Introduction to Constructions of Basic Items

Q.

Question 6

Draw an angle of measure ${45}^{\circ }$ and bisect it.

Q. Arrange the steps of construction of ${15}^{\circ }$ angle in a proper sequential order.
Step 1:
Construct ${60}^{\circ }$ angle.
Step 2:
The angle obtained by bisecting ${30}^{\circ }$ angle is ${15}^{\circ }$.
Step 3:
Bisect ${60}^{\circ }$ angle to get ${30}^{\circ }$ angle.

1. Step 1, Step 2, Step 3
2. Only Step 1 and Step 3 is required.
3. Step 1, Step 3, Step 2
4. Step 3, Step 2, Step 1

Q.

What are the differences between measurements and mensuration

Q.

Draw an angle of $110°$ with the help of a protractor and bisect it. Measure each angle.

Q. A protractor is in shape.

1. semi-circular
2. triangular
3. rectangular

Q.

Draw a circle with a $2cm.$radius

Q. If one acute angle of a set square is ${60}^{\circ }$, then the other acute angle is

1. ${45}^{\circ }$
2. ${60}^{\circ }$
3. ${30}^{\circ }$

Q. What is geometry?

Q.

How many axioms did Euclid give?

1. 2

2. 3

3. 4

4. 5

Q. For drawing parallel lines to a given line through a given point we make use of ___

1. Arcs
2. Triangles
3. Quadrilaterals
4. Lines

Q.

In the shown figure, line segment $BD$ is angle bisector of $\angle ABC$. Line segment $BE$ is angle bisector of $\angle ABD$. Then $\angle ABC=$ __ $\times \angle ABE$

Q. In the given figure $AB$ ∥ $CD$, $\angle AEO={55}^{\circ }$, $\angle CFO={40}^{\circ }$. The measure of reflex $\angle EOF$ is

1. ${285}^{\circ }$
2. ${290}^{\circ }$
3. ${265}^{\circ }$

Q.

The Instrument to draw a circle is

1. Set Square

2. Compass

3. ruler

4. Protactor

Q. A perpendicular bisector of a given line is to it and divides the given line in equal parts.

1. perpendicular
2. parallel
3. equal
4. two
5. three
6. four

Q. How many right-angled triangles are there in a rhombus with a single diagonal?

1. 8
2. 0
3. 2
4. 4

Q.

What is the criteria for any two plane figures to be congruent? [1 MARK]

Q. In the given figure, ABCD is a square. Find the measure of $\angle CAD$.

Q.

Ted is a very studious guy. And guess what, he loves experiments.One of the fields of Mathematics that particularly interests him is Geometry. But the problem is that he doesn't know the ABC of Geometry. Since you have already understood Geometry, you could help Ted. So today, you aren't a student. You are a teacher! To start with, pick an option which gives the meaning of the word Geometry.

1. Measurement of anything
2. Measurement of earth
3. Just measurement
4. Measurement of world

Q.

Ram drew $\angle ABC$ and then he drew a line segment $BD$ such that line segment $BD$ is angle bisector of $\angle ABC$. Then, $\angle ABC$ $=$ ___ $\angle ABD$.

Q.

Jim had English test last week & he got less marks because he missed using appropriate punctuation that is used after completion of a sentence which is also a basic aspect of geometry, what do you think it is?

1. Comma

2. Full stop

3. Semi colon

4. Colon

Q. State true or false:

1. True
2. False

Q. What does the markings on the semi - circular part of a protractor denotes?

1. Length in cm
2. Angle in degrees
3. Length of curvature
4. None of the above

Q.

Great! Now that Ted knows about Geometry, he is curious about how it all started. Since Ted wants to become a great mathematician one day, he is also interested in knowing about the great mathematicians. We are talking about Geometry here. Which mathematician is regarded as the father of Geometry?

1. Pythagoras
2. Euclid
3. Archimedes
4. Thales

Q.

In the shown figure, line segment $BD$ is angle bisector of $\angle ABC$. Line segment $BE$ is angle bisector of $\angle ABD$. Then $\angle ABC=$ __ $\times \angle ABE$

Q.

Ram drew $\angle ABC$ and then he drew a line segment $BD$ so that the line segment $BD$ is angle bisector of $\angle ABC$. Then, $\angle \left(ABC\right)=$ __ $\times \angle \left(ABD\right)$.

Q.

Draw a line AB. At A, draw an arc of length $3cm$ 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 $\angle QAB$. What is the value of $\angle QAB$?

1. 30º

2. 90º

3. 120º

4. 60º

Q.

If $\angle ACD=$ ${90}^o$. Then line segment $AB$ is __ to line segment $CD$.

Q. It is possible that we can construct anything we can think of using Compass and straight edge?

1. No
2. Yes
3. Sometimes

Q.

Euclidean geometry which we study is applicable to every object in the world. Say true or false.

1. True

2. False

Q.

Because of his habit of always peeking into the books of higher grades, Ted was able to recollect that Euclid gave some axioms. How many axioms did Euclid give?

1. 2

2. 3

3. 4

4. 5