5.1 Distance and Midpoint

Front

What is the distance formula used to calculate the distance between two points (x1, y1) and (x2, y2)?

Back

Front

What is the midpoint formula used to find the midpoint between two points (x1, y1) and (x2, y2)?

Back

Front

If point A is at (-1, 6) and the midpoint M is at (3, 4), how do you find the coordinates of point B?

Back

Use the midpoint formula: Set M = ((x1 + x2)/2, (y1 + y2)/2) and solve for (x2, y2).

Front

Calculate the distance between the points (1, 2) and (4, 6).

Back

Front

What is the distance between the points (-5, 3) and (4, -5)?

Back

Front

If the midpoint M is (3, 4) and one endpoint A is (-1, 6), how do you find the other endpoint B?

Back

Use the midpoint formula: Set M = ((-1 + x2)/2, (6 + y2)/2) and solve for (x2, y2).

Front

What is the significance of the distance formula in geometry?

Back

The distance formula allows us to calculate the straight-line distance between two points in a coordinate plane.

Front

Define the term 'midpoint' in the context of geometry.

Back

The midpoint is the point that divides a line segment into two equal parts.

Front

How do you derive the distance formula from the Pythagorean theorem?

Back

The distance formula is derived by considering the right triangle formed by the two points and applying the Pythagorean theorem.

Front

What is the distance between the points (2, 3) and (2, 7)?

Back