Coordinate Geometry Concepts and Distance

The video tutorial covers lesson 2-5, focusing on calculating distances between ordered pairs using absolute values. It includes examples with fractions and complex problems involving coordinate planes and negative numbers. The lesson concludes with calculating the dimensions of a rectangular piece of land on a coordinate plane.

What is the main task introduced in the lesson?

• Finding the area of rectangles

• Solving algebraic equations

• Identifying coordinates on a map

• Calculating distances between ordered pairs

When y-coordinates are the same, how do you find the distance between two points?

• By multiplying the coordinates

• By using the absolute values of the x-coordinates

• By subtracting the y-coordinates

• By adding the x-coordinates

What is the absolute value of -2?

• 2

• 4

• -2

• 0

In the example with coordinates (12.5, 8) and (-4.5, 8), what is the distance between the points?

• 16 units

• 12 units

• 17 units

• 9 units

How do you calculate the distance between a roller coaster and swings when they share the same y-coordinate?

• By subtracting the x-coordinates

• By multiplying the coordinates

• By adding the y-coordinates

• By using the absolute values of the x-coordinates

What is the total distance from roller coaster 2 to roller coaster 3 and then to the water slide?

• 14 units

• 19 units

• 11 units

• 5 units

If point J is graphed at (n, -3), what is the distance from point H to point J?

• 5 units

• 3 units

• 2 units

• 6 units

In which quadrant are all coordinates negative?

• Quadrant 1

• Quadrant 4

• Quadrant 2

• Quadrant 3

What are the dimensions of the rectangular piece of land if each unit represents 1,000 feet?

• 2,500 feet by 3,500 feet

• 4,500 feet by 5,500 feet

• 3,000 feet by 4,000 feet

• 5,000 feet by 6,000 feet