Understanding Elementary Shapes Test

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Understanding Elementary Shapes Test - 30

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Question 1
1 / -0

Identify the name of the triangle.

A
acute isosceles triangle

B
acute scalene triangle

C
acute obtuse triangle

D
acute right-angled triangle

Solution

We can see that, in the given triangle, the two angles are equal and all angles are less than $$90^{o}$$.

Hence, the given triangle is an acute isosceles triangle.
Question 2
1 / -0

The sum of two acute angles can be:

A
Acute angles

B
Obtuse angles

C
Right angles

D
All of the above

Solution

Let one angle is $$\displaystyle { 30 }^{ o }$$ and the other angle is $$\displaystyle { 40 }^{ o }$$ then sum is $$\displaystyle { 70 }^{ o }$$. which is an acute angle.
Let one angle is $$\displaystyle { 70 }^{ o }$$ and other angle is $$\displaystyle { 80 }^{ o }$$, then sum is $$\displaystyle { 150 }^{ o }$$ which is a obtuse angle.
Let one angle is $$\displaystyle { 45 }^{ o }$$ and another angle is $$\displaystyle { 45 }^{ o }$$ then sum is $$\displaystyle { 90 }^{ o }$$ which is a right angle.

So correct answer is $$(D)$$
Question 3
1 / -0

All squares are

A
rectangles

B
rhombus

C
parallelograms

D
All of these

Solution

($$1$$) Opposite sides are equal and angles are right angles so sqaure is a rectangle.
($$2$$) Diagonals bisect each other so square is a rhombus
($$3$$) Opposite sides are parallel so square is a parallelogram.
Correct answer is option (D).
Question 4
1 / -0

Identify the solid with a square base and $$4$$ triangle-shaped sides.

A
Figure 2

B
Figure 1

C
Figure 3

D
Figure 4

Solution

Figure 1 has a square base and $$4$$ triangle-shaped sides.
Figure 2 is a cube that has no triangular-shaped sides.
Figure 3 is a triangular prism that has only 2 triangular sides.
Figure 4 is a triangular pyramid that has no square base.
Question 5
1 / -0

Which one of the following is not an acute triangle?

A

B

C

D

Solution

Acute triangle has all angles less than $$90^o$$.
So, the second figure is not an acute triangle.
Question 6
1 / -0

How many faces does the given solid have?

A
$$6$$

B
$$4$$

C
$$8$$

D
$$12$$

Solution

The given figure is a cube with two triangles sliced on its two edges. A cube has $$6$$ faces and there are two triangular faces. So, there are total $$8$$ faces.
Question 7
1 / -0

Which figure is a regular hexagon?

A
figure 2

B
figure 4

C
figure 3

D
figure 1

Solution

Figure 3 is an example of regular hexagon.
Question 8
1 / -0

Identify the 2D figure.

A

B

C

D

Solution

2D figures are the figures which have only $$2$$ dimensions
Now, the figure with $$5$$ sides i.e a pentagon has $$2$$ dimensions.
So, it is a 2D figure.
Hence, pentagon is a 2D figure.
Question 9
1 / -0

Identify the solid :(matchbox)

A
Cube

B
Sphere

C
Cone

D
Cuboid

Solution

Matchbox looks like the image given above.
Since all the edges are not same, it is a cuboid.
Question 10
1 / -0

What type of angle is angle X?

A
Acute

B
Obtuse

C
Right

D
Straight

Solution