7.2 Area, Perimeter, Distance, and Midpoint

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What is the formula for finding the midpoint between two points (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

What is the area of a rectangle with length 5 and width 4?

Back

Area = length × width = 5 × 4 = 20

Front

What is the perimeter of a rectangle with length 5 and width 4?

Back

Perimeter = 2 × (length + width) = 2 × (5 + 4) = 18

Front

True or False: The distance between two points can be negative.

Back

False

Front

If the midpoint of a line segment is (3, 2) and one endpoint is (5, 4), what is the other endpoint?

Back

Other endpoint = (1, 0)

Front

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

Back

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

Front

What is the area of a triangle with base 6 and height 3?

Back

Area = (1/2) × base × height = (1/2) × 6 × 3 = 9

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius.

Front

If the coordinates of two points are (2, 3) and (2, 7), what is the distance between them?

Back

Distance = |y2 - y1| = |7 - 3| = 4