9th Grade > Mathematics
INTRODUCTION TO EUCLID S GEOMETRY MCQs
Total Questions : 57
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Answer: Option C. -> Measurement of earth
:
C
Geometry consists of two words: Geo (meaning Earth) and Metry (or Metron meaning measurement). The meaning of geometry is 'measurement of the earth'.
In mathematical terms, geometry is the branch of mathematics where we study about different shapes and their properties. The mathematician who works in the field of geometry is called Geometer.
:
C
Geometry consists of two words: Geo (meaning Earth) and Metry (or Metron meaning measurement). The meaning of geometry is 'measurement of the earth'.
In mathematical terms, geometry is the branch of mathematics where we study about different shapes and their properties. The mathematician who works in the field of geometry is called Geometer.
Answer: Option D. -> neither of ⟷AB nor ⟷CD
:
D
A transversal is a line which intersects two (or more) lines in two (or more) distinct points. However, in this case, either of the lines⟷ABand⟷CD, intersect only in one point. Hence, neither of ⟷ABand⟷CD, can be a transversal.
:
D
A transversal is a line which intersects two (or more) lines in two (or more) distinct points. However, in this case, either of the lines⟷ABand⟷CD, intersect only in one point. Hence, neither of ⟷ABand⟷CD, can be a transversal.
Answer: Option C. -> Given a line in a plane and a point outside the line in the same plane, there is a unique line passing through the given point and parallel to the given line.
:
C
Playfairwas a Scottish mathematician who's postulate is a simple equivalent version of the parallel postulate of Euclid.Playfair's postulate states that- ' Given a line in a plane and a point outside the line in the same plane, there is a unique line passing through the given point and parallel to the given line.'
:
C
Playfairwas a Scottish mathematician who's postulate is a simple equivalent version of the parallel postulate of Euclid.Playfair's postulate states that- ' Given a line in a plane and a point outside the line in the same plane, there is a unique line passing through the given point and parallel to the given line.'
:
There are a lot of axioms and postulates. These are made useful to arrive at some results that are useful. These results are called theorems.
Answer: Option A. -> ∠3, ∠4, ∠5, ∠6.
:
A
Interior angle can be defined as:
When two parallel lines are crossed by another line (which is called the transversal), the pairs of angleson opposite sides of the transversalbut inside the two linesare calledinterior angles.
So in the given question, the interior angles are ∠3, ∠4, ∠5, ∠6.
:
A
Interior angle can be defined as:
When two parallel lines are crossed by another line (which is called the transversal), the pairs of angleson opposite sides of the transversalbut inside the two linesare calledinterior angles.
So in the given question, the interior angles are ∠3, ∠4, ∠5, ∠6.
Answer: Option A. -> True
:
A
The general statements which are accepted without question and which are applicable to all branches of Mathematics are commonly referred to as Axioms.The statements which are particular to Geometry and accepted without question are called Postulates. Any resultproved depends on these axioms and postulates.
:
A
The general statements which are accepted without question and which are applicable to all branches of Mathematics are commonly referred to as Axioms.The statements which are particular to Geometry and accepted without question are called Postulates. Any resultproved depends on these axioms and postulates.
Answer: Option D. -> 105∘, 75∘, 105∘
:
D
From the figure given in the question, we can observe that
∠3 = 75∘
(Vertically opposite angles)
∠2 +75∘= 180∘
(Angles on a straight line)
⇒ ∠2 = 180∘-75∘= 105∘
∠2 =∠4
(Vertically opposite angles)
⇒∠4 = 105°
:
D
From the figure given in the question, we can observe that
∠3 = 75∘
(Vertically opposite angles)
∠2 +75∘= 180∘
(Angles on a straight line)
⇒ ∠2 = 180∘-75∘= 105∘
∠2 =∠4
(Vertically opposite angles)
⇒∠4 = 105°
Answer: Option C. -> Given any straight line segment, a circle can be drawn having the segment as diameter and any point as the centre.
:
C
Given any straight line segment, a circle can be drawn having the segment asradius and one endpoint as the centreis the postulate given by Euclid.
A circle cannot be drawn for any given line segment as its diameter and any point on it as the centre.
:
C
Given any straight line segment, a circle can be drawn having the segment asradius and one endpoint as the centreis the postulate given by Euclid.
A circle cannot be drawn for any given line segment as its diameter and any point on it as the centre.
Answer: Option D. -> 1-b, 2-c, 3-a
:
D
An angle whose measure isless than 90∘ is called an acute angle.
An angle whose measure isgreater than 90∘, but less than 180∘is calledan obtuse angle.
An angle whosemeasure is 90∘ is called a right angle.
:
D
An angle whose measure isless than 90∘ is called an acute angle.
An angle whose measure isgreater than 90∘, but less than 180∘is calledan obtuse angle.
An angle whosemeasure is 90∘ is called a right angle.
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