Chapter 4 Practical Geometry mcqs & important questions mathematics | class8th

MCQ Questions for Class 8 Maths: Ch 4 Practical Geometry

1. A parallelogram whose all sides are equal is called ________.

(a) triangle

(b) trapezium

(c) square

(d) rectangle

► (c) square

2. What do we require to construct a quadrilateral if lengths of four sides are given?

(a) One of the angle

(b) Length of a diagonal

(c) Length of two diagonals

(d) None of these

► (b) Length of a diagonal

3. The quadrilateral whose diagonals are equal and bisect each other at right angle is ________. 

(a) Triangle

(b) Square

(c) Rhombus

(d) None of these

► (b) Square

4. A polygon with minimum number of sides is  

(a) Pentagon

(b) Square

(c) triangle 

(d) angle

► (c) triangle 

5. The diagonals of a square bisect each other at  _________  angle.

(a) acute

(b) right

(c) obtuse

(d) reflex

► (b) right

6. What do we require to construct a square?

(a) Length of one side

(b) Lengths of three sides

(c) Lengths of two sides

(d) None of these

► (a) Length of one side

7. All the angles of a regular polygon are of ________________.

(a) 90°

(b) 60°

(c) equal length

(d) equal measure

► (d) equal measure

8. What do we require to construct a quadrilateral if measures of two adjacent angles are given?

(a) Lengths of three sides

(b) Length of one side

(c) Lengths of two sides

(d) None of these

► (a) Lengths of three sides

9. To construct a quadrilateral uniquely, it is necessary to know at least_________ of its parts.

(a) 5

(b) 4

(c) 3

(d) 2

► (a) 5

10. A quadrilateral can be constructed uniquely if the lengths of its four sides and ____ diagonal are given.

(a) 3

(b) 2

(c) 1

(d) none of these

► (c) 1

11.A simple closed curve made up of only _____________ is called  a polygon .

(a) lines

(b) curves

(c) closed curves

(d) line segments

► (d) line segments

12. A quadrilateral can be constructed uniquely if the lengths of its ______ sides and a diagonal are given.

(a) 3

(b) 1

(c) 2

(d) 4

► (d) 4

13. Diagonals of a rectangle:

(a) equal to each other

(b) not equal

(c) one is double of the other

(d) none of these

► (a) equal to each other

14. The measure of each interior angle of a regular polygon is 140o, then number of sides that regular polygon has ___

(a) 15

(b) 12

(c) 9

(d) 10

► (c) 9

15. A parallelogram must be a rectangle if its diagonals 

(a) bisect the angles to which they are drawn

(b) are perpendicular to each other

(c) bisect each other

(d) are congruent

► (d) are congruent

16. A parallelogram each of whose angles measures 90o is _____________.

(a) rectangle

(b) rhombus

(c) kite

(d) trapezium

► (a) rectangle

17. What is the number of sides in Hexagon ?

(a) 4      

(b) 7    

(c) 6    

(d) 5

► (c) 6    

18. What do we require to construct a quadrilateral if measures of three angles are given?

(a) Length of one side

(b) Two adjacent sides

(c) Length of one diagonal

(d) None of these

► (b) Two adjacent sides

19. Polygons that have no portions of their diagonals in their exteriors are called 

(a) triangles

(b) convex

(c) concave

(d) squares

► (b) convex

20. The ratio of two adjacent sides of a parallelogram is 4:5. If its perimeter is 72 cm, find its adjacent sides. 

(a) 18 cm and 25 cm

(b) 16 cm and 25 cm

(c) 18 cm and 20 cm

(d) 16 cm and 20 cm

►(d)16 cm and 20 cm

21. Sum of all interior angles of a polygon with (n) sides is given by

(a) (n – 2) x 180°

(b) n – 2 x 180°

(c) (n + 2) x 180°

(d) n + 2 x 180°

► (a) (n – 2) x 180°

22. A quadrilateral can be constructed uniquely if its _____ sides and two included angles are given.

(a) 1

(b) 2

(c) 3

(d) none of these

► (c) 3

Practical Geometry Class 8 Extra Questions Maths Chapter 4

Extra Questions for Class 8 Maths Chapter 4 Practical Geometry

Question 1.
Construct a quadrilateral PQRS, given that QR = 4.5 cm, PS = 5.5 cm, RS = 5 cm and the diagonal PR = 5.5 cm and diagonal SQ = 7 cm.

Solution:
Construction:
Step I: Draw QR = 4.5 cm.
Step II: Draw an arc with centre R and radius 5 cm.
Step III: Draw another arc with centre Q and radius 7 cm to meet the previous arc at S.
Step IV: Join RS and QS.
Step V: Draw two arcs with centre S and R and radius 5.5 cm each to meet each other at P.
Step VI: Join RP, SP and PQ.
Thus PQRS is the required quadrilateral.

Question 2.
Construct a quadrilateral ABCD in which AB = 4 cm, BC = 3.5 cm, CD = 5 cm, AD = 5.5 cm and ∠B = 75°.

Solution:
Construction:
Step I: Draw AB = 4 cm.
Step II: Draw an angle of 75° at B and cut BC = 3.5 cm.
Step III: Draw an arc with centre C and radius 5 cm.
Step IV: Draw another arc with centre A and radius 5.5 cm to meet the previous arc at D.
Step V: Join CD and AD.
Thus ABCD is the required quadrilateral.

Question 3.
Construct a square whose side is 5 cm.

Solution:
Construction:
Step I: Draw AB = 5 cm.
Step II: Draw an angle of 90° at B and cut BC = 5 cm.
Step III: Draw two arcs with centre A and C and same radii of 5 cm which meet each other at D.
Step IV: Join AD and CD.
Thus, ABCD is the required square.

Question 4.
Construct a rhombus ABCD in which AB = 5.8 cm and AC = 7.5 cm.

Solution:
Construction:
Step I: Draw AB = 5.8 cm.
Step II: Draw an arc with centre B and radius 5.8 cm.
Step III: Draw another arc with centre A and radius 7.5 cm to meet the previous arc at C.
Step IV: Draw two arcs with centres A and C and of the same radius 5.8 cm to meet each other at D.
Step V: Join BC, AC, CD and AD.
Thus ABCD is the required rhombus.

Question 5.
Construct a rhombus whose diagonals are 6 cm and 8 cm.

Solution:
Construction:
Step I: Draw SQ = 8 cm.
Step II: Draw a right bisector of SQ at O.
Step III: Draw two arcs with centre O and radius 3 cm each to cut the right bisector at P and R.
Step TV: Join PQ, QR, RS and SP.
Thus PQRS is the required rhombus.

Question 6.
Construct a rectangle whose diagonal is 5 cm and the angle between the diagonal is 50°.


Solution:
Construction:
Step I: Draw AC = 5 cm.
Step II: Draw the right bisector of AC at O.
Step III: Draw an angle of 50° at O and product both sides.
Step IV: Draw two arcs with centre O and of the same radius 2.5 cm to cut at B and D.
Step V: Join AB, BC, CD and DA.
Thus, ABCD is the required rectangle.

Question 7.
Construct a quadrilateral ABCD in which BC = 4 cm, ∠B = 60°, ∠C = 135°, AB = 5 cm and ∠A = 90°.

Solution:
Construction:
Step I: Draw AB = 5 cm.
Step II: Draw the angle of 60° at B and cut BC = 4 cm.
Step III: Draw an angle of 135° at C and angle of 90° at A which meet each other at D.
Thus, ABCD is the required quadrilateral.

Question 8.
Construct a parallelogram ABCD in which AB = 5.5 cm, AC = 7 cm and BD = 8 cm.

Solution:
Construction:
Step I: Draw AB = 5.5 cm.
Step II: Draw an arc with centre B and radius 82 cm = 4 cm.
Step III: Draw another arc with centre A and radius 72 cm = 3.5 cm which cuts the previous arc at O.
Step IV: Join AO and produce to C such that AO = OC.
Step V: Join BO and produce to D such that BO = OD.
Step VI: Join BC, CD and AD.
Thus ABCD is the required parallelogram.

Question 9.
Construct a rhombus PAIR, given that PA = 6 cm and angle ∠A = 110°.
Solution:
Since in a rhombus, all sides are equal, so PA = AI = IR = RP = 6 cm
Also, rhombus is a parallelogram
so, adjacent angle, ∠I = 180° – 110° = 70°

Steps of construction
Step I. Draw AI = 6 cm
Step II. Draw ray AX¯ such that ∠IAX = 110° and draw IY¯ such that ∠AIY = 70°.
Step III. With A and I as centres and radius 6 cm draw arcs intersecting AX and IY at P and R respectively.
Step IV. Join PR.
Thus, PAIR is the required rhombus.