Quadrilateral Worksheet

Bookmark added to your notes.
View Notes

A quadrilateral is a two-dimensional enclosed figure with four sides and four angles. Quadrilaterals are also regarded as tetragons and quadrangles, at many a place. Typically, this geometric shape has three types, that are, convex, concave, and complex quadrilaterals. In a quadrilateral worksheet, students get to learn about these types of quadrilaterals in detail and the related concepts by solving sums. 


Types of Quadrilateral

1. Convex Quadrilateral

In convex quadrilaterals, every interior angle is less than 180 degrees, and its diagonals exist inside the figure. The following are the examples of this type of quadrilaterals.

  1. Trapezium

  2. Parallelogram

  3. Rhombus

  4. Rectangle

  5. Square

  6. Oblong

  7. Kite

  8. Cyclic quadrilaterals

  9. Bicentric quadrilaterals


2. Concave Quadrilaterals

Quadrilaterals with an interior angle of more than 180 degrees and an exterior diagonal are known as concave quadrilaterals. A prominent example of this type of quadrilaterals is a dart. It has a bilateral symmetry like kites, but one interior angle here is reflex. Referring to a quadrilateral review worksheet will help students get a better insight into the concepts of concave quadrilaterals with real-life examples.


3. Complex Quadrilaterals

A quadrilateral that has self-intersecting sides is known as a complex quadrilateral. Bow-tie or butterfly are prominent examples of this geometric shape.


In a mathematical approach, angles formed by these intersections are not part of this shape. This geometric shape has two acute interior angles and two reflex angels. Moreover, these two reflex angles appear outside of the shape, which can lead to certain confusions. However, they are still regarded as interior angles.


Furthermore, two line segments here cross and appear to create two additional interior angles; this geometric shape still has just four interior angles. Hence, these self-intersecting line segments do not add any other features to this shape.


Properties of Quadrilateral

The properties of quadrilaterals are  as follows.

  1. Four angles

  2. Four vertices

  3. Sum of all interior angles is 360 degree

Students can refer to the quadrilateral worksheet to learn and practice more about this topic.


What is Quadrilateral Worksheet?

A quadrilateral proofs worksheet is a set of questions and solutions that offer in-depth knowledge of the concept of geometry. Students can refer to these study materials to learn about important concepts, and theories related to this geometrical shape with pictures, and real-life examples.


Furthermore, these special quadrilaterals worksheets are prepared based on the curriculum and guidelines of CBSE. Hence, solving and practicing this worksheet will also help students to enhance their exam preparations. Also, these quadrilateral worksheet answers are highly convenient, offering students to find exercises and solutions as per their requirements.


Different Types of Quadrilateral Worksheet

There are different types of quadrilateral worksheets and here are some of the important ones.


1. Charts

The charts help students to get familiar with the concept of this geometric shape and its related concepts. With visually appealing charts, one can analyze and comprehend different concepts and their similarities and differences as well.


2. Angles

Angles in quadrilaterals worksheet will aid students in learning different properties of angles of quadrilaterals. It covers topics like how to measure indicated angles, and find out the angle of special quadrilaterals, etc.


3. Area

Understanding quadrilaterals class 8 worksheet will help students to practice and learn various properties of this geometrical figure. Also, they will learn how to find out various angle measures, side ratios of quadrilaterals, etc. in the whole number as well as in fractions.


4. Perimeter

Solving and practising these worksheets will help students to learn about the numerical questions on various types of quadrilaterals. They can calculate the perimeters of quadrilterals in decimals and integers and understand its congruent properties and solve various types of sums on quadrilaterals.


Apart from these, there is a dedicated worksheet for each type of a quadrilateral that can help students to understand this topic of geometry. It includes a separate worksheet on the sums of squares, rectangles, rhombus, parallelograms, trapeziums, etc.


Students can visit the official website of Vedantu or download the mobile app to find their required quadrilateral worksheets. Vedantu offers a variety of such study materials along with solutions helping students to understand this topic better. Moreover, the online classes and doubt clearing sessions available on this e-learning platform, can assists students for their doubts.

FAQ (Frequently Asked Questions)

1. What is a Line Segment in a Quadrilateral?

Ans. In geometry part of a line bounded by two endpoints is known as a line segment. In the case of a quadrilateral, one can witness mostly three such segments. Firstly, when the two diagonals of any convex quadrilateral act as a line segment and connect opposite vertices of the quadrilateral. Secondly, two bi-medians of convex quadrilaterals connect midpoints of opposite sides. Thirdly, bisectors of any convex quadrilateral act as perpendicular to one of its sides and pass through the midpoint of opposite sides.

2. What is a Bimedian of a Quadrilateral?

Ans. Bimedian of a quadrilateral is a line segment that connects the midpoints of the opposite sides in a quadrilateral. The intersection point here is known as the centroid of vertices of the quadrilateral. Moreover, the bimedians of a quadrilateral and the segment, which connects these two midpoints of a diagonal are concurrent, and the point of intersection bisects them. Additionally, in a convex quadrilateral, there is a dual connection between these bimedians and diagonals. Hence, bimedians with equal length suggest that two diagonals are perpendicular, and if diagonals have equal length, then these bimedians will be perpendicular.

3. What is a Skew Quadrilateral?

Ans. A non-planar quadrilateral is known as a skew quadrilateral. The formula to compute the dihedral angles of a skew quadrilateral from its edge lengths and its angles between its adjacent edges is derived from the works on molecular properties of cyclobutane. Also, the term gauche quadrilateral historically represented skew quadrilaterals. Moreover, this type of quadrilateral, with its diagonals create a tetrahedron. Conversely, every variant of a skew quadrilateral derives from a tetrahedron where pairs of opposite edges are non-existent.