Practical Geometry Test

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Practical Geometry Test - 5

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Question 1
1 / -0

The steps of construction of an $$\angle AOB=45^{o}$$ is given in jumbled order below:
1. Place compass on intersection point.
2. Place ruler on start point and where arc intersects perpendicular line.
3. Adjust compass width to reach start point.
4. Construct a perpendicular line.
5. Draw $$45$$ degree line.
6. Draw an arc that intersects perpendicular line.
The third step in process is:

A
$$2$$

B
$$3$$

C
$$4$$

D
$$5$$
Question 2
1 / -0

The steps for constructing a line segment of given length are given in a jumbled order below:
1. Draw an arc on the line by keeping the pointed end of the compass on the point $$A$$. Mark the arc point as $$B$$.
2. Draw a line.
3. Extend the compass by keeping one end on the $$0\ cm$$ mark and other at the given length on the ruler.
4. Take a point $$A$$ anywhere on the line.

Which of the above steps comes first?

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

Correct sequence is :
Step 1. Draw a line.
Step 2. Take a point $$A$$ anywhere on the line.
Step 3. Extend the compass by keeping one end on the $$0 \ \ cm$$ and other at the given length on the ruler.
Step 4. Draw an arc on the line by keeping the pointed end of the compass on the point $$A$$. Mark the arc as point $$B.$$
So the first step is $$2$$
Option $$B$$ is correct.
Question 3
1 / -0

Construct a line segment of length 8.4 cm. Divide this line into 3 equal parts and find the length of each part.

A
$$2.4\ cm$$

B
$$4.2\ cm$$

C
$$1.8\ cm$$

D
$$2.8\ cm$$
Question 4
1 / -0

Construct an angle of measure $$70^{o}$$, then half of that angle will be :

A
$$30^{o}$$

B
$$35^{o}$$

C
$$40^{o}$$

D
$$45^{o}$$

Solution

we know that
$$\dfrac{1}{2} \times 70^{\circ} = 35^{\circ}$$
Steps of construction :
1. Draw the arm $$PQ $$.
2.Place the point of the compass at $$P$$ and draw an arc that passes through$$Q$$.
3. Place the point of the compass at $$Q$$ and draw an arc that cuts the arc drawn in Step 2 at $$R$$.
4. With the point of the compass still at $$Q$$ , draw an arc near $$T$$ as shown.
5. With the point of the compass at $$R$$ , draw an arc to cut the arc drawn in Step 4 at $$T $$.
6. Join $$T $$ to $$P$$ . The angle $$\angle QPT = 35^{\circ}$$
Question 5
1 / -0

The angle made between the lines by drawing perpendicular bisector of a line segment is :

A
$$90^{o}$$

B
$$45^{o}$$

C
$$30^{o}$$

D
$$15^{o}$$

Solution

Perpendicular bisector bisects a line segment into $$4$$ right angles, measures $$90^\circ$$ each.
Hence angle made between lines is $$90^\circ$$.
Question 6
1 / -0

The steps for constructing a line segment of given length are given in a jumbled order below:
1. Draw an arc on the line by keeping the pointed end of the compass on the point $$A$$. Mark the arc point as $$B$$.
2. Draw a line.
3. Extend the compass by keeping one end on the $$0\ cm$$ mark and other at the given length on the ruler.
4. Take a point $$A$$ anywhere on the line.

Which of the above steps comes second?

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

Correct sequence is :
Step 1. Draw a line.
Step 2. Take a point $$A$$ anywhere on the line.
Step 3. Extend the compass by keeping one end on the $$0 \ \ cm$$ and other at the given length on the ruler.
Step 4. Draw an arc on the line by keeping the pointed end of the compass on the point $$A$$. Mark the arc as point $$B.$$
So the second step is $$4$$
Option $$D$$ is correct.
Question 7
1 / -0

Construct a line $$AB=6.5\ cm$$. What will be the $$\dfrac{1}{5}$$th of $$AB$$ ?

A
$$4.2\ cm$$

B
$$3.5\ cm$$

C
$$2.4\ cm$$

D
$$1.3\ cm$$

Solution

Draw a line segment $$AB$$ of length $$6.5\ \ cm$$
$$\dfrac { 1 }{ 5 } AB=\dfrac { 1 }{ 5 } \times 6.5=1.3\ \ cm$$
So option $$D$$ is correct.
Question 8
1 / -0

The steps for constructing a line segment of given length are given in a jumbled order below:
1. Draw an arc on the line by keeping the pointed end of the compass on the point $$A$$. Mark the arc point as $$B$$.
2. Draw a line.
3. Extend the compass by keeping one end on the $$0\ cm$$ mark and other at the given length on the ruler.
4. Take a point $$A$$ anywhere on the line.

Which of the above steps comes third?

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

Step 1 $$:$$ Draw a line .
Step 2 $$:$$ Take point $$A$$ anywhere on the line .
Step 3 $$:$$ Extend the compass by keeping one end on the $$0\ \ cm$$ mark at the given length of the rule.
Step 4 $$:$$ Draw an arc on the line by keeping the pointed end of the compass on the point $$A$$ .Mark the arc point as $$B$$
So $$3$$ is the third step .Option $$C$$ is correct.
Question 9
1 / -0

Construct a line segment of length $$4.6\ \text{cm}$$. Divide this line into $$2$$ equal parts and find the length of each part.

A
$$2.0\ \text{cm}$$

B
$$2.1\ \text{cm}$$

C
$$2.2\ \text{cm}$$

D
$$2.3\ \text{cm}$$

Solution

steps of construction :
1 . draw a line of length 4.6 cm using a ruler.
2. Place the compass at one end of the line segment.
3 . Adjust the compass to slightly longer than half the line segment length.
4. Draw arcs above and below the line.
5 . Keeping the same compass width, draw arcs from another end of the line.
6 . Place ruler where the arcs cross and draw the line segment.
7. drawn line segment cuts the initial line segment into two equal parts.
8. measure the bisected length using ruler that comes out be $$= \dfrac{1}{2} \times 4.6 = 2.3 \text{ cm}$$
Question 10
1 / -0

Draw a line $$AB=7.8\ cm$$, what will be the $$\dfrac{2}{3}$$rd of $$AB$$.

A
$$11.7\ cm$$

B
$$5.2\ cm$$

C
$$3.9\ cm$$

D
$$2.6\ cm$$

Solution

Draw a line segment $$AB$$ of $$7.8\ \ cm$$ using ruler
.$$\dfrac{2}{3}AB=$$ $$=\dfrac { 2 }{ 3 } \times 7.8=5.2 \ cm$$
Option $$B$$ is correct.

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Practical Geometry Test - 5

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Practical Geometry Test - 5

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SHARING IS CARING

Question 1

$$2$$

$$3$$

$$4$$

$$5$$

Question 2

$$1$$

$$2$$

$$3$$

$$4$$

Solution

Question 3

$$2.4\ cm$$

$$4.2\ cm$$

$$1.8\ cm$$

$$2.8\ cm$$

Question 4

$$30^{o}$$

$$35^{o}$$

$$40^{o}$$

$$45^{o}$$

Solution

Question 5

$$90^{o}$$

$$45^{o}$$

$$30^{o}$$

$$15^{o}$$

Solution

Question 6

$$1$$

$$2$$

$$3$$

$$4$$

Solution

Question 7

$$4.2\ cm$$

$$3.5\ cm$$

$$2.4\ cm$$

$$1.3\ cm$$

Solution

Question 8

$$1$$

$$2$$

$$3$$

$$4$$

Solution

Question 9

$$2.0\ \text{cm}$$

$$2.1\ \text{cm}$$

$$2.2\ \text{cm}$$

$$2.3\ \text{cm}$$

Solution

Question 10

$$11.7\ cm$$

$$5.2\ cm$$

$$3.9\ cm$$

$$2.6\ cm$$

Solution

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