Practical Geometry MCQs

Practical Geometry is a critical part of the CBSE Class 8 syllabus. Students are often wary about this chapter as it involves a lot of geometrical concepts and constructions. However, a major chunk of questions from this topic comes in the form of MCQs. Therefore, by practicing more MCQ-type questions, the students will ensure securing better marks from this chapter. For the benefit of the students, we have a collection of all important Class 8 Math Chapter 4 Practical Geometry MCQs in the form of online downloadable material. We hope this resource will assist the students in preparing this particular topic. You can see a few examples in the next section regarding the type of questions one can expect.

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Practical Geometry MCQs - Solved Examples, and FAQs

The following is a compilation of CBSE Class 8 Math Chapter 4 Practical Geometry MCQs. All the examples given below have their solutions given underneath the question. These MCQs are very beneficial for the students, and practicing the likes of these will help the kids in acing their examination.

1. State the proper conditions under which one can construct a quadrilateral. 

1. We are given one diagonal and the length of four sides.

2. We are given three sides and one diagonal.

3. When we have one diagonal and the measurement of two sides.

4. None of the above options.

Answer: a.

2. If you have the measure of two diagonals and the length of three sides given, which of the following is possible?

1. We can't construct a quadrilateral.

2. We can construct a quadrilateral.

3. We don't have enough information.

4. None of the above.

Answer: b.

3. We will require the measurements of two adjacent sides and how many angles, for proper construction of a quadrilateral?

1. Three

2. One

3. Two

4. All of the angles.

Answer: a.

4. We require the measurements of two diagonals and how many sides, for the proper construction of a quadrilateral?

1. One

2. Three

3. All four 

4. Two

Answer: b.

5. If we have the measure of three sides, we need to know the value of ____ included angles to draw a quadrilateral. 

1. One

2. Four

3. Three

4. Two

Answer: d.

6. For the geometrical construction of a square, we require which parameters?

1. The value of all interior angles.

2. The measure of all four sides.

3. The measure of one interior angle.

4. The measure of one side length.

Answer: d.

Elaboration: We know that in a square, the length of each side is equal, and all the internal angles measure 90°. Therefore, if we know the length of one side of a square, we have all the information to draw the square easily.

7. The parameters we need to know to draw a proper rectangle are:

1. The measure of each interior angle.

2. The length of each side.

3. The measure of one interior angle.

4. The length and breadth of the rectangle

Answer: d.

Elaboration: In a rectangle, the length of the parallel sides is the same. Also, every interior angle is 90°. Therefore, if we know the lengths and breadth, we have all the information to accurately draw the rectangle.

8. If we just have the measure of the diagonals for a quadrilateral, which one are we going to draw?

1. Kite

2. Parallelogram 

3. Rhombus

4. Rectangle 

Answer: c.

Elaboration: We can draw a rhombus with the measure of its diagonals because the rhombus has the unique property of its diagonals bisecting each other at 90°.

9. How many parameters must be available for us to draw a unique quadrilateral?

1. Three

2. Seven

3. Five 

4. None of the above.

Answer: c.

10. For the proper construction of a parallelogram, the parameters required are

1. The length of two adjacent sides and two angles.

2. The length of two adjacent sides and one internal angle.

3. The measure of the parallel sides.

4. The measure of all internal angles.

Answer: b.

Elaboration: In a parallelogram, the parallel sides are equal. Therefore, knowing the measure of adjacent sides is synonymous with knowing the measure of each side. Also, the two angles in a parallelogram are supplementary to each other. Therefore, if we know one angle, we can find the other.

Fun Facts about Practical Geometry

Often students complain that Math and especially geometry is difficult and has no practical applications. To your surprise, geometry is one of the oldest subjects and it has a wide variety of practical applications. To prove this we have brought various interesting geometry facts for you:

• Word “geometry” has Greek origins. “Geo” means earth and “metria” means measurement

• Euclid is known as the Father of the geometry

• Diagonal of a square bisect each other at 90 degrees and are perpendicular to each other

• Evidence has been found which proves that ancient Egyptians used geometry and geometric equations.

• Greeks used geometry in constructing their buildings. This shows how old and significant this subject is.

We have provided you with Practical Geometry MCQs - Solved Examples, and FAQs for free. All the questions are picked in such a way that they will facilitate your progress in geometry. All the questions have their answers given right beneath the questions themselves. You can find explanations on more such Mathematical topics on our website.

Conclusion

After going through this write-up you are well equipped to solve more advanced level questions based on Practical Geometry, more specifically on quadrilaterals. Even if you may not encounter many direct questions from the topic, you will be using this topic in solving other types of questions. 

Solving these questions will also help you in tackling many questions in various entrance exams in the future that will have Mathematical or quantitative aptitude as a subject.

Thus covering this topic will not help you in scoring great marks in the upcoming exams but will also help you perform excellently in future exams as well.