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9th Grade > Mathematics

INTRODUCTION TO EUCLID S GEOMETRY MCQs

Total Questions : 57 | Page 3 of 6 pages
Question 21. A straight line is an angle with ___ measurement.
  1.    90o
  2.    180o
  3.    360o
  4.    45o
 Discuss Question
Answer: Option B. -> 180o
:
B
Straight angles are formed when the legs are pointing in exactly opposite directions. The two legs then form a single straight line through the vertex of the angle. The measure of a flat angle is thus always 180o.
A Straight Line Is An Angle With ___ measurement.
Question 22. Anmol was cutting a piece of paper with a pair of scissors. She observed that as she increased the angle of the scissors, the angles created in the opposite arms(vertically opposite angle) ___.
  1.    increased by same amount
  2.    decreases by same amount
  3.    remains constant
  4.    increases by double
 Discuss Question
Answer: Option A. -> increased by same amount
:
A
Vertically opposite angles are equal. If one angle increases then vertically opposite angle will increase by same amount.
Question 23. The edges of a surface is called ___ .
 Discuss Question

:
A surface is obtained by adding, similar lines to each other from one side. Hence, the edges of a surface is also a line.
Question 24. Rahul added 5 chocolates to his box of 100 chocolates. His friend Ramu also added 5 chocolates to his own box to get a total of 105 chocolates. How many chocolates did Ramu have in his box before adding 5 chocolates?
  1.    90
  2.    110
  3.    95
  4.    100
 Discuss Question
Answer: Option D. -> 100
:
D
According to the axiom - 'if equals are added to equals, the wholes are equal.' Rahul has 105 chocolates after adding 5 chocolates to the box of 100 chocolates. It is given that Ramu also added 5 chocolates to get 105 chocolates at the end. Hence it can be deduced that Ramu also had 100 chocolates before adding 5 chocolates to his box.
Question 25. Any pair of supplementary angles sum up to _____
  1.    90∘
  2.    180∘
  3.    360∘
  4.    270∘
 Discuss Question
Answer: Option B. -> 180∘
:
B
Any pair of supplementary angles sum up to 180
Question 26. A line that intersects two lines at distinct points is called as ___.
 Discuss Question

:
Transversal intersects two lines at two distinct points.
Question 27. Who is regarded as the father of Geometry?
  1.    Pythagoras
  2.    Euclid
  3.    Archimedes
  4.    Thales
 Discuss Question
Answer: Option B. -> Euclid
:
B
Euclid was a Greek mathematician and is called 'father of Geometry'. He compiled elements which have several geometric theories. These are still used by mathematicians all around the world.
Question 28.


Find the measure of 2, 3 and 4 from the given figure.


Find The Measure of ∠2, ∠3 And ∠4 From The Given Figu...


  1.     75, 75, 105
  2.     75, 85, 105
  3.     105, 75, 75
  4.     105, 75, 105
 Discuss Question
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 = 18075 = 105
2 = 4
(Vertically opposite angles)
4 = 105°


Question 29.


Pick an option which gives the meaning of the word - Geometry.


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

 


Question 30.


Match the following:


Match The Following:


  1.     1-a, 2-b, 3-c
  2.     1-b, 2-a, 3-c
  3.     1-c, 2-b, 3-a
  4.     1-b, 2-c, 3-a
 Discuss Question
Answer: Option D. -> 1-b, 2-c, 3-a
:
D

An angle whose measure is less than 90 is called an acute angle.
An angle whose measure is greater than 90, but less than 180 is called an obtuse angle.
An angle whose measure is 90​ is called a right angle.


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