Quadrilaterals & 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, and all angles are right angles (90 degrees).

Front

What defines a rhombus?

Back

A rhombus is a quadrilateral with all four sides of equal length and opposite angles that are equal.

Front

What is a kite in geometry?

Back

A kite is a quadrilateral with two distinct pairs of adjacent sides that are equal.

Front

What are the characteristics of a parallelogram?

Back

A parallelogram has opposite sides that are equal and parallel, and opposite angles that are equal.

Front

How can you determine if a shape is a rectangle using coordinates?

Back

A shape is a rectangle if the slopes of adjacent sides are negative reciprocals, indicating right angles.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

How do you identify a rhombus using coordinates?

Back

A shape is a rhombus if all four sides are equal in length, which can be checked using the distance formula.

Front

What is the distance formula in coordinate geometry?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).