Distance Formula and Midpoint Flashcard

Front

What is the Distance Formula?

Back

The Distance Formula is used to determine the distance between two points in a coordinate plane. It is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you calculate the midpoint between two points?

Back

The midpoint M between two points (x1, y1) and (x2, y2) is calculated using the formula: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the area of a rectangle?

Back

The area A of a rectangle is calculated by the formula: A = length × width.

Front

What is the area of a triangle?

Back

The area A of a triangle is calculated by the formula: A = (base × height) / 2.

Front

What is the formula for the distance between points (3, 4) and (7, 1)?

Back

Using the Distance Formula: d = √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.

Front

What is the midpoint of the segment with endpoints (2, 3) and (4, 7)?

Back

M = ((2 + 4)/2, (3 + 7)/2) = (3, 5).

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

d = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.

Front

What is the formula for finding the area of a circle?

Back

The area A of a circle is calculated by the formula: A = πr², where r is the radius.

Front

What is the distance between the points (0, 0) and (3, 4)?

Back

d = √((3 - 0)² + (4 - 0)²) = √(9 + 16) = √25 = 5.

Front

What is the midpoint of the segment with endpoints (5, 5) and (1, 1)?

Back

M = ((5 + 1)/2, (5 + 1)/2) = (3, 3).