Finding Distances in the Coordinate Plane

What does the absolute value of a number represent?

• The negative value of the number

• The number's distance from zero on a number line

• The number squared

• The positive value of the number

What is the absolute value of -5?

• 5

• -5

• 0

• 25

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

• Use the Pythagorean theorem

• Sum the absolute values of their y-coordinates

• Add their x-coordinates

• Subtract their y-coordinates

If two points have the same x-coordinate of 4, and their y-coordinates are 1 and -3, what is their vertical distance?

• 2 units

• 4 units

• 3 units

• 5 units

What is the distance between two points on the same side of the y-axis with y-coordinates of -3?

• The difference of their absolute x-values

• 3 units

• The sum of their x-coordinates

• Cannot be determined

For points with the same y-coordinate, how do you determine the horizontal distance?

• Add their y-coordinates

• Subtract their x-coordinates

• Add the absolute values of their x-coordinates

• Subtract the absolute values of their x-coordinates

When calculating the distance between two points across an axis, you should:

• Divide their coordinates

• Add the absolute values of their coordinates

• Multiply their coordinates

• Subtract their coordinates

When two points are on opposite sides of the y-axis, their distance is found by:

• Subtracting the absolute values of their y-coordinates

• Adding the absolute values of their x-coordinates

• Subtracting their x-coordinates

• Adding their y-coordinates

If two points are in the same quadrant, how do you find the distance between them?

• Add their coordinates

• Subtract the absolute values of their coordinates

• Multiply their coordinates

• Use only their x-coordinates

In which scenario do you subtract to find the distance between two points?

• When they share the same y-coordinate

• When they share the same x-coordinate

• When they are in the same quadrant

• When they are on opposite sides of an axis