Chapter 3 Understanding Quadrilaterals Ex 3.4 NCERT Solutions for Class 8 Maths

Latest Updated : October 2023

If you are in search of NCERT solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals, then you are at the right place. When it comes to Mathematics, it is a subject that holds value for students across various academic streams, be it science, biology, or commerce and having a very good understanding of basic math concepts will help you in achieving your goal and make it much more easier.

Here we provide detailed NCERT solutions for Class 8 Maths of all the chapters, exercise wise with updated syllabus by NCERT. These NCERT solutions for Class 8 Maths have been carefully crafted to provide detailed explanations, ensuring that students can grasp the concepts effectively. We also provide extra practice questions for the same, so feel free to bookmark ncertforclass8.com to boost your preparation.

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4

Class 8 Maths Chapter 3 Understanding Quadrilaterals Exercise 3.4

Exercise 3.4

1. State whether True or False.
(a) All rectangles are squares
(b) All rhombuses are parallelograms
(c) All squares are rhombuses and also rectangles
(d) All squares are not parallelograms.
(e) All kites are rhombuses.
(f) All rhombuses are kites.
(g) All parallelograms are trapeziums.
(h) All squares are trapeziums.

Solution:

(a) False. Since, squares have all sides are equal.
(b) True. Since, in rhombus opposite angles are equal and diagonals intersect at mid-point.
(c) True. Since, squares have the same property of rhombus but not a rectangle.
(d) False. Since, all squares have the same property of parallelogram.
(e) False. Since, all kites do not have equal sides.
(f) True. Since, all rhombuses have equal sides and diagonals bisect each other.
(g) True. Since, trapezium has only two parallel sides.
(h) True. Since, all squares have also two parallel lines.

2, Identify all the quadrilaterals that have.
(a) four sides of equal length (b) four right angles

Solution:

(a) Rhombus and square have sides of equal length.
(b) Square and rectangle have four right angles.

3. Explain how a square is.
(i) a quadrilateral (ii) a parallelogram (iii) a rhombus (iv) a rectangle

Solution:

(i) A square is a quadrilateral, if it has four unequal lengths of sides.
(ii) A square is a parallelogram, since it contains both pairs of opposite sides equal.
(iii) A square is already a rhombus. Since, it has four equal sides and diagonals bisect at 90° to each other.
(iv) A square is a parallelogram, since having each adjacent angle a right angle and opposite sides are equal.

4. Name the quadrilaterals whose diagonals.
(i) bisect each other
(ii) are perpendicular bisectors of each other
(iii) are equal

Solution:

(i) If diagonals of a quadrilateral bisect each other then it is a rhombus, parallelogram, rectangle or square.
(ii) If diagonals of a quadrilateral are perpendicular bisector of each other, then it is a rhombus or square.
(iii) If diagonals are equal, then it is a square or rectangle.

5. Explain why a rectangle is a convex quadrilateral.

Solution:

A rectangle is a convex quadrilateral since its vertex are raised and both of its diagonals lie in its interior.

6. ABC is a right-angled triangle and O is the mid point of the side opposite to the right angle. Explain why O is equidistant from A, B and C. (The dotted lines are drawn additionally to help you).

Solution:

Since, two right triangles make a rectangle where O is equidistant point from A, B, C and D because O is the mid-point of the two diagonals of a rectangle.
Since AC and BD are equal diagonals and intersect at mid-point.
So, O is the equidistant from A, B, C and D.

Using Class 8 NCERT solutions offers several key advantages for students:

  1. Accurate Answers: NCERT solutions for Class 8 Maths are prepared by expert educators and thoroughly reviewed to ensure quality and accurate answers.
  2. Aligned with Curriculum: NCERT Solutions for Class 8 Maths are specifically designed to go along with the CBSE curriculum, making them the ideal resource for students studying in CBSE affiliated schools.
  3. Crisp an Clear Explanation: The NCERT solutions for Class 8 Maths provide step by step explanations, making complex concepts easier to understand. This helps students to grasp the concepts easily and build a better foundation.
  4. Time-Saver: Instead of spending extra time searching for answers, students can quickly access these NCERT solutions for Class 8 Maths , saving time and allowing them to focus on other aspects of their studies.
  5. Extra Questions: NCERT Solutions for Class 8 Maths also has extra questions that offer additional opportunities for students to build better problem solving skills.
  6. Free Forever: We provide answers which will always be free to access and share.
  7. Self-Study Support: These are beneficial for students who prefer self study. They can independently work through the solutions and improve their understanding of the subject at their own pace.

Summary

On our platform ncertforclass8.com, you will get all the NCERT Solutions for Class 8 Maths expertly solved, ensuring utmost care and accuracy. The NCERT book for Class 8 Maths is strictly followed while creating the NCERT solutions for Class 8 Maths, adhering to the latest CBSE guidelines. We make sure to provide you quality content which will help you to understand the concepts in the best way possible. Also our solutions are completely free for you to access. You have the freedom to copy the NCERT Solutions for Class 8 Maths, download them and even create PDF’s, making it convenient for your offline use.

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