Flashcard Distance, Perimeter and Area on the Coordinate Plane

Front

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

Back

Area = length × width

Front

How do you find the perimeter of a rectangle?

Back

Perimeter = 2 × (length + width)

Front

What is the area of a square with a side length of 4 units?

Back

Area = 4 × 4 = 16 square units

Front

What is the definition of a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a vertical line (y-axis) and a horizontal line (x-axis).

Front

How do you plot a point on the coordinate plane?

Back

To plot a point, use the x-coordinate to move horizontally and the y-coordinate to move vertically from the origin (0,0).

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What is the area of a triangle with a base of 5 units and a height of 3 units?

Back

Area = 1/2 × base × height = 1/2 × 5 × 3 = 7.5 square units

Front

What is the definition of a quadrilateral?

Back

A quadrilateral is a polygon with four sides and four vertices.

Front

How do you calculate the area of a quadrilateral on a coordinate plane?

Back

Use the formula: Area = 1/2 × |x1y2 + x2y3 + x3y4 + x4y1 - (y1x2 + y2x3 + y3x4 + y4x1)|.

Front

What is the perimeter of a square with a side length of 3 units?

Back

Perimeter = 4 × side = 4 × 3 = 12 units.