Practical Geometry(6th Grade > Mathematics ) Questions and answers for exam Preparation

6th Grade > Mathematics

PRACTICAL GEOMETRY MCQs

Total Questions : 94 | Page 4 of 10 pages

Question 31. Draw an angle

135^{\circ}

and divide it into four parts. [4 MARKS]

Discuss Question

:
Construction of angle: 1 Mark
Division into 4 parts: 2 Marks
Steps: 1 Mark
i) Make an angle

135^{\circ}

using a protractor.
ii) With the centre as O. Draw a small arc AB.
iii) With A and B as centre draw arcs of radius more than half of AB at C.
iv)In the same way, draw arcs taking the centre as B and D at F and with centres at A and D at E.
v) Join OE, OC, OF.

Draw An Angle 135∘ and Divide It Into four Parts. [4 M...

Question 32. Which is the easiest and most accurate method to copy a given line segment AB?

Tracing it using a transparent paper
Using a ruler
Using a compass and ruler
Using a set square of (30∘−60∘−90∘)

Discuss Question

Answer: Option C. -> Using a compass and ruler
:
C
Tracing the line may not give accurate result. Similarly, measuring using a ruler may give wrong results depending upon the angle of viewing. Using a compass and a ruler would be the easiest and most accurate method to copy a given line segment AB.

Question 33. It is possible to construct an angle equal to

{7.5}^{\circ}

using compass and ruler.

True
False
Set Square (30∘-60∘-90∘)
Set Square (45∘-45∘-90∘)

Discuss Question

Answer: Option A. -> True
:
A
It is possible to construct an angle equal to

{7.5}^{\circ}

using compass and ruler.
Steps to draw are:
·Draw an angle of

60^{\circ}

using compass and ruler.
·Bisect it to get

30^{\circ}

.
·Bisect it to get

15^{\circ}

.
·Bisect it to get

{7.5}^{\circ}

.
So we can construct an angle of

{7.5}^{\circ}

Question 34. If you have two

30^{\circ}

60^{\circ}

90^{\circ}

set squares, which of the following shapes is impossible to get using them?

Parallelogram
Pentagon
Rhombus
Rectangle

Discuss Question

Answer: Option C. -> Rhombus
:
C
You know that a rectangle is a parallelogram. In the figures below, we can see that we can make rectangles and also a parallelograms. Also we can make a pentagon. But making a rhombus is impossible by using

2

set squares having

30^{\circ}

60^{\circ}

90^{\circ}

angles.

If You Have Two 30∘- 60∘ - 90∘ Set Squares, Which Of ...

Question 35. If AB is perpendicular to CD and PQ is perpendicular to AB, which of the following is/are true?

CD is parallel to PQ
CD is perpendicular to PQ
Both A & B
None of the above

Discuss Question

Answer: Option A. -> CD is parallel to PQ
:
A
If you draw everything according to the given question, you would get:

If AB Is Perpendicular To CD And PQ Is Perpendicular To AB, ...

We can see that PQ is parallel to CD or vice-versa.

Question 36. Draw a circle with center O with radius 5 cm. Draw any one of the diameters. With same center A, draw another circle with radius 3 cm. Draw any one of the diameters for this circle too. If you join the ends of both the diameters, the figure you will get is:

Parallelogram
Rectangle
Square
Trapezium

Discuss Question

Answer: Option A. -> Parallelogram
:
A
Draw the circles and the diameters. You will get:

Draw A Circle With Center O with Radius 5 Cm. Draw Any One ...

If you mark the diameter of smaller circle as AB and larger circle as CD, after joining them you will get:

Fig. ABCD is a parallelogram. When AB is perpendicular to CD, ABCD becomes a rhombus.

Question 37. Draw a line AB. At A, draw an arc of length

3 c m

using compass such that it intersects AB at O. With the same spread of compass, put the compass pointer at O and make an arc that intersects the previous arc at P. With the same spread again, put the compass pointer at P and draw an arc that intersects the first arc at Q. Join A and Q. Using the protractor, measure

∠ Q A B

. What is the value of

∠ Q A B

30∘
60∘
90∘
120∘

Discuss Question

Answer: Option D. -> 120∘
:
D
If you follow all the steps, you would get this:

Draw A Line AB. At A, Draw An Arc Of Length 3cm Using Compas...

If you measure

∠ Q A B

, the value which you would get is

120^{\circ}

Question 38. If

∠

XYZ =

90^{\circ}

∠ X Y Z

is also known as a/an ___ angle.

Discuss Question

∠ X Y Z

is also known as a right angle if it is equal to

90^{\circ}

Question 39. Which is the easiest and most accurate method to copy a given line segment PQ?

Tracing it using a transparent paper
Using a ruler
Using a compass and ruler
Using a set square of (30∘−60∘−90∘)

Discuss Question

Question 40. Which of the following is an example of perpendicular lines?
1. Corners of your circular room floor
2. One of the angles in both your set squares
3. Angle included between the hour hand and minute hand when it is

12 : 15

in your wall clock

1
2
2 and 3
1 and 3

Discuss Question

Answer: Option B. -> 2
:
B
There are no corners in a circular floor! The 2 set squares that you have are both right angled triangles. So, one of the angles is