Daily Practice Problems Areas of Parallelograms and Triangles

Question 1:

In the figure, ABCD is a parallelogram and EFCD is a rectangle. Also, AL ⊥ DC. Prove that

(i) ar (ABCD) = ar (EFCD)

(ii) ar (ABCD) = DC * AL

Question 2:

Two parallelograms are on equal bases and between the same parallels. Find the ratio of their areas.

Question 3:

If a triangle and a parallelogram are on same base and between same parallels, then find the ratio of the area of the triangle to the area of parallelogram.

Question 4:

In the figure, ABCD is a quadrilateral and BE || AC and also BE meets DC produced at E. Show that area of Δ ADE is equal to the area of the quadrilateral ABCD.

Question 5:

In the figure, TR ⊥ PS, PQ || TR and PS || QR. If QR = 8 cm, PQ = 3 cm and SP = 12 cm, find ar(PQRS).

Areas of Parallelograms and Triangles Class 9 Extra Questions Maths Chapter 9 with Solutions Answers 10

Question 6:

ABCD is a parallelogram and O is the point of intersection of its diagonals. If ar(A AOD) = 4 cm² find area of parallelogram ABCD.

Areas of Parallelograms and Triangles Class 9 Extra Questions Maths Chapter 9 with Solutions Answers 11

Question 7:

In the given figure of ∆XYZ, XA is a median and AB || YX. Show that YB is also a median.

Areas of Parallelograms and Triangles Class 9 Extra Questions Maths Chapter 9 with Solutions Answers 12

Question 8:

ABCD is a trapezium. Diagonals AC and BD intersect each other at O. Find the ratio ar (∆AOD) : ar (∆BOC).

Question 9:

In the given figure, E is any point on median AD of a ∆ABC. Show that: ar (ABE) = ar (ACE)

Question 10:

D, E and F are respectively the mid-points of the sides BC, CA and AB of a ∆ ABC. Show that BDEF is a parallelogram.

Question 11:

For two figures to be on the same base and between the same parallels, one of the lines must be ______.

Question 12:

The median of a triangle divides it into _____.

Question 13:

If a planar region formed by a figure T is made up of two non-overlapping planar regions formed by figures P and Q, then ar(T) = ______.

Question 14:

Area of a parallelogram is the product of its _____.

Question 15:

Show that a median of a triangle divides it into two triangles of equal areas.

Question 16:

Which of the following figures lie on the same base?

Question 17:

Number of circles that can be drawn through three non-collinear points is

Question 18:

Area of a triangle is half the product of its ____ and the _____.

Question 19:

In a triangle ABC, E is the mid-point of median AD.

Show that ar (BED) = * ar (ABC).

Question 20:

If one angle of a parallelogram is two-third of its adjacent angle, then find the smallest angle of a parallelogram.

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Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic Class 9 Maths Areas of Parallelograms and Triangles you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in Class 9 Maths Areas of Parallelograms and Triangles NCERT Chapter 9, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Areas of Parallelograms and Triangles Class 9 Maths in practical scenarios helps you remember them better than passive reading or memorization.
Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Areas of Parallelograms and Triangles Class 9 Maths Notes on LearnoHub.com
Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Areas of Parallelograms and Triangles. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Areas of Parallelograms and Triangles Class 9 Maths Online Tests at LearnoHub.com.
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Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
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In summary, problem-solving after learning a theoretical concept on CBSE Areas of Parallelograms and Triangles Class 9 Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

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 Areas of Parallelograms and Triangles NCERT Chapter 9

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 Areas of Parallelograms and Triangles NCERT Chapter 9 useful.

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