Distance Between Points in Geometry

This video tutorial explains how to calculate the distance between points on a coordinate plane when they share the same x or y value. It demonstrates the process using two examples: one where the points share the same y-value and another where they share the same x-value. The tutorial emphasizes that when points do not share the same x or y value, the distance cannot be calculated by simply counting spaces.

What is the first step in finding the distance between two points on a coordinate plane?

• Identify if they share the same x or y value.

• Count the spaces between the points.

• Calculate the slope between the points.

• Draw a line connecting the points.

How many units apart are points A (3, 5) and B (-6, 5) on the x-axis?

• 12 units

• 9 units

• 6 units

• 3 units

When two points share the same x-coordinate, what should you focus on to find the distance?

• The distance between their x values.

• The distance between their y values.

• The slope of the line connecting them.

• The midpoint of the line connecting them.

What is the total distance between points X (-1, 2) and Y (-1, -4) on the y-axis?

• 5 units

• 4 units

• 7 units

• 6 units

Why can't you count spaces directly when points do not share the same x or y value?

• Because the distance is not a straight line.

• Because the points form a diagonal line.

• Because the points are too far apart.

• Because the points are on different axes.

What is the key takeaway when finding distances between points with the same x or y coordinate?

• Always use the Pythagorean theorem.

• Calculate the midpoint first.

• Draw a graph to visualize the points.

• Focus on the shared coordinate to simplify calculations.

What is the importance of understanding when points do not share the same x or y coordinate?

• It helps in drawing accurate graphs.

• It allows for the use of different mathematical formulas.

• It simplifies the calculation of distances.

• It prevents errors in counting spaces.