Daily Practice Problems undefined Introduction to Euclid’s Geometry

Question 1:

Solve the equation a – 15 = 25 and state which axiom do you use here?

Question 2:

Ram and Ravi have the same weight. If they each gain weight by 2 kg, how will their new weights be compared?

Question 3:

If A, B and C are three points on a line, and B lies between A and C as shown in

figure, then prove that AB + BC = AC.

Question 4:

If a point C be the mid-point of a line segment AB, then write the relation among AC, BC and AB.

Question 5:

How many lines do pass through two distinct points?

Question 6:

In the given figure, if AB = CD, then prove that AC = BD. Also, write the Euclid’s axiom used for proving it.

Question 7:

Define: (a) Square (b) Perpendicular lines

Question 8:

In the given figure, name the following:

(i) Four collinear points

(ii) Five rays

(iii) Five line segments

(iv) Two-pairs of non-intersecting line segments.

Question 9:

In the given figure, AC = DC and CB = CE. Show that AB = DE. Write the Euclid’s axiom to support this.

Question 10:

Define each of the following terms

i. Angle ii. Line segment iii. Radius of a circle

Question 11:

What is Euclid’s fifth postulate?

Question 12:

Mohan and Sohan have the same weight. If they each gain weight by 2 kg, how will their new weights be compared?

Question 13:

The Euclidean geometry is valid only for figures in the _______.

Question 14:

Euclid’s fourth axiom says that _______.

Question 15:

Axioms are assumed

(a) Theorems

(b) Definitions

(d) Universal truths in all branches of mathematics

Question 16:

Which of the following needs a proof?

(a) Definition

(b) Postulate

(d) Axiom

Question 17:

It is known that if x + y = 10 then x + y + z = 10 + z. Euclid’s axiom that illustrates this statement is

(a) First Axiom

(b) Second Axiom

(d) Fourth Axiom

Question 18:

“Lines are parallel if they do not intersect” is stated in the form of

(a) Definition

(b) Proof

(d) Axiom

Question 19:

The things which are double of the same thing are

(a) equal

(b) unequal

(d) halves of the same thing

Question 20:

Which of the following statements are true?

(a) Only one line can pass through a single point.

(b) There is an infinite number of lines which pass through two distinct points.

(d) If two circles are equal, then their radii are unequal.

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You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on Class 9 Maths Introduction to Euclid’s Geometry NCERT Chapter 5

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on Class 9 Maths Introduction to Euclid’s Geometry NCERT Chapter 5 useful.

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