What kind of quadrilateral is a rectangle

A quadrilateral is a polygon with four sides. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles.

A rhombus is a parallelogram with four congruent sides. The plural of rhombus is rhombi. I love that word. These practice questions will help you solidify the properties of parallelogram. A rhombus is a quadrilateral whose all four sides are equal in length and opposite sides are parallel to each other. A rhombus with right angles would become a square. These practice questions will help you solidify the properties of rhombus. A trapezium called Trapezoid in the US is a quadrilateral that has only one pair of parallel sides.

These practice questions will help you solidify the properties of trapezium. The below table summarizes the formulas on the area and perimeter of different types of quadrilaterals:. To ace the GMAT a well-defined study plan is required. Adam wants to build a fence around his rectangular garden of length 10 meters and width 15 meters. How many meters of fence he should buy to fence the entire garden? Steve wants to paint one rectangular-shaped wall of his room.

If the wall is 25 meters long and 18 meters wide, then what is the total cost to paint the wall? We hope by now you would have learned the different types of quadrilaterals, their properties, and formulas and how to apply these concepts to solve questions on quadrilaterals.

The application of quadrilaterals is important to solve geometry questions on the GMAT. If you are planning to take the GMAT, we can help you with high-quality study material which you can access for free by registering here. If you are planning to take the GMAT, we can give you access to quality online content to prepare. Write to us at acethegmat e-gmat. AB is parallel to DC. Comparing the sides and angles of the different quadrilateral are discussed above. Elements of a Quadrilateral.

Types of Quadrilaterals. Parallel Lines. Perpendicular Lines. Construction of Perpendicular Lines by using a Protractor. Sum of Angles of a Quadrilateral. Diagonals of rectangle bisect each other. Note that all the rectangles are parallelograms but the reverse of this is not true. Rhombus A quadrilateral that has all sides equal and opposite sides parallel is called Rhombus. Opposite angles of a rhombus are equal and diagonals of the Rhombus bisect each other perpendicularly. Note all rhombus are parallelograms but the reverse of this is not true.

Diagonals of square bisect each other perpendicularly. Note that all squares are rhombus but not vise-versa. Sample Problems on Quadrilaterals Now let us see some problems based on quadrilaterals :. Find the length of the shortest side of the quadrilateral. Find value of EF. Solution : We know that the Median of the trapezoid is half the sum of its bases.

Problem 3: In a Parallelogram adjacent angles are in the ratio of