Practical Geometry Test

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Practical Geometry Test - 1

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Question 1
1 / -0

The quadrilateral whose opposite sides are parallel is a ___________.

A
Parallelogram

B
Triangle

C
None of these

D
Quadrilateral

Solution

Explanation:

A parallelogram is a simple quadrilateral with two pairs of parallel sides.The opposite sides of a parallelogram are parallel an equal in length.
Question 2
1 / -0

Polygons that have no portions of their diagonals in their exteriors are called ____________.

A
concave

B
convex

C
squares

D
triangles

Solution

Explanation:

Polygons that does not have any portion of diagonals in the exterior of polygon are called Convex Polygons.
Question 3
1 / -0

A polygon with minimum number of sides is ______________.

A
triangle

B
angle

C
square

D
pentagon

Solution

Explanation:

As we know a polygon is a closed loop formed by line segments. So, to form a closed loop, minimum 3 sides are required and a polygon with 3 sides is known as triangle. Thus, a polygon with minimum number of sides is Triangle.
Question 4
1 / -0

All the sides of a regular polygon are _________________.

A
not equal

B
equal

C
not parallel

D
parallel

Solution

Explanation:

Polygons are a simple closed curves made up of line segments of equal lengths.
Question 5
1 / -0

A simple closed curve made up of only _____________ is called a polygon .

A
line segments

B
curves

C
lines

D
closed curves

Solution

Explanation:

A Polygon is defined as a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygon chain.
Question 6
1 / -0

The park in a town is made in the form of a kite. Its perimeter is 90 metres and one side is 10 m more than other side. What are the lengths of all sides?

A
20 m, 20 m, 29 m and 29 m

B
20 m, 20 m, 27.5 m and 27.5 m

C
17.5 m, 17.5 m, 29 m and 29 m

D
17.5 m, 17.5 m, 27.5 m and 27.5 m

Solution

Explanation:

Let, the two different sides of park be 'a' m and 'b' m respectively.

Given that, Parallelogram of park = 90m

⟹⟹ 2 (a + b) = 90 m ⟹⟹ a + b = 45 m --------------------(i)

Also, it is given that, one side is more than other by 10m, i.e. a = b + 10 ----------(ii)

From eq. (i) & (ii), we get,

b + 10 + b = 45 m ⟹⟹ 2b = 35 m ⟹⟹ b = 17.5 m

Putting the value of b in eq. (ii), we get,

a = 17.5 + 10 = 27.5 m

Thus, the four sides of the park are 17.5 m, 17.5 m, 27.5 m, 27.5 m.
Question 7
1 / -0

The ratio of two adjacent sides of a parallelogram is 4:5. If its perimeter is 72 cm, find its adjacent sides.

A
18 cm and 25 cm

B
18 cm and 20 cm

C
16 cm and 20 cm

D
16 cm and 25 cm

Solution

Explanation:

Let, two adjacent sides of a parallelogram be of length 'a' cm and 'b' cm respectively.

Given that , Perimeter of parallelogram = 72 cm

⟹⟹ 2(a + b) = 72cm ⟹⟹ a+b = 36 cm ---------------(i)

Also, It is given that, a:b = 4:5 ⟹⟹ a = 4/5b ----------------(ii)

From eq. (i) & (ii), we get,

4/5b + b = 36cm ⟹⟹ 4b + 5b = 180 cm ⟹⟹9b = 180 cm ⟹⟹ b = 20 cm

putting value of b in eq. (ii), we get,

a = 16 cm.

Thus, two adjacent sides of parallelogram are 20cm, 16cm.
Question 8
1 / -0

The quadrilateral whose diagonals are equal and bisect each other at right angle is ________.

A
Triangle

B
Rhombus

C
Square

D
None of these

Solution

Explanation:

A square is a regular quadrilateral which has four equal sides and equal angles each of 90⁰. The diagonals of a square are also equal and bisect each other at 90⁰.
Question 9
1 / -0

All the angles of a regular polygon are of ________________.

A
equal measure

B
90^∘

C
60^∘

D
equal length

Solution

Explanation:

As we know that, the sides of a regular polygon are equal and also we know, the angles opposite to equal sides are equal. So, all the angles of a polygon are of equal measure.
Question 10
1 / -0

Maximum number of right angles in a right angled triangle are____________.

A
0

B
3

C
2

D
1

Solution

Explanation:

As we know that, the sum of the three interior angles of a triangle is 180⁰.

In a right angle triangle, one angle will be of 90⁰. Thus, the remaining two angles should have sum of 90⁰. So, any other angle can not be of 90⁰.

That's why, the maximum number of right angles in a right angle triangle is 1.

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Practical Geometry Test - 1

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Question 1

Parallelogram

Triangle

None of these

Quadrilateral

Solution

Question 2

concave

convex

squares

triangles

Solution

Question 3

triangle

angle

square

pentagon

Solution

Question 4

not equal

equal

not parallel

parallel

Solution

Question 5

line segments

curves

lines

closed curves

Solution

Question 6

20 m, 20 m, 29 m and 29 m

20 m, 20 m, 27.5 m and 27.5 m

17.5 m, 17.5 m, 29 m and 29 m

17.5 m, 17.5 m, 27.5 m and 27.5 m

Solution

Question 7

18 cm and 25 cm

18 cm and 20 cm

16 cm and 20 cm

16 cm and 25 cm

Solution

Question 8

Triangle

Rhombus

Square

None of these

Solution

Question 9

equal measure

90∘

60∘

equal length

Solution

Question 10

0

3

2

1

Solution

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