Understanding Elementary Shapes Test

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Understanding Elementary Shapes Test - 27

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Question 1
1 / -0

All the angles of a quadrilateral are equal. What special name is given to this quadrilateral?

A
Rectangle

B
Trapezium

C
Rhombus

D
Parallelogram

Solution

We know that the sum of the angles of the quadrilateral is $$360^{o}$$
Now, the quadrilateral in given question has all angles equal.
$$ \therefore$$ Each angle $$={ 360 }^{ o }\div 4={ 90 }^{ o }$$
So, this quadrilateral would be rectangle or a square.
Question 2
1 / -0

Which of the following is true?
(i) A triangle can have two right angles.
(ii) A triangle can have all angles less than $$60^o$$.
(iii) A triangle can have two acute angles.

A
Only (ii)

B
Only (i)

C
Only (iii)

D
All are true

Solution

(i) If the triangle has two right angles, the sum of angles of the triangle will be more than $$180^{\circ}$$, which is not possible.
(ii) If the triangle has all the angles less than $$60^{\circ}$$, the sum of the triangle will be less than $$180^{\circ}$$, which is not possible.
(iii) Thus, the only possibility is the triangle has two acute angles.
Question 3
1 / -0

Identify the correct construction of the

division of $$\bar{PQ}$$

into three parts.

A

B

C

D
Question 4
1 / -0

Look at the pairs of shapes Which is a pair of rectangles?

A

B

C

D

Solution

Option B shows rectangle.
Hence, the answer is Option B.
Question 5
1 / -0

Which of the following statement(s) is/are false with respect to quadrilateral?

A
Each diagonal of a quadrilateral divides it into two triangles.

B
Each side of a quadrilateral is less than the sum of the remaining three sides.

C
A quadrilateral can at-most have three obtuse angles.

D
A quadrilateral has four diagonals.

Solution

Option A is true. As each diagonal of a quadrilateral divides it into two triangles.
Option B is also correct as it is not possible to construct a quadrilateral with one side greater than the sum of three other sides.
Option C is also true. A quadrilateral can at most have three obtuse angles. All the four angles cannot be obtuse and sum of 4 angles of a quadrilateral is $$360^\circ$$.
Option D is incorrect. A quadrilateral does not have four diagonals.
A quadrilateral has exactly two diagonals.
So, option (D) is false
Question 6
1 / -0

Complete the following statement .
Number of measurements required to construct a rectangle are_______.

A
4

B
3

C
2

D
1

Solution

If we know the length and breadth of the rectangle, we can construct it since a rectangle has opposite sides equal in length and each of the four angles is equal to $$ {90}^{0} $$
Hence, number of measurements required to construct a rectangle is $$2$$.
Question 7
1 / -0

Which of the following is different from the other three?

A

B

C

D

Solution

From the given figures we can see that,

$$\Rightarrow$$ Option $$A$$ has five sides, so its a pentagon

$$\Rightarrow$$ So, Option $$B, C$$ and $$D$$ are types of quadrilateral.

$$\Rightarrow$$ Thus we can prove that option A is different from the other three.
Question 8
1 / -0

A quadrilateral in which only one pair of opposite sides are parallel is called a ..........

A
square

B
rectangle

C
rhombus

D
trapezium

Solution

$$\Rightarrow$$ We know that in square, rectangle and rhombus two pairs of opposite sides are parallel, so answer can not be square, rectangle or rhombus.
$$\Rightarrow$$ We also know the properties of trapezium in which only one pair of opposite sides are equal.
$$\Rightarrow$$ So, correct answer is option D trapezium.
Question 9
1 / -0

When the clock shows time $$5:20$$, the angle formed between the two hands is

A
obtuse

B
right

C
acute

D
none of these

Solution

Angles

between $$ {0}^{o} $$ and $$ {90}^{o} $$ are acute angles.

Since at the time $$ 5:20$$, the hands of the clock form an angle less than $$ {90}^{o} $$, the angle formed between the two hands is an acute angle.
Question 10
1 / -0

Choose the correct statement from the following.

A
A triangle has 3 sides and 4 vertices

B
A solid cylinder has 3 faces

C
All sides of the rectangle are equal

D
A cuboid has 4 flat faces and 12 straight edges

Solution

A. A triangle has $$3$$ sides and $$3$$ vertices.
B. A cylinder has $$3$$ faces - two circular faces at the two ends and the third a curved face.
$$\textbf{Statement B is correct.}$$
C. Only opposite sides of a rectangle are equal.
D. A cuboid has $$6$$ flat faces and $$12$$ edges.