Distance Between Two Points: The Rule of Distance Between Two Points

The video tutorial explains how to calculate the distance between two points on a coordinate plane using the Pythagorean theorem. It introduces points A and B, and forms a right-angled triangle with a third point C. The tutorial demonstrates the calculation of the distance between A and B by applying the theorem, and concludes with an example using specific coordinates. The midpoint rule is also mentioned as a method to verify the calculation.

What do the two cars represent in the context of the coordinate plane?

• Two triangles

• Two angles

• Two points

• Two lines

Which theorem is used to calculate the distance between two points on a coordinate plane?

• Binomial theorem

• Fundamental theorem of calculus

• Remainder theorem

• Pythagorean theorem

What is the formula for the distance between two points A(X1, Y1) and B(X2, Y2) on a coordinate plane?

• Square root of (X2 * X1)^2 + (Y2 * Y1)^2

• Square root of (X2 - X1)^2 + (Y2 - Y1)^2

• Square root of (X2 + X1)^2 + (Y2 + Y1)^2

• Square root of (X2 / X1)^2 + (Y2 / Y1)^2

If point A is (2, 3) and point B is (5, 6), what is the distance between them?

• Square root of 9

• Square root of 36

• Square root of 18

• Square root of 27

What method is suggested to verify the calculated distance between two points?

• Use the area formula

• Use the slope formula

• Use the distance formula

• Use the midpoint rule