Quadrilaterals in Coordinate Geometry

Front

What is a quadrilateral?

Back

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

Front

What are the properties of a rectangle?

Back

A rectangle has opposite sides that are equal and parallel, all angles are right angles (90 degrees), and the diagonals are equal in length.

Front

How do you find the area of a rectangle?

Back

The area of a rectangle is found using the formula: Area = length × width.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter of a rectangle is calculated using the formula: Perimeter = 2(length + width).

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Front

What are the properties of a square?

Back

A square has all sides equal, all angles are right angles, and the diagonals are equal and bisect each other at right angles.

Front

How do you determine if a quadrilateral is a rectangle using coordinates?

Back

A quadrilateral is a rectangle if the slopes of opposite sides are equal and the lengths of the diagonals are equal.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What is the relationship between parallel lines and their slopes?

Back

Parallel lines have the same slope, meaning they rise and run at the same rate.

Front

How do you find the coordinates of a point in a coordinate plane?

Back

The coordinates of a point are given as (x, y), where x is the horizontal distance from the origin and y is the vertical distance.