Distance, Midpoint, Area & Perimeter on the Coordinate Plane

Front

What is the formula for calculating the distance between two points (x1, y1) and (x2, y2) on the coordinate plane?

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 formula for calculating the area of a rectangle given its length and width?

Back

Area = length × width

Front

What is the formula for calculating the perimeter of a rectangle?

Back

Perimeter = 2(length + width)

Front

What is the formula for calculating the area of a triangle given its base and height?

Back

Area = (base × height) / 2

Front

How do you find the area of a triangle given its vertices (x1, y1), (x2, y2), (x3, y3)?

Back

Area = 1/2 | x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) |

Front

What is the perimeter of a triangle with sides of lengths a, b, and c?

Back

Perimeter = a + b + c

Front

If a rectangle has a length of 6 units and a width of 3 units, what is its area?

Back

Area = 6 × 3 = 18 square units

Front

If a triangle has a base of 8 units and a height of 5 units, what is its area?

Back

Area = (8 × 5) / 2 = 20 square units

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 units