Distance and Absolute Values in Geometry

This lesson covers finding distances on the coordinate plane using absolute values. It includes graphing points, identifying distances from the x-axis, and solving real-world problems. The lesson explains how to calculate both horizontal and vertical distances and provides examples to illustrate these concepts.

What is the primary mathematical concept used to find distances on the coordinate plane?

• Pythagorean theorem

• Absolute value

• Trigonometry

• Algebraic equations

Which of the following points is at the origin on the coordinate plane?

• (-9, 0)

• (-4, 1)

• (0, 0)

• (3, 3)

What shape is formed when connecting the points in the given order?

• A circle

• A fish

• A square

• A triangle

How can you determine if two points are equidistant from the x-axis?

• Their x-values are opposites

• Their y-values are opposites

• Their y-values are the same

• Their x-values are the same

What is the distance between Lee's house and the school?

• 3 miles

• 5 miles

• 7 miles

• 9 miles

When finding the distance between two points in the same quadrant, what operation is used?

• Division

• Multiplication

• Subtraction

• Addition

If two points are in different quadrants, how do you find the distance between them?

• Divide their coordinates

• Subtract their absolute values

• Add their absolute values

• Multiply their coordinates

What is the value of n if the distance from point A to point C is equal to the distance from point A to point B?

• 11

• 9

• 7

• 5

In which quadrant is point D located if it is the same distance from point B as point A?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

What is the key takeaway from using absolute values to find distances on the coordinate plane?

• Use negative values for distances

• Use absolute values to ensure distances are positive

• Always subtract the coordinates

• Always add the coordinates