Understanding Elementary Shapes Test

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Understanding Elementary Shapes Test - 8

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Question 1
1 / -0

Straight angle is ________

A
$$\displaystyle 90^{\circ}$$

B
$$\displaystyle 180^{\circ}$$

C
$$\displaystyle 60^{\circ}$$

D
$$\displaystyle 45^{\circ}$$

Solution

A straight angle $$ = {180}^{o} $$
Question 2
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Based on the angle measures given, which triangle is not acute?

A
$$35^\circ,\, 69^\circ,\, 76^\circ$$

B
$$60^\circ,\, 60^\circ,\, 60^\circ$$

C
$$88^\circ,\, 46^\circ,\, 46^\circ$$

D
$$90^\circ,\, 45^\circ,\, 45^\circ$$

Solution

For acute angles triangle all the three angles must be less than $${ 90 }^{ \circ }$$.
In option $$D$$ one of the angle is $${ 90 }^{ \circ }$$ , so it is not acute angles triangle.
Question 3
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Number of right angles formed in the given figure is:

A
$$5$$

B
$$3$$

C
$$2$$

D
$$4$$

Solution

There are two right angles in the figure which are $$ \angle PSR $$ and $$\angle QRS $$.
Question 4
1 / -0

What is the angle formed between the two hands of a clock at the time $$3:00?$$

A
Right

B
Acute

C
Obtuse

D
Left

Solution

First, note that a clock is a circle made of $$360$$ degrees and that each number represents an angle and the separation between them is $$360/12 = 30$$. And at $$3:00,$$ the minute hand is on the $$12$$ and the hour hand is on the $$3.$$

The correct answer is $$3 * 30 = 90$$ degrees.

At $$3$$ o' clock the angle formed between the two hands of a clock is $$right \ angled$$.

Hence the correct answer is option $$A$$.
Question 5
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$$\displaystyle 91^{\circ}$$ is an example of

A
obtuse

B
acute

C
right

D
Reflex

Solution

An obtuse angle is one which is more than $$90^0$$ but less than $$180^0$$.
and hence $$\displaystyle 91^{\circ}$$ is an example of obtuse.
Question 6
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$$\displaystyle 179^{\circ}$$ is an example of

A
obtuse angle.

B
acute angle.

C
right angle.

D
None of the above

Solution

An obtuse angle is an angle which is more than $$90^o $$ but less than $$180^o$$.
Hence $$\displaystyle 179^{\circ}$$ is an example of obtuse.

Hence $$Op-A$$ is correct.
Question 7
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Number of pairs of parallel lines in a trapezium is:

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

A trapezium has one pair of parallel lines as shown in the figure. So option $$A$$ is correct.
Question 8
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$$\displaystyle 89^{\circ}$$ is an example of :

A
obtuse

B
acute

C
right

D
None of the above

Solution

Angles between $$ {0}^{o} $$ and $$ {90}^{o} $$ are acute angles. Hence, $$ {89}^{o} $$ is an acute angle.
Question 9
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Which of the following pair of shapes when joined together (by placing from edge to edge) can form a rectangle?

A

B

C

D
None of these

Solution

Properties of rectangle are :
$$\Rightarrow$$ Each of the interior angles is 90$$^\circ$$.
$$\Rightarrow$$ Opposite sides of rectangle are parallel.
$$\Rightarrow$$ Opposite sides of rectangle are equal.
$$\Rightarrow$$ So, by joining pair of shapes of option B and C we will not form rectangle because they are not satisfying all the properties of rectangle.
$$\Rightarrow$$ So, only joining pair of shapes of option A, can form a rectangle because it's satisfy all the properties of rectangle.
Question 10
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Given : AB || CD.

If $$\angle\, 2$$ is an acute angle, then $$\angle\, 1$$ is

A
Acute

B
Right

C
Obtuse

D
Straight

Solution

$$\angle 1$$ and $$\angle 2$$ are supplementary angles .
$$\Rightarrow \angle 1+\angle 2={ 180 }^{ \circ }$$
Now $$\angle 2$$ is given acute
$$\Rightarrow \angle 2<{ 90 }^{ \circ }$$
$$\Rightarrow \angle 1>{ 90 }^{ \circ }$$
So it is an obtuse angle.