Chapter-16 Parallelograms


About RS Aggarwal Solutions for Class 8 Maths Chapter-16 Parallelograms

Parallelograms are a key chapter in Class 8 Maths that focuses on understanding four-sided figures with opposite sides parallel, building a strong foundation in geometry. This chapter introduces the definition and properties of parallelograms, including opposite sides being equal, opposite angles being equal, diagonals bisecting each other, and the sum of adjacent angles being 180 degrees. Subtopics include types of parallelograms such as rhombus, rectangle, and square, as well as special properties and proofs related to these figures. Students also learn to solve problems involving angles, sides, diagonals, and areas using these properties. To prepare this chapter effectively, students should first understand the basic definitions and visualize the shapes by drawing diagrams. Memorizing the key properties and theorems related to parallelograms is essential, as they are frequently applied in solving numerical and proof-based problems. Stepwise practice in calculating unknown sides, angles, and lengths of diagonals ensures accuracy and avoids common mistakes. Word problems often involve applying properties of parallelograms in combination, which enhances logical reasoning and problem-solving skills. Miscellaneous examples in the Maths textbook help learners understand practical applications, such as in architecture, design, and construction, making the chapter relatable. Students should also focus on proving theorems step by step, as this builds confidence in handling more complex geometric proofs in later classes. Solving problems with accurate diagrams, clear labeling, and systematic application of properties improves speed and clarity. Regular revision, practice of exercises, and attention to details like parallel sides and bisecting diagonals are critical to mastering the chapter. Understanding parallelograms thoroughly is essential for topics like rhombuses, rectangles, squares, area calculations, and coordinate geometry. By visualizing figures, applying formulas carefully, and solving examples progressively, learners can confidently handle all parallelogram-related problems and develop strong geometric reasoning and analytical skills necessary for higher mathematics and real-world applications. In Class 8 Maths, Chapter 16 focuses on the topic of Parallelograms. A parallelogram is a type of quadrilateral with two pairs of opposite sides that are parallel. In this chapter, you will learn about the properties of parallelograms and various concepts related to them. Here are some key points about parallelograms: For RS Aggarwal's class 8 Maths, check out the page, and if you need home tuition for class 8 Maths, find the right tutors. 

Definition: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. This means that the opposite sides never intersect and are always equidistant.

Properties of Parallelograms:

Opposite sides of a parallelogram are parallel. In other words, side AB is parallel to side CD, and side BC is parallel to side AD.

Opposite sides of a parallelogram are equal in length. For example, side AB is equal to side CD, and side BC is equal to side AD.

Opposite angles of a parallelogram are equal. For example, angle A is equal to angle C, and angle B is equal to angle D.

Consecutive angles of a parallelogram are supplementary, which means that the sum of two consecutive angles is 180 degrees. For example, angle A + angle B = 180 degrees, and angle B + angle C = 180 degrees. For RS Aggarwal's class 8 Maths, check out the page, and if you need home tuition for class 8 Maths, find the right tutors. 

Exercise of RS Aggarwal Solutions for Class 8 Maths Chapter-16 Parallelograms

Class 8 Maths Parallelograms (Ex 16A) Exercise 16.1

Class 8 Maths Parallelograms (Ex 16B) Exercise 16.2

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