Free Introduction to Euclid's Geometry 02 Practice Test - 9th Grade
Question 1
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?
SOLUTION
Solution : 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 2
In the figure given below identify interior angles.
∠3, ∠4, ∠5, ∠6.
∠1, ∠2, ∠8, ∠7.
∠3, ∠2, ∠5, ∠6.
∠1, ∠2, ∠3, ∠4.
SOLUTION
Solution : A
Interior angle can be defined as:
When two parallel lines are crossed by another line (which is called the transversal), the pairs of angles on opposite sides of the transversal but inside the two lines are called interior angles.
So in the given question, the interior angles are ∠3, ∠4, ∠5, ∠6.
Question 3
In the below-given figure, there are
SOLUTION
Solution :For lines l and m lines p and q are transversals. Also if we consider lines p and q then lines l and m will be transversals.
Question 4
Which of the following option(s) is/are correct when a transversal intersects two parallel lines?
SOLUTION
Solution : A, B, and C
If two lines are parallel then:
Corresponding angles are equal i.e., ∠a=∠e
Alternate interior angles are equal i.e., ∠c=∠f
Alternate exterior angles are equal i.e., ∠b=∠g
Vertically opposite angles are equal in case of intersecting lines.
Question 5
In the given figure, AB||CD and if ∠CFE=90∘, then ∠FEB=
SOLUTION
Solution :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 6
An axiom is a proposition or statement which was proven long before and now accepted as truth by everyone.
True
False
SOLUTION
Solution : 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 7
The ends of a line segment are called
SOLUTION
Solution : B
Stacking points makes a line segment. This means both the ends of a line segment are points.
Question 8
Results derived by using postulates and axioms are called
SOLUTION
Solution : 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.
Question 9
What type of angle is it between the minute and the hour hand shown on the clock below?
Acute
Obtuse
Right
Reflex
SOLUTION
Solution : B
If the time shown is 6 o'clock then the angle between minutes and hours hand is 180∘. Likewise, if it is 3 o'clock then the angle is 90∘.
So, at 4 o'clock the angle will be greater than 90∘ and less than 180∘. Hence it is an obtuse angle.
Question 10
In a surface, a movement is not possible in the upward and downward direction also.
SOLUTION
Solution : 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.