and Absolute Values

The video tutorial explains how to find distances in the coordinate plane using absolute values. It covers the concept of absolute value as the distance from zero on a number line, and how to use it to calculate distances between points with the same x or y coordinates. The tutorial provides rules for when to add or subtract absolute values based on the positions of points relative to axes and quadrants. The lesson concludes with a summary and a transition to solving distance problems on a grid.

What is the relationship between two numbers that are opposites on a number line?

• They are both positive numbers.

• They are the same number.

• They are both negative numbers.

• They are the same distance from zero but on opposite sides.

What does the absolute value of a number represent?

• The number itself.

• The sum of the number and zero.

• The distance of the number from zero on a number line.

• The negative of the number.

How do you find the distance between two points with the same x-coordinate?

• By finding the difference of their absolute y-values.

• By subtracting their x-coordinates.

• By finding the sum of their absolute y-values.

• By adding their y-coordinates.

In the example with points A and B, why do we add the absolute values of their y-coordinates?

• Because they have the same y-coordinate.

• Because they are on the same side of the x-axis.

• Because they are on opposite sides of the x-axis.

• Because they have the same x-coordinate.

How do you find the distance between two points with the same y-coordinate?

• By finding the difference of their absolute x-values.

• By adding their x-coordinates.

• By finding the sum of their absolute x-values.

• By subtracting their y-coordinates.

In the example with points R and P, why do we subtract the absolute values of their x-coordinates?

• Because they have the same y-coordinate.

• Because they have the same x-coordinate.

• Because they are on opposite sides of the y-axis.

• Because they are on the same side of the y-axis.

What should you do if two points are on opposite sides of an axis?

• Multiply their absolute values.

• Divide their absolute values.

• Add their absolute values.

• Subtract their absolute values.

What should you do if two points are in the same quadrant?

• Divide their absolute values.

• Subtract their absolute values.

• Add their absolute values.

• Multiply their absolute values.

If two points have the same x-coordinate, which coordinates do you use to find the distance?

• Their y-coordinates.

• The difference of their coordinates.

• Their x-coordinates.

• The sum of their coordinates.

If two points have the same y-coordinate, which coordinates do you use to find the distance?

• Their x-coordinates.

• The difference of their coordinates.

• Their y-coordinates.

• The sum of their coordinates.