Q2 W2 IA (Distance Formula Substitution)

Front

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

Back

Front

How do you calculate the distance between points A(3,1) and B(-2,-1)?

Back

Front

What is the correct representation of the distance between points R(7,-2) and Q(-3,5)?

Back

Front

What is the significance of the distance formula in geometry?

Back

The distance formula is used to determine the length of a line segment between two points in a Cartesian plane.

Front

What are the coordinates of point A in the distance formula?

Back

Point A is represented as (x1, y1) in the distance formula.

Front

What are the coordinates of point B in the distance formula?

Back

Point B is represented as (x2, y2) in the distance formula.

Front

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

Back

The distance formula is derived from the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (distance) is equal to the sum of the squares of the other two sides (differences in x and y coordinates).

Front

What is the first step in using the distance formula?

Back

The first step is to identify the coordinates of the two points you are measuring the distance between.

Front

If point A is at (3,1) and point B is at (-2,-1), what is the difference in the x-coordinates?

Back

The difference in the x-coordinates is: -2 - 3 = -5.

Front

If point A is at (3,1) and point B is at (-2,-1), what is the difference in the y-coordinates?

Back

The difference in the y-coordinates is: -1 - 1 = -2.