Understanding Elementary Shapes Test

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Understanding Elementary Shapes Test - 17

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Question 1
1 / -0

Sum of right angles is $$\displaystyle { 720 }^{ o }$$. Find no. of right angles.

A
$$8$$

B
$$9$$

C
$$10$$

D
$$7$$

Solution

One right angle = $$\displaystyle { 90 }^{ o }$$
Sum of right angle = $$\displaystyle { 720 }^{ o }$$
No. of right angles = $$\displaystyle \frac { { 720 }^{ o } }{ { 90 }^{ o } } ={ 8 }$$
Question 2
1 / -0

A parallelogram with equal angles is called a ..............................

A
triangle

B
kite

C
rectangle

D
rhombus

Solution

$$Rectangle$$ is the only parallelogram which like a parallelogram has opposite sides parallel and all angles $$equal$$.
Therefore, C is the correct answer.
Question 3
1 / -0

Which of the following is obtuse angle?

A
Two right angles

B
One and half right angles

C
One right angle

D
Half a right angle

Solution

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.
Question 4
1 / -0

What is the range of reflex angle?

A
Greater than zero but less than $$\displaystyle { 90 }^{ o }$$

B
Greater than $$\displaystyle { 90 }^{ o }$$ but less than $$\displaystyle { 180 }^{ o }$$

C
Greater than $$\displaystyle { 180 }^{ o }$$ but less than $$\displaystyle { 360 }^{ o }$$

D
Equal to $$\displaystyle { 360 }^{ o }$$

Solution

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.
Question 5
1 / -0

Sum of two obtuse angle results in:

A
Acute angle

B
Right angle

C
Obtuse angle

D
Reflex angle

Solution

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 $$\displaystyle {360 }^{ o }$$.
Question 6
1 / -0

Which of the following is not an obtuse angle ?

A
$$\displaystyle { 127 }^{ o }$$

B
$$\displaystyle { 149 }^{ o }$$

C
$$\displaystyle { 175 }^{ o }$$

D
$$\displaystyle { 182 }^{ o }$$

Solution

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.
Question 7
1 / -0

A quadrilateral whose all sides are equal and has four right angles is called a ____ .

A
rectangle

B
rhombus

C
kite

D
square

Solution

A figure with all sides equal and angles also equal is a square.
Therefore, option D is the correct answer.
Question 8
1 / -0

How many parallel and congruent bases does a cylinder have?

A
4

B
3

C
1

D
2

Solution

A cylinder is a space figure with two circular, parallel and congruent bases.
Question 9
1 / -0

How many faces does a cuboid have?

A
$$4$$

B
$$6$$

C
$$8$$

D
None of the above.

Solution

A cuboid is a $$3-D$$ solid object bounded by $$6$$ rectangular faces, with three faces meeting at each vertex.
Hence, a cuboid has $$6$$ faces.
Question 10
1 / -0

How many faces does a cube have?

A
$$4$$

B
$$6$$

C
$$8$$

D
None

Solution

Cube is a 3D solid object bounded by six square faces with three meeting at each vertex.
Hence a cube has $$6$$ faces.

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Re-Attempt Weekly Quiz Competition

Understanding Elementary Shapes Test - 17

Result

Understanding Elementary Shapes Test - 17

Score

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SHARING IS CARING

Question 1

$$8$$

$$9$$

$$10$$

$$7$$

Solution

Question 2

triangle

kite

rectangle

rhombus

Solution

Question 3

Two right angles

One and half right angles

One right angle

Half a right angle

Solution

Question 4

Greater than zero but less than $$\displaystyle { 90 }^{ o }$$

Greater than $$\displaystyle { 90 }^{ o }$$ but less than $$\displaystyle { 180 }^{ o }$$

Greater than $$\displaystyle { 180 }^{ o }$$ but less than $$\displaystyle { 360 }^{ o }$$

Equal to $$\displaystyle { 360 }^{ o }$$

Solution

Question 5

Acute angle

Right angle

Obtuse angle

Reflex angle

Solution

Question 6

$$\displaystyle { 127 }^{ o }$$

$$\displaystyle { 149 }^{ o }$$

$$\displaystyle { 175 }^{ o }$$

$$\displaystyle { 182 }^{ o }$$

Solution

Question 7

rectangle

rhombus

kite

square

Solution

Question 8

4

3

1

2

Solution

Question 9

$$4$$

$$6$$

$$8$$

None of the above.

Solution

Question 10

$$4$$

$$6$$

$$8$$

None

Solution

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