Important Questions Class 8 Maths Practical Geometry

Important Questions on Practical Geometry for Class 8 are available in this Maths article. Practical Geometry Class 8 Important Questions are very useful for understanding and solving construction-based problems easily. This article helps students learn important questions and answers related to the construction of quadrilaterals and their properties. Practical Geometry involves constructing different quadrilaterals using given measurements such as sides, angles, and diagonals. Our subject experts have provided detailed solutions for these problems based on the CBSE syllabus and the NCERT textbook. This study material helps students revise the chapter effectively and perform well in examinations.

Table of Contents

• Very Short Answer Questions
• Short Answer Questions
• Long Answer Questions
• Application-Based Questions
• Key Concepts to Remember

Very Short Answer Questions

1. How many measurements are required to construct a unique quadrilateral?
2. Name the five cases in which a quadrilateral can be constructed uniquely.
3. Can a unique quadrilateral be constructed with only 4 side measurements? Give reason.
4. What is the minimum number of measurements needed to construct a unique parallelogram?
5. In constructing a quadrilateral when four sides and one diagonal are given, how many triangles are formed?
6. What construction tool is used to draw an arc while constructing a quadrilateral?
7. If all four sides of a rhombus are equal, how many additional measurements are needed to construct it uniquely?
8. Name the type of quadrilateral that can be constructed using only two diagonal measurements.

Short Answer Questions

1. Construct a quadrilateral ABCD where AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm and AC = 7 cm. Name the construction case used.
2. Construct a quadrilateral LIFT where LI = 4 cm, IF = 3 cm, TL = 2.5 cm, LF = 4.5 cm and IT = 4 cm.
3. Construct a rhombus BEST where BE = 4.5 cm and ET = 6 cm. Which special property of a rhombus did you use?
4. Construct quadrilateral JUMP where JU = 3.5 cm, UM = 4 cm, MP = 5 cm, PJ = 4.5 cm and PU = 6.5 cm.
5. Can you construct a parallelogram BATS where BA = 5 cm, AT = 6 cm and AS = 6.5 cm? Justify your answer.
6. A student attempted to draw quadrilateral PLAY where PL = 3 cm, LA = 4 cm, AY = 4.5 cm, PY = 2 cm and LY = 6 cm but could not. Give the reason.
7. Construct a quadrilateral ABCD where BC = 4.5 cm, AD = 5.5 cm, CD = 5 cm, diagonal AC = 5.5 cm and diagonal BD = 7 cm.
8. Construct quadrilateral MORE where MO = 6 cm, OR = 4.5 cm, ∠M = 60°, ∠O = 105° and ∠R = 105°.

Long Answer Questions

1. Construct a quadrilateral MIST where MI = 3.5 cm, IS = 6.5 cm, ∠M = 75°, ∠I = 105° and ∠S = 120°. Write the steps of construction.
2. Construct a quadrilateral ABCD where AB = 4 cm, BC = 5 cm, CD = 6.5 cm, ∠B = 105° and ∠C = 80°. Write all steps clearly.
3. Construct a quadrilateral DEAR where DE = 4 cm, EA = 5 cm, AR = 4.5 cm, ∠E = 60° and ∠A = 90°. Write the steps of construction.
4. Construct a rectangle OKAY where OK = 7 cm and KA = 5 cm. Which special properties of the rectangle did you use?
5. Construct a rhombus whose diagonals are 5.2 cm and 6.4 cm. Write steps and explain which property of a rhombus is used.
6. Construct quadrilateral GOLD where OL = 7.5 cm, GL = 6 cm, GD = 6 cm, LD = 5 cm and OD = 10 cm. Write the steps of construction.
   
   

Application-Based Questions

1. We know that 5 measurements determine a quadrilateral uniquely. Does any set of 5 measurements work? Discuss with an example where 5 measurements still do not give a unique quadrilateral.
2. Can you draw a rhombus ZEAL where ZE = 3.5 cm and diagonal EL = 5 cm? Justify your answer using properties of rhombus.
3. In a parallelogram, if the lengths of adjacent sides are known, do you still need the angle measures to construct it uniquely? Explain.
4. How will you construct a rectangle PQRS if only the lengths PQ and QR are known? Write the steps using properties of a rectangle.
5. Construct a kite EASY where AY = 8 cm, EY = 4 cm and SY = 6 cm. Which properties of a kite did you use in the construction?
6. Can you construct a quadrilateral PQRS with PQ = 3 cm, RS = 3 cm, PS = 7.5 cm, PR = 8 cm and SQ = 4 cm? Verify using a rough sketch.

Key Concepts to Remember

1. 5 measurements are needed to uniquely determine a quadrilateral.
2. A quadrilateral can be constructed uniquely when:
   - Four sides and one diagonal are given
   - Two diagonals and three sides are given
   - Two adjacent sides and three angles are given
   - Three sides and two included angles are given
   - Special properties are known (square, rhombus, rectangle, parallelogram)
3. Always draw a rough sketch before starting construction.
4. A rhombus can be constructed with just two diagonal measurements because its diagonals are perpendicular bisectors of each other.
5. A square needs only one side measurement since all sides are equal and all angles are 90°.