Finding Distance Between Points Methods

The video tutorial explains two methods for calculating the distance between two points: using a sketch with Pythagoras' Theorem and a formula approach. It demonstrates both methods with examples and shows how to solve for unknowns using the distance formula.

What are the two methods introduced for finding the distance between two points?

• Using a graph and a protractor

• Using a formula and a calculator

• Using a compass and ruler

• Using a sketch and Pythagoras's Theorem

In Method 1, what is the significance of the hypotenuse in the sketch?

• It represents the longest side of the triangle

• It is the shortest distance between the two points

• It is parallel to the x-axis

• It is perpendicular to the y-axis

How do you determine the height of the triangle in Method 1?

• By measuring the distance along the x-axis

• By calculating the difference in y-coordinates

• By using a ruler to measure directly

• By estimating based on the sketch

What is the final step in Method 1 to find the distance?

• Subtract the base from the height

• Add the base and height

• Multiply the base and height

• Use Pythagoras's Theorem to calculate the hypotenuse

What is the main advantage of Method 2 over Method 1?

• It is faster and more accurate

• It uses a formula and avoids sketching

• It requires no calculations

• It can be done without any tools

In Method 2, what do you need to identify before using the formula?

• The midpoint of the line segment

• The slope of the line

• Which point is X1, Y1 and which is X2, Y2

• The angle between the points

When solving for unknown coordinates, why is Method 2 preferred?

• It is more intuitive

• It requires less mathematical knowledge

• It avoids confusion with unknown points

• It is more visual

What is the first step in solving the quadratic equation for unknown coordinates?

• Add all terms together

• Square both sides of the equation

• Divide by the largest coefficient

• Multiply all terms by zero

What is the purpose of factorizing the quadratic equation?

• To eliminate variables

• To find the possible values of a

• To simplify the equation

• To check for errors