1. 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. None of these
2. The things which are double of the same thing are:
a. Halves of the same thing
b. Equal
c. double of the same thing
d. Unequal
3. If the point P lies in between M and N, C is the midpoint of MP then
a. MP + CP = MN
b. MC + CN = MN
c. MC + PN = MN
d. CP + CN = MN
4. Euclid stated that if equals are added to equals, the wholes are equal in the form of
a. A definition
b. A theorem
c. An axiom
d. None of these
5. If C lies between A and B and AB = 10cm, AC = 3cm, then find the value of BC^{2}?
a. 13 cm^{2}
b. 49 cm^{2}
c. 7 cm^{2}
d. 9 cm^{2}
6. If 2x = 2y and y = z then,
a. x>z
b. z>x
c. x = z
d. None
7. A _______ is an exact location in space.
a. Point
b. Surface
c. Solid
d. Line
8. Euclid’s fifth postulate implies the existence of
a. Perpendicular lines
b. Intersecting lines
c. Parallel lines
d. None of these
9. Which one of the following statements is false?
a. A figure formed by line segments is called a rectilinear figure.
b. A terminated line can be produced indefinitely on both the sides.
c. Two circles are equal when their radii are equal
d. Only one line can pass through a single point
10. The two lines which are parallel to the same line are _______ to each other.
a. Equal
b. Parallel
c. Perpendicular
d. None of these
Chapter  5 Introduction to Euclids Quiz2  Math Class 9th
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Question 1 of 10
1. Question
Euclid stated that all right angles are equal to each other in the form of
Correct
Euclid’s fourth postulate states that all right angles are equal to one another.
Incorrect
Euclid’s fourth postulate states that all right angles are equal to one another.

Question 2 of 10
2. Question
The things which are double of the same thing are:
Correct
According to sixth axiom of Euclid, if two things are double of the one thing then they must be equal.
Incorrect
According to sixth axiom of Euclid, if two things are double of the one thing then they must be equal.

Question 3 of 10
3. Question
If the point P lies in between M and N, C is the midpoint of MP then
Correct
Since, P lies between M and N, MN = MP+PN….. (i)
Now, C is the midpoint of MP, so, MP=MC+CP
⇒ MN = MC + CP + PN
⇒ MN = MC + CN (CP+PN = CN)Incorrect
Since, P lies between M and N, MN = MP+PN….. (i)
Now, C is the midpoint of MP, so, MP=MC+CP
⇒ MN = MC + CP + PN
⇒ MN = MC + CN (CP+PN = CN) 
Question 4 of 10
4. Question
Euclid stated that if equals are added to equals, the wholes are equal in the form of
Correct
This is Euclid’s second axiom stating addition of equals. An algebraic version of Euclid’s second axiom would read “if x=y, and if a=b, then x + a = y + b.
Incorrect
This is Euclid’s second axiom stating addition of equals. An algebraic version of Euclid’s second axiom would read “if x=y, and if a=b, then x + a = y + b.

Question 5 of 10
5. Question
If C lies between A and B and AB = 10cm, AC = 3cm, then find the value of BC^{2}?
Correct
Since, AB = 10cm, C = 3 cm,
Therefore BC = AB – AC
=10 – 3 = 7cm.
Hence, BC^{2} = 49 cm^{2}Incorrect
Since, AB = 10cm, C = 3 cm,
Therefore BC = AB – AC
=10 – 3 = 7cm.
Hence, BC^{2} = 49 cm^{2} 
Question 6 of 10
6. Question
If 2x = 2y and y = z then,
Correct
According to 6 the axiom of Euclid, things which are double of the same things are equal to one another.
Here, 2x=2y which means x=y.
Now, y=z therefore, z=x.
Incorrect
According to 6 the axiom of Euclid, things which are double of the same things are equal to one another.
Here, 2x=2y which means x=y.
Now, y=z therefore, z=x.

Question 7 of 10
7. Question
A _______ is an exact location in space.
Correct
Every shape is made through the combining the points. A small dot marked by a pencil is a point. A point has no length or width. It has no thickness. Point is a mark of position. which specifies the exact location.
Incorrect
Every shape is made through the combining the points. A small dot marked by a pencil is a point. A point has no length or width. It has no thickness. Point is a mark of position. which specifies the exact location.

Question 8 of 10
8. Question
Euclid’s fifth postulate implies the existence of
Correct
According to Euclid’s fifth postulate, if a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.
Incorrect
According to Euclid’s fifth postulate, if a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.

Question 9 of 10
9. Question
Which one of the following statements is false?
Correct
Infinite number of lines can pass through a single point.
Incorrect
Infinite number of lines can pass through a single point.

Question 10 of 10
10. Question
The two lines which are parallel to the same line are _______ to each other.
Correct
There are 3 lines AB, CD, EF, where AB and EF are parallel, and CD and EF are parallel.
Let line PQ cross AB at G, EF at H, and CD at K. On parallel lines AB and EF, angle AGK = GHF (Alternate interior angles).
On parallel lines AB and EF, angle AGK = GHF. (Alternate interior angles)
So, angle AGK = GKD. (Alternate interior angles)
So, AB is parallel to CD.Incorrect
There are 3 lines AB, CD, EF, where AB and EF are parallel, and CD and EF are parallel.
Let line PQ cross AB at G, EF at H, and CD at K. On parallel lines AB and EF, angle AGK = GHF (Alternate interior angles).
On parallel lines AB and EF, angle AGK = GHF. (Alternate interior angles)
So, angle AGK = GKD. (Alternate interior angles)
So, AB is parallel to CD.