Practical Geometry Test

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Practical Geometry Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following instruments can be used to draw any angle of a given measure?

A
Ruler

B
Set Square

C
Protractor

D
Divider

Solution

A. The ruler is used for measuring the length of anything.

B. Set square is used to draw particular angles such as 90, 60, 30 degrees.

C. Protractor is used to measure an angle or can be used to draw an angle of a given measure.

D. The divider is used to transfer the measured distances.

So option $$C$$ is correct.
Question 2
1 / -0

Which of the following angles can be constructed using a protractor?

A
$$45.6^\circ$$

B
$$29.8^\circ$$

C
$$67.3^\circ$$

D
$$37^\circ$$

Solution

Least count of protractor is $$1^{\circ}$$ that is minimum $$1^{\circ}$$ angle can be constructed using a protractor.
We can simply say angles constructed using protractor are of integral values.
So only $$37^{\circ}$$ can be constructed using protractor.
Question 3
1 / -0

Which of the following angles cannot be constructed using a protractor?

A
$$45^\circ$$

B
$$34.6^\circ$$

C
$$60^\circ$$

D
$$27^\circ$$

Solution

Least count of protractor is $$1^{\circ}$$ that is minimum $$1^{\circ}$$ angle can be constructed using a protractor.
We can simply say angles constructed using protractor are of integral values.
So $$34.6^{\circ}$$ can not be constructed using protractor.
Question 4
1 / -0

Which of the following angles is possible to construct using a compass?

A
$$60^\circ$$

B
$$32^\circ$$

C
$$51.25^\circ$$

D
$$49^\circ$$

Solution

An angle of $$60^{\circ}$$ can be constructed using a compass.
Step 1 : Make a compelete arc on a straight line.
Step 2 : Make an arc on the previous arc with the same opening of compass from the start point of previous arc.
Step 3: Draw a line through the centre of arc and point of intersection.
Question 5
1 / -0

Which of the following line segments can be drawn with the help of a ruler and compass ?

A
$$1.234\ cm$$

B
$$2.15\ cm$$

C
$$2.5\ cm$$

D
$$3.04\ cm$$

Solution

Least count of normal scale is $$.1\ \ cm$$ that is minimum length that can be measured using a normal scale is $$.1\ \ cm$$
So only $$2.5 \ \ cm$$ can be measured using a ruler and compass.
Hence option $$C$$ is correct.
Question 6
1 / -0

Directions For Questions

The following are the jumbled steps to construct a perpendicular from a point $$P$$ on line $$AB$$. $$(P$$ lies on line $$AB)$$.
1. From points $$C$$ and $$D$$, mark two intersecting arcs on either side of the line $$AB$$. Name the intersection point as $$E$$.
2. From point $$P$$, mark two equidistant points from $$P$$ on line $$AB$$, and name them as $$C$$ and $$D$$.
3. Join $$E$$ and $$P$$. $$EP$$ is the required perpendicular.
4. Draw segment $$AB$$ and take any point $$P$$ on it.

...view full instructions

The first step in the process will be:

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

Correct sequence of steps is :
Step 1: Draw segment $$AB$$ and take a point $$P$$ on it.
Step 2: From point $$P$$, mark two equidistant points from $$P$$ on line $$AB$$, and name them $$C$$ and $$D$$
Step 3 : From points $$C$$ and $$D$$ mark two intersecting arcs on either side of the line $$AB$$.Name the intersection point as $$E$$
Step 4: Join $$E$$ and $$P$$. $$EP$$ is the required perpendicular.
So the first step is $$4$$
So option $$D$$ is correct.
Question 7
1 / -0

To construct a line segment of a given length, which of the following pairs of instruments are needed?

A
Ruler and Protractor

B
Ruler and Compass

C
Compass and Divider

D
Protractor and Divider

Solution

A line can be constructed using a Ruler and a Compass.
So option $$B$$ is correct.
Question 8
1 / -0

In order to duplicate a given angle, which of the following instruments can be used?

A
Compass

B
Set Square

C
Protractor

D
Divider

Solution

A Compass can be used to make the duplicate of any angle. A protractor can also be used to duplicate angles but only of integral values.
So option $$A$$ is correct.
Question 9
1 / -0

Which of the following angles is not possible to duplicate using a compass?

A

B

C

D
None of these

Solution

Copy of any angle can be constructed using a compass.
So option $$D$$ is correct.
Question 10
1 / -0

Directions For Questions

The steps for construction for an $$\angle PQR$$ of measure $$90^\circ$$ are given in jumbled order below:
1. Mark a point $$B$$ on the same arc with the same radius from point $$A$$. Similarly, mark a point $$C$$ from $$B$$.
2. Join $$Q-D$$ and extend it to obtain ray $$QP$$.
3. Draw ray $$QR$$.
4. Place the pointed end of the compass on $$Q$$ and draw a semi-circular arc with an arbitrary radius.
5. Draw two intersecting arcs from $$B$$ and $$C$$ and mark the intersection point as $$D$$.

...view full instructions

The last step in the process is:

A
$$1$$

B
$$2$$

C
$$4$$

D
$$5$$

Solution

Correct sequence is
Step 1. Draw a ray $$QR$$
Step 2. Place the pointed end of the compass on $$Q$$ and draw a semi circular arc with arbitrary radius.
Step 3.Mark a point $$B$$ on the same arc with the same radius from point $$A$$. Similarly , mark a point $$C$$ from $$B.$$
Step 4. Draw two intersecting arcs from $$B$$ and $$C$$ and mark the intersection as point $$D$$.
Step 5. Join $$Q-D$$ and extend it to obtain $$QP.$$
So the last step is $$2$$
Option $$B$$ is correct.

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Practical Geometry Test - 3

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Practical Geometry Test - 3

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SHARING IS CARING

Question 1

Ruler

Set Square

Protractor

Divider

Solution

Question 2

$$45.6^\circ$$

$$29.8^\circ$$

$$67.3^\circ$$

$$37^\circ$$

Solution

Question 3

$$45^\circ$$

$$34.6^\circ$$

$$60^\circ$$

$$27^\circ$$

Solution

Question 4

$$60^\circ$$

$$32^\circ$$

$$51.25^\circ$$

$$49^\circ$$

Solution

Question 5

$$1.234\ cm$$

$$2.15\ cm$$

$$2.5\ cm$$

$$3.04\ cm$$

Solution

Question 6

$$1$$

$$2$$

$$3$$

$$4$$

Solution

Question 7

Ruler and Protractor

Ruler and Compass

Compass and Divider

Protractor and Divider

Solution

Question 8

Compass

Set Square

Protractor

Divider

Solution

Question 9

None of these

Solution

Question 10

$$1$$

$$2$$

$$4$$

$$5$$

Solution

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