Practical Geometry Test

Result

Practical Geometry Test - 2

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Which construction is shown in the accompanying diagram?

A
The bisector of $$\angle ACD$$

B
The midpoint of $$\overline{AF}$$

C
The perpendicular bisector of $$\overline{AB}$$

D
A perpendicular line to $$\overline{AB}$$ from point $$D$$
Question 2
1 / -0

You are asked to "construct" an angle whose measure is $$30^\circ$$. Which of the following methods would be considered as an acceptable construction?

A
Using a compass and straightedge, construct two parallel lines and label one of the angles $$30^\circ$$.

B
Using a compass and straightedge, construct an equilateral triangle and then bisect one of its angles.

C
Using a compass and straightedge, copy an angle that appears to be close to $$30^\circ$$ from a diagram in your textbook.

D
None of these

Solution

We only need to construct an angle of $$30^{o}$$.

We have not been provided with any side or point.

So, its best to construct an equilateral triangle by drawing $$60^{\circ}$$ angles and then extending and joining them with the straighedges

Since every angle is of measure $$60^{o}$$, so bisecting one of the angle will form an angle of measure $$30^{o}$$.

Hence, the acceptable construction is given by option B.
Question 3
1 / -0

The instrument to measure an angle is a

A
Ruler

B
Protractor

C
Divider

D
Compasses

Solution

Protractor is used to measure an angle. A protractor is half of a circle. A protractor uses units called degrees to measure angles. A protractor can measure angles starting from the left or from the right. It measures from 0 to 180 degrees. 180 degrees is half of the measure of a circle.
Question 4
1 / -0

When a perpendicular is drawn to a given line, in what ratio is the line divided into?

A
$$1:1$$

B
$$1:2$$

C
$$2:1$$

D
Cannot be said

Solution

A line does not have a definite length.
Hence, when a perpendicular is drawn to the given line, nothing can be said about the ratio it gets divided into.
Question 5
1 / -0

Instrument used to measure or construct angles is-

A
Scale

B
Compass

C
Set square

D
None of these

Solution

instrument used to measure or construct angles is known as protractor..
Question 6
1 / -0

How many arcs need to be constructed in order to draw an angle equal to a given angle?

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution
Question 7
1 / -0

Construct line $$\ l\ \ \parallel$$ line $$m$$, line $$l\perp$$ line $$n$$.
Which one of following is true?

A
$$n\parallel \ m$$

B
$$n \perp \ m$$

C
$$l,m,n$$ forms a triangle

D
None

Solution

$$\Rightarrow$$ Line $$l$$ $$\parallel$$ line $$m$$ [Given]
$$\Rightarrow$$ Line $$l$$ $$\perp$$ line $$n$$ [Given]
$$\Rightarrow$$ So, $$\angle O=90^\circ$$
$$\Rightarrow$$ Since it's given that line $$l$$ parallel to line $$m$$ then,
$$\Rightarrow$$ $$\angle P=90^\circ$$
$$\Rightarrow$$ Hence, line $$n$$ $$\perp$$ line $$m$$
Question 8
1 / -0

Use a protractor to measure the angle $$x$$ as shown in the picture $$x$$ can be:

A
$$< 30^{\circ}$$

B
$$=90^{\circ}$$

C
$$>90^{\circ}$$

D
$$30^{\circ} < x< 90^{\circ}$$

Solution

We get $$x=45^{\circ}$$ by measuring the angle using a protractor.
$$\therefore 30^{\circ}<x<90^{\circ}$$

So, option $$D$$ is correct.
Question 9
1 / -0

Using Protractor, we constructed an angle of $$45˚$$. The constructed figure looks like:

A

B

C

D

Solution

If we construct an angle of $$45^{\circ}$$ using a protractor the figure looks like the figure in option $$A$$
So option $$A$$ is correct.
Question 10
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 last?

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

For constructing a line segment of given length steps are following:
Step 1 : Draw a line $$(2)$$.
Step 2 :Take a point $$A$$ anywhere on the line $$(4)$$.
Step 3 : Extend the compass by keeping one end on the $$0 \ \ cm$$ mark and other at given length on ruler$$(3)$$.
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 $$B (1)$$
So $$(1)$$ is the last step.
Option $$A$$ is correct.