Introduction to Euclids Geometry Test

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Introduction to Euclids Geometry Test - 12

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Weekly Quiz Competition

Question 1
1 / -0

The boundaries of the solids are called curves.

A
True

B
False

C
Ambiguous

D
Data Insufficient

Solution

The boundaries of the solids are called surfaces.
While the boundaries of the surfaces are called curves.
Question 2
1 / -0

Euclid's fourth axiom says that everything equals itself.

A
True

B
False

C
Ambiguous

D
Data insufficient

Solution

Euclid's fourth axiom states that "things which coincide with one another are equal to one another." In other words, "everything equals itself."

Hence, the given statement is true.
Question 3
1 / -0

$$\angle A=\angle B$$ and $$\angle B=\angle C$$, According to which axiom of Euclid the relation between $$\angle A$$ and $$\angle C$$ is established?

A
I

B
II

C
III

D
IV

Solution

Given that $$\quad \angle A=\angle B\quad \& \quad \angle B=\angle C.\quad $$
Then, according to Euclid's first axiom, which states that
"Things which are equal to the same thing are also equal to each other".
Therefore,
$$\quad \angle A=\angle C\quad $$
Ans- Option A.
Question 4
1 / -0

Euclid belonged to which of the following country?

A
Babylonia

B
Egypt

C
Greece

D
India

Solution

Euclid belonged to Greece.
Ans- Option C.
Question 5
1 / -0

It is known that $$x+y=10,$$ then $$x+y+z=10+z$$. The Euclid's axiom that illustrates this statement is

A
First axiom

B
Second axiom

C
Third axiom

D
Fourth axiom

Solution

Here $$z$$ has been added to two quantities that are equal.

So, by Euclid's second axiom, which states that, If equals are added to equals then wholes are equal,
$$\Rightarrow x+y+z=10+z$$

Hence, $$x+y+z=10+z$$ is true by the second axiom of Euclid.
Question 6
1 / -0

The total number of propositions in the Elements book written by Euclid are

A
$$465$$

B
$$460$$

C
$$13$$

D
$$55$$

Solution

Elements is the book written by a mathematician Euclid's and it has $$465$$ propositions , $$131$$ definitions $$5$$ postulates of Euclid's and $$5$$ common notions are written
Therefore, there are $$465$$ propositions in the elements.
Question 7
1 / -0

The Euclidean geometry is valid only for figures in the plane.

A
True

B
False

C
Ambiguous

D
Data Insufficient

Solution

The given statement is true. Because, by Einstein's theory of general relativity, physical space itself is not Euclidean. Euclidean space is a good approximation for it where the gravitational field is weak.
So, in space or in multidimensional space the Euclidean axioms are not applicable.
Ans- Option A.
Question 8
1 / -0

Euclid stated that all right angles are equal to each other in the form of

A
an axiom

B
a definition

C
a postulate

D
a proof

Solution

Euclid's fourth Postulate states that all right angles are equal to each other.
Ans- Option C.
Question 9
1 / -0

Things which are three times of the same thing are

A
equal to each other

B
not equal to each other

C
half of the same

D
double of the same thing

Solution

Let $$x=3a$$ and $$y=3a$$ when $$x,\ y$$ and $$a$$ are arbitrary numbers or things.

Then, by the first axiom of Euclid, $$x=y.$$
Question 10
1 / -0

State the Euclid's axiom used in the following statements
$$\angle ACB > \angle DCB$$

A
Axiom 5

B
Axiom 2

C
Axiom 4

D
Axiom 3

Solution

$$\angle ACB > \angle DCB$$
here axiom 5 is used which states that "the whole is greater than the part"
here we clearly see that $$\angle ACB$$ is greater than $$\angle DCB$$.

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Re-Attempt Weekly Quiz Competition

Introduction to Euclids Geometry Test - 12

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Introduction to Euclids Geometry Test - 12

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Question 1

True

False

Ambiguous

Data Insufficient

Solution

Question 2

True

False

Ambiguous

Data insufficient

Solution

Question 3

I

II

III

IV

Solution

Question 4

Babylonia

Egypt

Greece

India

Solution

Question 5

First axiom

Second axiom

Third axiom

Fourth axiom

Solution

Question 6

$$465$$

$$460$$

$$13$$

$$55$$

Solution

Question 7

True

False

Ambiguous

Data Insufficient

Solution

Question 8

an axiom

a definition

a postulate

a proof

Solution

Question 9

equal to each other

not equal to each other

half of the same

double of the same thing

Solution

Question 10

Axiom 5

Axiom 2

Axiom 4

Axiom 3

Solution

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