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9th Grade > Mathematics

INTRODUCTION TO EUCLID S GEOMETRY MCQs

Total Questions : 57 | Page 2 of 6 pages
Question 11. If QP BC, what is the measure of QAB ?
If QP ∥ BC, What Is The Measure Of ∠QAB ?
  1.    33 ∘
  2.    y
  3.    x
  4.    x+y
 Discuss Question
Answer: Option B. -> y
:
B
Since APandBC are parallel and considering AB as the transversal, we have:
QAB=ABC=y [alternate angles are equal]
Question 12. All right angles are ___  .
 Discuss Question

:
Euclid in his book Elements gave 5 postulates. One of his postulates stated that:
'All right angles are congruent'.
Question 13. In the below-given figure, there are ___ transversals.
In The Below-given Figure, There Are ___ transversals.
 Discuss Question

:
For lines l and m lines p and q are transversals. Also ifwe consider lines p and q then lines l and m will be transversals.
Question 14. An axiom is a proposition or statement which was proven long before and now accepted as truth by everyone. 
  1.    True
  2.    False
  3.    Vertically opposite angles are equal
  4.    Complementary angles are equal
 Discuss Question
Answer: Option B. -> False
:
B
Axioms are propositions or statements which are accepted as truths and everyone knows about them. They don't need a proof.For e.g. everything which goes up, comes down (on earth!).
Question 15. The ends of a line segment are called 
  1.    transversals
  2.    points
  3.    axes
  4.    crosses
 Discuss Question
Answer: Option B. -> points
:
B
Stacking points makes a line segment. This means both the ends of a line segment are points.
Question 16. What type of angle is it between the minute and the hour hand shown on the clock below?
What Type Of Angle Is It Between The Minute and The Hour h...
  1.    Acute
  2.    Obtuse
  3.    Right
  4.    Reflex 
 Discuss Question
Answer: Option B. -> Obtuse
:
B
If the time shown is 6 o'clockthen the anglebetween minutes and hours hand is 180. Likewise, if it is3 o'clockthen the angle is 90.
So, at 4 o'clock the angle will be greater than 90and less than 180. Hence it is an obtuse angle.

What Type Of Angle Is It Between The Minute and The Hour h...
Question 17. Akash draws a straight line on a sheet of paper. Then he draws another line such that the distance between the two is the same throughout. Similarly, he draws one more line in the same manner. He names these line as l, m and n. Which of the following is correct?
  1.      l ⊥ m
  2.     m ⊥ n
  3.     l ∥ m ∥ n
  4.    l ∥ m only and m ⊥ n
 Discuss Question
Answer: Option C. ->  l ∥ m ∥ n
:
C
Distance between a pair of any two parallel lines remains the same throughout.
If l m and m n then l m n.
Question 18. In the given figure, AB||CD and if CFE=90, then FEB= __.
In The Given Figure, AB||CD And If ∠CFE=90∘, Then ∠FEB...
 Discuss Question

:
As stated in question AB||CD and if CFE = 90, so FEB is an alternate angle to CFE which should be equal.
So, FEB=90.
Question 19. In a surface, a movement is not possible in the upward and downward direction also. 
  1.    True
  2.    False
  3.    Right
  4.    Reflex 
 Discuss Question
Answer: Option A. -> True
:
A
A surface is basically bound by the boundary lines The movement is not possible in the upward and downward directions as the boundaries of surface exists in two directions only and those directions are where the length and breadth of the surface are contained.
Question 20. The lines XW and YZ are parallel.
The Lines ⟷XW And ⟷YZ are Parallel.
  1.    True
  2.    False
  3.    remains constant
  4.    increases by double
 Discuss Question
Answer: Option A. -> True
:
A
As XAB = DBA, which form the alternate interior angle pair for lines WX and YZ and transversal PQ, we can say that lines XW and YZ are parallel.

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