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MCQ Questions for class 8 Maths with Answers were prepared based on the newest exam pattern. We have provided MCQ Questions Class 8 Maths with Answers to assist students understands the concept alright. Practical geometry may be a critical part of the CBSE Class 8 syllabus. Students also can ask MCQ Questions for class 8 Maths practical Geometry for better exam preparation and score more marks.

A significant chunk of questions from this subject comes within the type of MCQ Questions. Students are often wary about this chapter because it involves plenty of geometrical concepts and constructions. By practicing more objective-type questions, the students will ensure securing better marks from this chapter.

Practice MCQ Question for Class 8 Maths chapter-wise

1. How many sides does the decagon has?

(a) 8
(b) 10
(c) 6
(d) 12

2. How many measurements can determine a quadrilateral uniquely?

(a) 2
(b) 3
(c) 4
(d) 5

3. The diagonals of a square are ______________ each other

(a) equal to
(b) unequal to
(c) perpendicular bisectors of
(d) none of these

4. The opposite angles of a parallelogram are ______________ .

(a) Unequal
(b) equal
(c) complementary
(d) supplementary

5. What is the sum of the measures of angles of convex quadrilaterals?

(a) 180º
(b) 90º
(c) 360º
(d) 45º

6. How many diagonals does a regular Hexagon has?

(a) 2
(b) 9
(c) 3
(d) 5

7. Minimum possible interior angle in a regular polygon is ______________.

(a) 70º
(b) 60º
(c) 90º
(d) 120º

8. The diagonals of a rhombus bisect each other at ______________ angles.

(a) acute
(b) right
(c) obtuse
(d) reflex

9. A parallelogram each of whose angles measures 90° is ______________.

(a) rectangle
(b) rhombus
(c) kite
(d) trapezium

10. The number of sides in a regular polygon is 15, then a measure of each exterior angle is

(a) 24º
(b) 36º
(c) 20º
(d) 18º

11. The angle sum of all interior angles of a convex polygon of sides 7 is

(a) 180º
(b) 540º
(c) 630º
(d) 900º

12. All the angles of a regular polygon are of ______________.

(a) 90º
(b) 60º
(c) equal measure
(d) equal length

13. Polygons that have any portions of their diagonals in their exteriors are called

(a) Squares
(b) triangles
(c) convex
(d) concave

14. A polygon with minimum number of sides is

(a) Pentagon
(b) Square
(c) triangle
(d) angle

15. To construct a parallelogram, what is the minimum number of measurements one needs to be provided with?

(a) 1
(b) 2
(c) 3
(d) 4

16. To construct a square, we need to know:

(a) All the interior angles
(b) All the side lengths
(c) Only one interior angle
(d) Only one side length

17. To construct a rectangle, we need to know:

(a) All the interior angles
(b) All the side lengths
(c) Only Length and breadth
(d) Only one angle measure

18. If the sum of interior angles of a regular polygon is 540º. Find the name of the polygon.

(a) Quadrilateral
(b) Pentagon
(c) Hexagon
(d) Septagon

19. If a polygon has 8 sides, then the number of diagonals it has is:

(a) 8
(b) 16
(c) 20
(d) 24

20. Can we draw a square with a side length equal to 7 cm?

(a) Yes
(b) No
(c) Cannot be determined
(d) None of the above

21. What the point of intersection of the medians of a triangle called?

(a) circumcentre
(b) In centre
(c) centroid
(d) orthocentre

22. What the point of intersection of the side bisectors of a triangle called?

(a) circum centre
(b) In centre
(c) centroid
(d) orthocentre

23. A octahedron has _____ faces and 6 vertices with 12 edges. 

(a) 4
(b) 8
(c) 12
(d) 24

24. A polyhedron has 5 faces and 6 vertices. How many edges will it have?

(a) 9
(b) 3
(c) 4
(d) 14

25. How many faces a tetrahedron has?

(a) 14
(b) 12
(c) 6
(d) 4

Answer:

1. Answer: (b) 10

Explanation: On the flip side, concave decagons have indentations, which create interior angles greater than 180º. Regardless of whether a decagon is concave or convex, it possesses the following qualities: It is a 10 sided shape. It has 10 vertices.

2. Answer: (d) 5

Explanation: Five measurements can determine a quadrilateral uniquely. A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal are given.

3. Answer: (c) perpendicular bisectors of

Explanation: The diagonals of a square bisect each other, are perpendicular to each other, and are of equal length.

4. Answer: (b) equal

Explanation: Opposite Angles of a Parallelogram are equal. By the ASA congruence criterion, two triangles are congruent to each other. Hence, it is proved that the opposite angles of a parallelogram are equal.

5. Answer: (c) 360º

Explanation: The sum of the measures of the angles of a convex quadrilateral is 360 as a convex quadrilateral is made of two triangles.If ABCD is a convex quadrilateral, made of two triangles ABD and BCD. Therefore, the sum of all the interior angles of this quadrilateral will be the same as the sum of all the interior angles of these two triangles i.e.,

180º + 180º = 360º

Yes, this property also holds true for a quadrilateral which is not convex. This is because any quadrilateral can be divided into two triangles.

6. Answer: (b) 9

Explanation: The number of diagonals of an n sided polygon is given by \(D_n=\frac{n(n-3)}{2}\)

A convex regular hexagon has 6 sides. So, n = 6

\(D_6=\frac{6(6-3)}{2}\)

= 9

7. Answer: (b) 60º

Explanation: Interior angle of an equilateral triangle is 60º, which is the minimum interior angle possible for the regular polygon.

8. Answer: (b) right

Explanation: The diagonals of a rhombus bisect each other at right angles.

9. Answer: (a) rectangle

Explanation: In a parallelogram, Both the pair of opposite sides are of equal length. Opposite angles are equal and two adjacent angles are supplementary. A rectangle is a parallelogram, in which each angle measures 90º. Hence, a parallelogram each of whose angle measures 90º is a rectangle.

10. Answer: (a) 24º

Explanation: The sum of the exterior angles of a regular polygon is 360º. The number of sides of polygon =15.

As each of the exterior angles is equal,

Exterior angle =  360º/15

= 24º

11. Answer: (d) 900º

Explanation: Sum of Interior Angles = (n−2)180º

Here n = Number of sides =7

Sum of interior angles = (7−2) ×180º

= 900º

12. Answer: (c) equal measure

Explanation: All angles of a regular polygon are equal in measure.

13. Answer: (d) concave

Explanation: A polygon is concave if any part of a diagonal contains points in the exterior of the polygon. If no diagonal contains points in the exterior, then the polygon is convex. A regular polygon is always convex.

14. Answer: (c) triangle

Explanation: A polygon cannot be formed with just two lines or line segments. Hence, a minimum number of 3 lines or line segments are required to form a polygon. Such type of polygon is called a triangle. 

15. Answer: (c) 3

Explanation: If we have the lengths of two adjacent sides, then since opposite sides are equal in a parallelogram, we have the lengths of the other sides too. Since opposite angles are equal, if one angle is known, we can figure out the remaining three as well. Thus, a minimum of three independent measurements are needed to construct a parallelogram.

16. Answer: (d) Only one side length

Explanation: A square has all its sides equal and all the interior angles measure 90 degrees. Hence, if the length of one side is known, then we can construct a square easily.

17. Answer: (c) Only Length and breadth

Explanation: A rectangle has its parallel sides equal and all the interior angles measure 90 degrees. Hence, if the length and breadth rectangle is known, then we can construct it easily.

18. Answer: (b) Pentagon

Explanation:  By the angle sum of interior angles of a polygon, if n is the number of sides, then;

Sum of interior angles = (n-2) x 180°

540º = (n – 2) x 180º

n – 2 = 540º/180º = 3

n = 3 + 2

= 5

Thus, the polygon is a pentagon

19. Answer: (c) 20

Explanation: The formula to find the number of diagonals is:

D = n (n – 3)/2, where n is the number of sides

D = 8 ( 8 – 3)/2

D = 8 (5)/2

D = 20

20. Answer: (a) Yes

Explanation: A square has all its sides equal in length and all the angles are equal to 90 degrees. Therefore, we can take any five measurements to construct a square.

21. Answer: (c) centroid

Explanation: The centroid is the point of intersection of the medians in a triangle.

22. Answer: (a) circumcentre

Explanation: The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter . A point where three or more lines intersect is called a point of concurrency.The circumcenter is equidistant from the vertices of the triangle.

23. Answer: (b) 8

Explanation: Euler's polyhedron formula, V− E + F = 2 

V = number of vertices = 6

E = number of edges = 12

F = number of faces = ?

6 −12 + F = 2

F = 6 + 2

F = 8
Number of faces = 8

A octahederon has8 faces and 6 vertices with 12 edges.

24. Answer: (a) 9

Explanation: If F = faces,V = vertices,E = edges,

F + V−E = 2

i.e, 5 + 6− E = 2

E = 9.

25. Answer: (d) 4

Explanation: In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.

Click here Practice MCQ Question for Cubes and Cube Roots Class 8

True

The circle, the square, the rectangle and the triangle are examples of plane figures.

(b) Sphere

3 – Dimensional shape can be defined as solid figure that has three dimensions i.e. length, width and height.

False

Circle is a 2-D figure and sphere is a 3-D figure.

prism

Since, rectangular prism and cuboid refer to the same solid.

True

A rectangle is a 2-D figure and cuboid is a 3-D figure.

Since, a solid bounded by six rectangular faces is called a cuboid.

∴ Each face of a cuboid is a rectangle.

edge

The common portion of two adjacent faces of a cuboid is called edge.

2

Each of the letters H,N,S and Z has a rotational symmetry of order two.

M and N are the capital letters of English alphabets that have one line of symmetry but they interchange to each other when rotated through 180°.

(b) 2 cm, 3 cm, 4 cm

From the rule i.e. a triangle can be constructed that the sum of two sides should be greater that third side.

Consider the length of side 2 cm, 3 cm and 4 cm

2 + 3 = 5, 5 > 4

2 + 4 = 6, 6 > 5

3 + 4 = 7, 7 > 5

1. 1

2. Ruler, compasses, divider, set-squares, protractor

3. 6) 50°

Correct option is  D) A and B

1. set squares

2. 3 cm

3. 45°

Correct option is  A) 1

Correct option is   C) Protractor

In a triangle, the sum of the length of its two sides must be greater than that of the third side.

In triangle ACD,

AD + CD = 5.5 + 3 = 8.5 cm

and AC = 11 cm

⇒ AD + CD < AC which is not possible.

So, the construction is not possible.

1. Divider and compasses

2. Compass

3. two equal parts

B) two equal angles

Correct option is  B) 3.5 cm

There are total 16 faces in the given figure.

1. From the given figure, we can observe that EF is the intersection of faces EFGH and EFBA.
2. From the given figure, we can observe that faces EFBA and FBCG intersect at edge FB.
3. Faces ABFE, ADHE and ABCD form the vertex A,
4. Vertex D is formed by the faces ABCD, CDHG and ADHE.
5. The edges parallel to edge AB are CD, EF and HG.
6. From the given figure, we can observe that edges AE, EF, GH and HD are neither parallel nor perpendicular to edge BC.
7. From the given figure, we can observe that edges AE, BF, AD and BC are perpendicular to edge AB.
8. Vertices A, B, G and H do not lie in one plane.

(c) If we cut a corner of a cube, then we get cut-out of a piece in the form of triangular pyramid.

(1) Let \(\over{AB}\) be the given line segment.

(2) Adjust the compasses up to the length of \(\over{AB}\)

(3) Draw any line 1 and mark a point P on it.

(4) Put the pointer on P and without changing the setting of compasses, draw an arc to cut the line segment at point X.

(5) Now, put the pointer on point X and again draw an arc with the same radius as before, to cut the line 1 at point Q.

\(\over{PQ}\) is the required line segment.

(1) Let \(\over{PQ}\) be the given line segment.

(2) Adjust the compasses up to the length of \(\over{PQ}\).

(3) Draw any line land mark a point A on it.

(4) Put the pointer on point A, and without changing the setting of compasses, draw an arc to cut the line segment at point B.

\(\over{AB}\) is the required line segment.

(d) If we rotate a right-angled triangle of height 5 cm and base 3 cm about its base, we get a cone of height 3 cm and base 5 cm.

vertices

The corners of solid shapes are called its vertices.

True

A cylinder has 3 faces, 2 edges but no vertex.

sphere

Since, a sphere is a solid with 0 vertex, 0 edge and 1 curved surface.

False

An isometric sketch always have proportional length.

False

Order of rotational symmetry of a semi circle is one.

A parallelogram has no line of symmetry.

Order of rotational symmetry of given figure is 8.

We know that, in a complete turn (of 360°), the number of times. the figure coincides with its original position is called its order of rotational symmetry.

False

In oblique sketch of the solid, the measurements are not kept proportional.

(b) rectangular pyramid

The given figure contains rectangle base and triangle sides.

Therefore, the given figure is the combination of rectangle and triangle called rectangular pyramid.

(b) 2

In a complete turn (of 360°), the number of times. the figure coincides with its original position is called its order of rotational symmetry.

False

Order of rotational symmetry of a rhombus is two,

(c) 6

In a complete turn (of 360°), the number of times. the figure coincides with its original position is called its order of rotational symmetry.

True

The number of lines of symmetry of a regular polygon is equal to the vertices of the polygon.

In an isosceles right triangle, the number of lines of symmetry is one.