The Best Distance, Endpoint Midpoint Between Two Points

The video tutorial covers three main topics: finding the distance between two points, determining an endpoint given a midpoint and another endpoint, and finding the midpoint between two points. The instructor provides step-by-step explanations and examples for each topic, emphasizing the importance of labeling points and applying formulas correctly. The video aims to help students understand these concepts and improve their problem-solving skills.

What are the three main topics covered in the video?

• Finding the slope of a line, finding the equation of a circle, and finding the tangent of an angle.

• Finding the distance between two points, finding the midpoint, and determining the endpoint given a midpoint and an endpoint.

• Finding the area of a triangle, finding the perimeter of a rectangle, and finding the volume of a cube.

• Finding the circumference of a circle, finding the area of a square, and finding the diagonal of a rectangle.

Which formula is used to find the distance between two points?

• The midpoint formula

• The Pythagorean theorem

• The quadratic formula

• The distance formula

What is the first step in applying the distance formula?

• Multiply the coordinates

• Add the x-coordinates

• Label the points as X1, Y1, X2, Y2

• Subtract the y-coordinates

What common mistake did students make on the test regarding distance problems?

• Not plotting the points

• Forgetting to square the differences

• Not labeling the points correctly

• Using the wrong formula

What is the formula for finding the midpoint between two points?

• (X1 + X2) / 2, (Y1 + Y2) / 2

• (X1 - X2) / 2, (Y1 - Y2) / 2

• (X1 / X2) / 2, (Y1 / Y2) / 2

• (X1 * X2) / 2, (Y1 * Y2) / 2

How do you find the other endpoint if given a midpoint and one endpoint?

• Use the distance formula

• Use the midpoint formula and solve for the unknowns

• Use the slope formula

• Use the Pythagorean theorem

What is the result of solving for X2 if the midpoint's x-coordinate is -2 and one endpoint's x-coordinate is -5?

• X2 = -3

• X2 = 1

• X2 = -7

• X2 = 0

What is the final step in finding the midpoint between two points?

• Square the coordinates

• Add the coordinates and divide by two

• Multiply the coordinates

• Subtract the coordinates

If the x-coordinates of two points are -3 and 3, what is the x-coordinate of the midpoint?

• 6

• -3

• 0

• 3

What is the y-coordinate of the midpoint if the y-coordinates of two points are 4 and 1?

• 4.5

• 5

• 2.5

• 3