Quadrilateral Worksheet



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.


Quadrilateral Worksheet:

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. In the adjoining figure, ABCD is a quadrilateral. 



  (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.


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

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

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

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

7. 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.

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

9. 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.

Quadrilateral Worksheet


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.


Answers for quadrilateral worksheet are given below to check the exact answers of the above questions.

Answers:

1. (i) four

(ii) four

(iii) four, collinear

(iv) two

(v) opposite

(vi) 360°


2. (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)


4. 122°

5. 45o, 75o, 105°, 135°

6. 135°

7. 80o

8. 100°

9. 80°


 Quadrilateral

What is Quadrilateral?

Different Types of Quadrilaterals

Construction of Quadrilaterals

Construct Different Types of Quadrilaterals



 Quadrilateral - Worksheets

Quadrilateral Worksheet

Worksheet on Construction on Quadrilateral

Worksheet on Different Types of Quadrilaterals









8th Grade Math Practice

From Quadrilateral Worksheet to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



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.



Share this page: What’s this?

Recent Articles

  1. Multiplication of a Number by a 3-Digit Number |3-Digit Multiplication

    Mar 28, 24 06:33 PM

    Multiplying by 3-Digit Number
    In multiplication of a number by a 3-digit number are explained here step by step. Consider the following examples on multiplication of a number by a 3-digit number: 1. Find the product of 36 × 137

    Read More

  2. Multiply a Number by a 2-Digit Number | Multiplying 2-Digit by 2-Digit

    Mar 27, 24 05:21 PM

    Multiply 2-Digit Numbers by a 2-Digit Numbers
    How to multiply a number by a 2-digit number? We shall revise here to multiply 2-digit and 3-digit numbers by a 2-digit number (multiplier) as well as learn another procedure for the multiplication of…

    Read More

  3. Multiplication by 1-digit Number | Multiplying 1-Digit by 4-Digit

    Mar 26, 24 04:14 PM

    Multiplication by 1-digit Number
    How to Multiply by a 1-Digit Number We will learn how to multiply any number by a one-digit number. Multiply 2154 and 4. Solution: Step I: Arrange the numbers vertically. Step II: First multiply the d…

    Read More

  4. Multiplying 3-Digit Number by 1-Digit Number | Three-Digit Multiplicat

    Mar 25, 24 05:36 PM

    Multiplying 3-Digit Number by 1-Digit Number
    Here we will learn multiplying 3-digit number by 1-digit number. In two different ways we will learn to multiply a two-digit number by a one-digit number. 1. Multiply 201 by 3 Step I: Arrange the numb…

    Read More

  5. Multiplying 2-Digit Number by 1-Digit Number | Multiply Two-Digit Numb

    Mar 25, 24 04:18 PM

    Multiplying 2-Digit Number by 1-Digit Number
    Here we will learn multiplying 2-digit number by 1-digit number. In two different ways we will learn to multiply a two-digit number by a one-digit number. Examples of multiplying 2-digit number by

    Read More