Basic Geometrical Ideas Test

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Basic Geometrical Ideas Test - 19

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Question 1
1 / -0

Plane figure with three sides is called

A
rectangle

B
triangle

C
quadrilateral

D
none of these

Solution

A plane figure can be made of straight lines, curved lines, or both straight and curved lines. Triangle is a plane figure which is made up of three line segments or sides.
Hence, B will be correct answer.
Question 2
1 / -0

Plane figure with five sides is known as

A
octagon

B
hexagon

C
pentagon

D
none of these

Solution

A plane figure can be made of straight lines, curved lines, or both straight and curved lines. Pentagon is a plane figure which is made up of five line segments.
Hence, C will be correct answer.
Question 3
1 / -0

Where does the vertex of an angle lie?

A
In its interior

B
In its exterior

C
On the angle

D
None of these

Solution

The common initial point is known as vertex of the angle. Hence, it lies on the angle
Question 4
1 / -0

The number of angles in figure is

A
$$3$$

B
$$4$$

C
$$5$$

D
$$6$$

Solution

Possible angle form by given figure are
$$\angle AOB,\angle AOC,\angle AOD,\\\angle BOC,\\\angle BOD,\angle COD$$.
So, there are total $$6$$ total angles formed
Hence, option $$D$$ is correct
Question 5
1 / -0

In figure, $$\angle XYZ$$ cannot be written as

A
$$\angle Y$$

B
$$\angle ZXY$$

C
$$\angle ZYX$$

D
$$\angle XYP$$

Solution

$$\angle XYZ$$ can be written as $$\angle XYP,\angle XYZ,\angle Y,\angle ZYX,\angle PYX\quad $$
They all represent same angle with different naming style.
But, $$\angle ZXY$$ does not represent this angle, it is other angle because there is $$X$$ in center of this angle.
So, option $$B$$ is correct.
Question 6
1 / -0

Number of line segments in figure is

A
$$5$$

B
$$10$$

C
$$15$$

D
$$20$$

Solution

Given
Number of points $$=5$$

We know that
Number of line segments $$=\dfrac{n\times(n-1)}2$$
where $$n=$$ number of points.

$$\therefore $$ Number of line segments in the given line$$=\dfrac{5\times(5-1)}2$$
$$=\dfrac{5\times 4}2=\dfrac{20}2=10$$
Question 7
1 / -0

A polygon has a prime number of sides. Its number of sides is equal to the sum of the two least consecutive primes. The number of diagonals of the polygon is

A
$$4$$

B
$$5$$

C
$$7$$

D
$$10$$

Solution

Given
Number of sides in the polygon $$=$$ sum of the two least consecutive primes
$$=2+3$$ ($$\because$$ $$2$$ and $$3$$ are least consecutive prime number)
$$=5$$
We know that
The number of diagonal $$=\dfrac { n(n-3) }{ 2 }$$ where, $$n=$$ no. of sides
$$= \dfrac { 5\times (5-3) }{ 2 } =5$$
Question 8
1 / -0

The number of diagonals in a spetagon is

A
$$21$$

B
$$42$$

C
$$7$$

D
$$14$$

Solution

Number of the diagonal in a polygon, where $$n$$ isnumber of side of a polygon is $$\cfrac{n(n-3)}2$$
Septagon has $$7$$ sides, number of sides in a septagon $$n=7$$
$$\therefore\text{Number of diagonals in septagon}= \cfrac { 7(7-3) }{ 2 } =\cfrac { 7\times 4 }{ 2 } = 7\times 2=14$$
So, option $$D$$ is correct.
Question 9
1 / -0

The closed curve which is also a polygon is

A

B

C

D

Solution

A polygon is a simple closed curve made up of line segments. Hence, option $$A$$ is correct.
Question 10
1 / -0

In Fig. which of the following is a regular polygon?

A
(i)

B
(ii)

C
(iii)

D
(iv)

Solution

Option $$B$$ is right
For a regular polygon, all sides and all angle must be equal to each other.
And, only figure $$(ii)$$ follows this condition.