In math practice test on quadrilateral worksheet we will practice different types of questions in quadrilateral. Students can practice the questions of quadrilateral worksheet before the examinations to get more confident.

1. Fill in the blanks:

(i) A quadrilateral has …………… sides.

(ii) A quadrilateral has …………… angles.

(iii) A quadrilateral has …………… vertices, no three of which are ………… .

(iv) A quadrilateral has …………… diagonals.

(v) A diagonal of a quadrilateral is a line segment that joins two ……………… vertices of the quadrilateral.

(vi) The sum of the angles of a quadrilateral is ……………… .

2. Multiple Choice Question (MCQ) on Quadrilaterals:

Tick (the correct option.

(i) Two sides of a quadrilateral are said to be opposite sides, if they

(a) have a common end-point.;     (b) are adjacent sides.;     (c) are not adjacent sides.;     (d) none of the above.

3. Take a point O inside a pentagon ABCDE. Join the point O with all its vertices. In how many triangles will the pentagon be divided? Name them.

4. Draw a quadrilateral. Name the sides, vertices, angles and diagonals of the quadrilateral.

5. From the following figure, name:

(i) the pairs of adjacent sides.

(ii) the pairs of opposite sides.

(iii) the pairs of adjacent angles.

(iv) the pairs of opposite angles.

(i) How many pairs of adjacent sides are there? Name them.

(ii) How many pairs of opposite sides are there? Name them.

(iii) How many pairs of adjacent angles are there? Name them.

(iv) How many pairs of opposite angles are there? Name them.

(v) How many diagonals are there? Name them.

7. Name the quadrilateral that satisfies the description:

(i) Opposite sides are parallel. All sides are equal.

(ii) One angle equals 90°. Opposite sides are parallel.

(iii) Two sides are parallel. Other two sides are not parallel.

(iv) All sides are equal. All angles are equal.

8. Find the number of rectangles in the following figure and name them.

9. Which of the following is/are 'true' or 'false' in case of a square?

(i) Sum of adjacent angles is 360°.

(ii) Diagonals bisect each other.

(iii) Opposite sides are parallel and equal.

(iv) Adjacent sides are not equal.

10. In the following figure, a square ABCD is given. State whether the following statements are true or false:

(i) AB = BC

(iii) ∠DAB = ∠BCD

(iv) ∠AOB = 90°

(v) AO = OC

11. Make the following statements true using the terms 'All', 'Some' or 'No':

(i) __________ rhombuses are squares.

(iii) __________ squares are rhombuses.

(iv) __________ parallelograms are also trapeziums.

(ν) __________ trapeziums are isosceles.

(vi) __________ parallelograms are also quadrilaterals.

12. Prove that the sum of the angles of a quadrilateral is 360°.

13. The three angles of a quadrilateral are 76°, 54° and 108°. Find the measure fourth angle.

14. The angles of a quadrilateral are in the ratio 3 : 5 : 7 : 9. Find the measure of each of these angles.

15. A quadrilateral has three acute angles, each measuring 75°. Find the measure of the fourth angle.

16. Three angles of a quadrilateral are equal and the measure of the fourth angle is 120°. Find the measure of each of the equal angles.

17. Two angles of a quadrilateral measure 85° and 75° respectively. The other two angles equal. Find the measure of each of these equal angles.

18. In the adjacent figure, the bisectors of ∠A and ∠B meet in a point P.
If ∠C = 1000 and ∠D = 60°, find the measure of ∠APB.

Hint: 60° + 100° + ∠A + ∠B = 360°

⇒ ∠A + ∠B = 200°

⇒ ¹/₂ ∠A + ¹/₂ ∠B = 100°

⇒ ∠BAP + ∠ABP = 100°

But, ∠BAP + ∠ABP + ∠APB = 180° (why?)

Now, find ∠APB.

1. (i) four

(ii) four

(iii) four, collinear

(iv) two

(v) opposite

(vi) 360°

2. (i)  (c) are not adjacent sides.

3. 23

4. Draw a quadrilateral. Name the sides, vertices, angles and diagonals of the quadrilateral.

(iii) (∠A, ∠B); (∠A, ∠D); (∠D, ∠C); (∠C, ∠B)

(iv) (∠A, ∠C); (∠B, ∠D)

6. (i) four; (AB, BC), (BC, CD), (CD, DA), (DA, AB)

(ii) two; (AB, DC), (AD, BC)

(iii) four; (∠A, ∠B), (∠B, ∠C), (∠C, ∠D), (∠D, ∠A)

(iv) two; (∠A, ∠C), (∠B, ∠D)

(v) two; (AC, BD)

7. (i) Rhombus Square

(ii) Rectangle Square

(iii) Trapezium

(iv) Square

8. ABCD, AGIE, GBFI, FCHI, HDEI, AGHD, GBCH, ABFE, EFCD

9. (i) False

(ii) True

(iii) True

(iv) False

10. (i) True

(ii) False

(iii) True

(iv) True

(v) True

11. (i) Some

(ii) All

(iii) All

(iv) No

(ν) Some

(vi) All

12.

13. 122°

14. 45°, 75°, 105°, 135°

15. 135°

16. 80o

17. 100°

18. 80°

## You might like these

What is quadrilateral? A simple closed figure formed by joining four line segments is called a quadrilateral. It has 4 sides, 4 angles, 4 vertices and two diagonals.

• ### Fundamental Geometrical Concepts | Point | Line | Properties of Lines

The fundamental geometrical concepts depend on three basic concepts — point, line and plane. The terms cannot be precisely defined. However, the meanings of these terms are explained through examples.

• ### Angles | Magnitude of an Angle | Measure of an angle | Working Rules

Angles are very important in our daily life so it’s very necessary to understand about angle. Two rays meeting at a common endpoint form an angle. In the adjoining figure, two rays AB and BC are calle

• ### Regular and Irregular Polygons | Definitions |Examples|Questions & Ans

We will learn about different types of regular and irregular polygons and their properties. Regular polygon: A polygon which has all its sides of equal length and all its angles of equal measures

Worksheet on Different Types of Quadrilaterals

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Lines of Symmetry | Symmetry of Geometrical Figures | List of Examples

Aug 10, 24 04:59 PM

Learn about lines of symmetry in different geometrical shapes. It is not necessary that all the figures possess a line or lines of symmetry in different figures.

2. ### Symmetrical Shapes | One, Two, Three, Four & Many-line Symmetry

Aug 10, 24 02:25 AM

Symmetrical shapes are discussed here in this topic. Any object or shape which can be cut in two equal halves in such a way that both the parts are exactly the same is called symmetrical. The line whi…

Aug 10, 24 01:59 AM

In 6th grade math practice you will get all types of examples on different topics along with the step-by-step explanation of the solutions.

4. ### 6th Grade Algebra Worksheet | Pre-Algebra worksheets with Free Answers

Aug 10, 24 01:57 AM

In 6th Grade Algebra Worksheet you will get different types of questions on basic concept of algebra, questions on number pattern, dot pattern, number sequence pattern, pattern from matchsticks, conce…