Are you looking for a practical geometry worksheet for Class 8? Look no further! This free PDF download includes construction questions on quadrilaterals, rhombuses, and more. These questions are based on the latest CBSE syllabus for practical geometry and will help students to develop their mental maths skills. Get your hands on this helpful resource today

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Practical geometry class 8 worksheets are an excellent tool for students to practice various geometrical concepts such as lines, angles, triangles, and quadrilaterals. These worksheets consist of numerous questions that enable students to practice and apply the concepts they have learned in class. Additionally, practical geometry class 8 extra questions further aid students in their studies, as they provide an opportunity to test their knowledge and improve their problem-solving skills.

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Practical geometry class 8 important formulas:

1. Perimeter of a polygon: The perimeter of a polygon is the sum of the lengths of all its sides. For a polygon with n sides, the perimeter can be calculated as P = a1 + a2 + ... + an, where ai is the length of the ith side.

2. Area of a triangle: The area of a triangle can be calculated using the formula A = 1/2 × b × h, where b is the base of the triangle, and h is its height.

3. Area of a rectangle: The area of a rectangle can be calculated using the formula A = l × w, where l is the length of the rectangle and w is its width.

4. Area of a square: The area of a square can be calculated using the formula A = s², where s is the length of one side of the square.

5. Circumference of a circle: The circumference of a circle can be calculated using the formula C = 2πr, where r is the radius of the circle, and π is a constant equal to approximately 3.14.

6. Area of a circle: The area of a circle can be calculated using the formula A = πr², where r is the radius of the circle.

7. Pythagorean theorem: The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Mathematically, it can be expressed as a² + b² = c², where a and b are the lengths of the other two sides, and c is the length of the hypotenuse.

8. Similarity of triangles: Two triangles are said to be similar if their corresponding angles are equal, and their corresponding sides are in proportion. This can be expressed as a ratio of the lengths of the corresponding sides, known as the scale factor.

Practical geometry class 8 Extra Questions and Answers:

Exercise 1: Find the perimeter and area of a rectangle with length 8 cm and width 5 cm.

Solution: Perimeter = 2(l + w) = 2(8 + 5) = 26 cm Area = lw = 8 x 5 = 40 cm²

Exercise 2: Find the length of the hypotenuse of a right-angled triangle with base 6 cm and height 8 cm.

Solution: Using the Pythagorean theorem, a² + b² = c², where a and b are the lengths of the other two sides, and c is the length of the hypotenuse. a = 6 cm b = 8 cm c² = a² + b² = 6² + 8² = 100 c = √100 = 10 cm

Exercise 3: Find the perimeter and area of a square with side length 12 cm.

Solution: Perimeter = 4s = 4 x 12 = 48 cm Area = s² = 12² = 144 cm²

Exercise 4: Find the circumference and area of a circle with a radius 5 cm.

Solution: Circumference = 2πr = 2 x π x 5 = 31.4 cm (approx.) Area = πr² = π x 5² = 78.5 cm² (approx.)

Exercise 5: Find the length of the missing side of a similar triangle with a scale factor of 2, given that one side of the smaller triangle is 4 cm and the corresponding side of the larger triangle is 8 cm.

Solution: The sides of similar triangles are proportional to the scale factor. Therefore, the missing side is 2 x 4 = 8 cm.

FAQs

1. What is practical geometry?

   Practical geometry involves the study of shapes and figures in two dimensions (2D) and three dimensions (3D). It includes concepts such as lines, angles, triangles, quadrilaterals, circles, and volumes.

2. What are the important topics covered in practical geometry class 8?

   Some of the important topics covered in practical geometry class 8 include angles, triangles, quadrilaterals, circles, construction of geometrical figures, and mensuration.

3. How can I improve my practical geometry skills?

   To improve your practical geometry skills, it is important to practice solving problems and exercises regularly. You can also refer to textbooks, online resources, and consult with your teachers for guidance.

4. What are the common formulas used in practical geometry class 8?

   Some of the common formulas used in practical geometry class 8 include the Pythagorean theorem, perimeter and area of shapes such as triangles, rectangles, squares, and circles, and volume of 3D shapes such as cubes and cylinders.

5. What are the benefits of learning practical geometry?

   Learning practical geometry helps to develop logical and analytical skills, improve spatial reasoning, and enhance problem-solving abilities. It also helps students to understand and appreciate the beauty and symmetry in shapes and figures.

6. How can I prepare for practical geometry class 8 exams?

   To prepare for practical geometry class 8 exams, it is important to practice solving problems and exercises regularly, review important formulas and concepts, and take mock tests to assess your preparation level. It is also helpful to clarify doubts with your teachers and revise regularly.