Quadrilaterals Coordinate Geometry

Front

What is the definition of a quadrilateral?

Back

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

Front

What are the properties of a parallelogram?

Back

In a parallelogram, opposite sides are congruent, opposite angles are congruent, and the diagonals bisect each other.

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 the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals of each other.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What are the properties of a rectangle?

Back

A rectangle has opposite sides that are congruent, all angles are right angles, and the diagonals are congruent.

Front

What is a rhombus?

Back

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

Front

What is the significance of the diagonals in a rhombus?

Back

The diagonals of a rhombus are perpendicular to each other and bisect the angles of the rhombus.

Front

How can you prove that a quadrilateral is a parallelogram?

Back

You can prove a quadrilateral is a parallelogram if both pairs of opposite sides are congruent or if the diagonals bisect each other.

Front

What is the relationship between the diagonals of a rectangle?

Back

The diagonals of a rectangle are congruent and bisect each other.