Distance and Coordinate Geometry Concepts

The video tutorial explains how to find the distance between two points on a coordinate plane. It starts with simple cases where points lie on the x-axis or y-axis, using absolute values to calculate distances. It then progresses to more complex scenarios where points do not form lines parallel to the axes, introducing the Pythagorean theorem to find distances. Finally, it derives a general distance formula applicable to any two points on the plane.

What is a coordinate plane composed of?

• One axis and two quadrants

• Three axes and six quadrants

• Four axes and eight quadrants

• Two axes and four quadrants

How do you find the distance between two points on the x-axis?

• By adding their x-coordinates

• By multiplying their x-coordinates

• By subtracting their y-coordinates

• By taking the absolute difference of their x-coordinates

If point A is at x=1 and point B is at x=4, what is the distance between them on the x-axis?

• 4 units

• 3 units

• 2 units

• 5 units

If the x-coordinates of two points are 1 and -3, what is their distance on the x-axis?

• 2 units

• 3 units

• 4 units

• 5 units

What is the distance between two points if their y-coordinates are the same?

• The absolute difference of their x-coordinates

• The sum of their x-coordinates

• The product of their x-coordinates

• The difference of their y-coordinates

What is the distance between points A(1, 0) and B(4, 0) on the x-axis?

• 5 units

• 2 units

• 3 units

• 4 units

What is the distance between two points on the y-axis?

• The sum of their y-coordinates

• The absolute difference of their y-coordinates

• The product of their y-coordinates

• The difference of their x-coordinates

If point E is at y=2 and point F is at y=0, what is the distance between them on the y-axis?

• 3 units

• 4 units

• 2 units

• 1 unit

What is the significance of the absolute value in distance calculations?

• It ensures the distance is always positive

• It makes the distance negative

• It halves the distance

• It doubles the distance

What is the distance between points G(2, 2) and H(2, -3) on the y-axis?

• 5 units

• 4 units

• 6 units

• 3 units