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CBSE Questions for Class 6 Maths Understanding Elementary Shapes Quiz 5 - MCQExams.com
CBSE
Class 6 Maths
Understanding Elementary Shapes
Quiz 5
The ______ angles of a polygon are the angles at each vertex on the inside of the polygon.
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interior
0%
exterior
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diagonal
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curves
Explanation
The polygon is a closed curve. The angles formed by a polygon within are called interior angles.
Therefore, A is the correct answer.
If a polygon has equal angles and equal sides it is a _____ polygon.
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regular
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irregular
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curved
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none of the above
Explanation
A regular polygon has all sides and angles of equal measures.
Therefore, $$A$$ is the correct answer.
Which of the following is a regular polygon?
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Any triangle
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Equilateral traingle
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Isosceles right triange
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None of these
Explanation
A regular polygon has all sides and angles of equal measures. Only an equilateral triangle is a regular polygon.
Therefore, B is the correct answer.
The interior of a closed figure is covered by its _____.
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space
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boundary
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diagonal
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None of the above
Explanation
The interior of a closed figure is covered by its boundary.
Hence, B will be correct answer.
A line segment connecting two opposite vertices (Non-adjacent vertices) of a polygon is called a _____.
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vertices
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edge
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segment
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diagonal
Explanation
"A line segment connecting two non-adjacent vertices of a polygon is a diagonal of polygon".
Therefore, D is the correct answer.
Diagonals are
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curves
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line segments
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A or B (depends on the type of polygon)
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None of these
Explanation
They are line segments joining two opposite vertices in a polygon.
Therefore, B is the correct answer.
Square is an example of ................. polygon
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curved
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irregular
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regular
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None of the above
Explanation
All sides and angles are equal of a regular plolygon.
Therefore, $$C$$ is the correct answer
When the side of the polygon is extended, we get an angle formed by the extended side and the side of a polygon is called the _____ angle.
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interior
0%
supplementary
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complementary
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exterior
Explanation
The angle formed in the exterior of the polygon is called exterior angle.
Therefore, D is the correct answer.
................... is equilateral and equiangular.
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Rectangle
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Scalene triangle
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Square
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Kite
Explanation
All sides and angles in a square are equal, while all other three options have unequal measures.
Therefore, C is the correct answer.
Which of the following is an example of $$\text{3D}$$?
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Circle
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Sphere
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Rectangle
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Triangle
Explanation
From the given options, circle, rectangle and triangle are $$\text{2D}$$ figures.
Hence, sphere is a $$\text{3D}$$ figure.
So, option B is correct.
How many sides does a pentagon have?
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2
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5
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6
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7
Explanation
A polygon has as many angles as sides.
Like, triangle has $$3$$ angles and $$3$$ sides.
A pentagon means a polygon which has $$5$$ sides and $$5$$ angles.
Hence, option B is correct.
A polygon with minimum number of sides is called as ?
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pentagon
0%
square
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triangle
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angle
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 a polygon is called a triangle.
So, option $$C$$ is correct.
Solid figures are in:
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$$3D$$
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$$2D$$
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$$1D$$
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$$4D$$
Explanation
Solid Figures are 3 dimensional figures that have length, width and height.
Which of following is an example of 2 dimensions?
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Cuboid
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Cone
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Sphere
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Circle
Explanation
From the given options, cuboid, cube and sphere are $$3$$-dimensional objects.
Hence, circle is a $$2$$-dimensional figure.
So, option D is correct.
What is the name of the closed figure with four sides?
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Hexagon
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Triangle
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Pentagon
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Quadrilateral
Explanation
A quadrilateral is a closed figure having four sides.
Therefore, $$D$$ is the correct answer.
A parallelogram is a quadrilateral whose ...................... sides are parallel.
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adjacent
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congruent
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opposite
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linear
Explanation
A parallelogram is a quadrilateral which has $$4$$ sides whose opposite sides are equal and parallel. It has $$2$$ pairs of parallel and equal sides.
Therefore, C is the correct answer.
Plane figures are in
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$$3D$$
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$$2D$$
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$$1D$$
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$$4D$$
Explanation
The figures that can be drawn on a piece of paper are called $$2D$$ figures.
For eg., rectangle, square, circle, etc.
So, option B is correct.
A parallelogram each of whose angle measures $$90^\circ$$ is
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Rectangle
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Rhombus
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Triangle
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Trapezium
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 $$90^{o}$$.
Hence, a parallelogram each of whose angle measures $$90^{o}$$ is a rectangle.
A regular polygon with $$10$$ sides is known as ?
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Heptagon
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Decagon
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Septagon
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Octagon
Explanation
A $$10$$ sided figure is called Decagon.
Therefore, $$B$$ is the correct answer.
Which of the following are acute angles?
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a and c
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a and b
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c and d
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b and d
Explanation
From the figure it is clearly visible that 'a' and 'b' are acute angles which lies between $$\displaystyle { 0 }^{ o }$$ to $$\displaystyle { 90 }^{ o }$$.
An angle that is $$\displaystyle { 1 }^{ o }$$ less than right angle is:
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Reflex angle
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Straight angle
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Obtuse angle
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Acute angle
Explanation
Right angle measures $$\displaystyle { 90 }^{ o }$$
$$\displaystyle { 1 }^{ o }$$ less of right angle = $$\displaystyle { 90 }^{ o }-{ 1 }^{ o }$$
$$\displaystyle { 89 }^{ o }$$
Which is an acute angle.
Acute angle is the angle which is greater than $$\displaystyle { 0 }^{ o }$$ and less than $$\displaystyle { 90 }^{ o }$$.
Obtuse angle is the angle which is greater than $$\displaystyle { 90}^{ o }$$ and less than $$\displaystyle {180 }^{ o }$$.
Right angle is the angle which is equal to $$90^o$$.
Reflex angle is the angle which is greater than $$\displaystyle {180}^{ o }$$ and less than $$\displaystyle {360 }^{ o }$$.
Which one of the following is not an acute scalene triangle?
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0%
0%
0%
Explanation
Acute scalene triangle has three different angles. The last option is not an acute scalene triangle, because the three angles are equal.
Range of an obtuse angle is:
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$$[0˚, 90˚)$$
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$$(0˚, 90˚]$$
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$$[90˚, 180˚)$$
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$$(90˚, 180˚)$$
Explanation
Acute angle is the angle which is greater than $$\displaystyle { 0 }^{ o }$$ and less than $$\displaystyle { 90 }^{ o }$$.
Obtuse angle is the angle which is greater than $$\displaystyle { 90}^{ o }$$ and less than $$\displaystyle {180 }^{ o }$$.
Right angle is the angle which is equal to $$90^o$$.
Reflex angle is the angle which is greater than $$\displaystyle {180}^{ o }$$ and less than $$\displaystyle {360 }^{ o }$$.
Sum of right angles is $$\displaystyle { 720 }^{ o }$$. Find no. of right angles.
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$$8$$
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$$9$$
0%
$$10$$
0%
$$7$$
Explanation
One right angle = $$\displaystyle { 90 }^{ o }$$
Sum of right angle = $$\displaystyle { 720 }^{ o }$$
No. of right angles = $$\displaystyle \frac { { 720 }^{ o } }{ { 90 }^{ o } } ={ 8 }$$
Which of the following is obtuse angle?
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Two right angles
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One and half right angles
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One right angle
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Half a right angle
Explanation
Right angle $$=90^{\circ}$$
One and half right angle $$=\dfrac { { 90 }^{ \circ } }{ 2 } +{ 90 }^{ \circ }={ 135 }^{ \circ }$$
which is greater than $$90^{\circ}$$
So it is an obtuse angle .
Option $$B$$ is correct.
A parallelogram with equal angles is called a ..............................
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0%
triangle
0%
kite
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rectangle
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rhombus
Explanation
$$Rectangle$$ is the only parallelogram which like a parallelogram has opposite sides parallel and all angles $$equal$$.
Therefore, C is the correct answer.
What is the range of reflex angle?
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Greater than zero but less than $$\displaystyle { 90 }^{ o }$$
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Greater than $$\displaystyle { 90 }^{ o }$$ but less than $$\displaystyle { 180 }^{ o }$$
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Greater than $$\displaystyle { 180 }^{ o }$$ but less than $$\displaystyle { 360 }^{ o }$$
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Equal to $$\displaystyle { 360 }^{ o }$$
Explanation
Acute angle is the angle which is greater than $$\displaystyle { 0 }^{ o }$$ and less than $$\displaystyle { 90 }^{ o }$$.
Obtuse angle is the angle which is greater than $$\displaystyle { 90}^{ o }$$ and less than $$\displaystyle {180 }^{ o }$$.
Right angle is the angle which is equal to $$90^o$$.
Now, by definition, reflex angle is the angle which is greater than $$\displaystyle {180}^{ o }$$ and less than $$\displaystyle {360 }^{ o }$$.
That is,
angles
larger than a straight
angle
but less than $$1$$ turn (between $$180^o$$ and $$360^o$$) are called
reflex angles.
Therefore, the range of reflex angle is greater than $$180^o$$ but less than $$360^o$$.
Hence, option $$C$$ is correct.
Sum of two obtuse angle results in:
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Acute angle
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Right angle
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Obtuse angle
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Reflex angle
Explanation
Obtuse angle ranges from $$\displaystyle { 90 }^{ o }$$ to $$\displaystyle { 180 }^{ o }$$
So, sum of least obtuse angle is $$\displaystyle { 91 }^{ o }+{ 91 }^{ o }={ 182 }^{ o }$$, which is a reflex angle.
Now, sum of maximum obtuse angle is $$\displaystyle { 179 }^{ o }+{ 179 }^{ o }={ 358 }^{ o }$$, which is also a reflex angle.
Acute angle is the angle which is greater than $$\displaystyle { 0 }^{ o }$$ and less than $$\displaystyle { 90 }^{ o }$$.
Obtuse angle is the angle which is greater than $$\displaystyle { 90}^{ o }$$ and less than $$\displaystyle {180 }^{ o }$$.
Right angle is the angle which is equal to $$90^o$$.
Reflex angle is the angle which is greater than $$\displaystyle {180}^{ o }$$ and less than $$\displaystyle {360 }^{ o }$$.
Which of the following is not an obtuse angle ?
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$$\displaystyle { 127 }^{ o }$$
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$$\displaystyle { 149 }^{ o }$$
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$$\displaystyle { 175 }^{ o }$$
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$$\displaystyle { 182 }^{ o }$$
Explanation
Acute angle is the angle which is greater than $$\displaystyle { 0 }^{ \circ }$$ and less than $$\displaystyle { 90 }^{ \circ}$$.
Obtuse angle is the angle which is greater than $$\displaystyle { 90}^{ \circ }$$ and less than $$\displaystyle {180 }^{ \circ }$$.
Right angle is the angle which is equal to $$90^{\circ}$$.
Reflex angle is the angle which is greater than $$\displaystyle {180}^{ \circ }$$ and less than $$\displaystyle {360 }^{ \circ }$$.
$$\therefore \displaystyle { 182 }^{ \circ }$$ is a reflex angle, so it is not an obtuse angle.
A quadrilateral whose all sides are equal and has four right angles is called a ____ .
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0%
rectangle
0%
rhombus
0%
kite
0%
square
Explanation
A figure with all sides equal and angles also equal is a square.
Therefore, option D is the correct answer.
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