Finding Distance Between Points Using Pythagorean Theorem and Distance Formula

This video tutorial demonstrates how to calculate the distance between two points on a coordinate plane using the Pythagorean theorem and the distance formula. It explains how to draw a right triangle to find the hypotenuse, which represents the distance between the points. The tutorial also covers how to use the distance formula when only given ordered pairs, showing that the formula is a variation of the Pythagorean theorem. The video provides step-by-step instructions for both methods, ensuring a clear understanding of distance calculation.

What theorem is used to find the distance between two points on a coordinate plane?

• Euler's theorem

• Theorem of calculus

• Pythagorean theorem

• Quadratic theorem

What forms the hypotenuse in the context of finding distance on a coordinate plane?

• The vertical line

• The distance between two points

• The grid line

• The horizontal line

How many units long is the vertical line mentioned in the example?

• 8 units

• 10 units

• 6 units

• 5 units

What is the length of the horizontal line in the example?

• 10 units

• 8 units

• 6 units

• 12 units

What formula is used to find the distance between two points when only their coordinates are known?

• Slope formula

• Area formula

• Midpoint formula

• Distance formula

What is the result when you square the differences of the x-values (8 - 2)?

• 100

• 64

• 16

• 36

What is the result when you square the differences of the y-values (-3 - 5)?

• 64

• 49

• 100

• 36

What is the final step to find the distance between two points using the distance formula?

• Take the square root of the sum of squares

• Add the squares of the differences

• Multiply the differences

• None of the above

What is the distance between the two points discussed in the example?

• 12 units

• 10 units

• 8 units

• 6 units

Why do we square the differences in the distance formula?

• To make the calculation easier

• To comply with mathematical standards

• To ensure the distance is always positive

• To convert the units