Introduction To Euclid S Geometry(9th Grade > Mathematics ) Questions and answers for exam Preparation

9th Grade > Mathematics

INTRODUCTION TO EUCLID S GEOMETRY MCQs

Total Questions : 57 | Page 5 of 6 pages

In the below-given figure, there are ___ transversals.

Discuss Question

Answer: Option A. ->
:

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 42.

An axiom is a proposition or statement which was proven long before and now accepted as truth by everyone.

True
False
Vertically opposite angles are equal
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 43.

In the given figure, AB||CD and if $∠ C F E = 90^{\circ}$ , then $∠ F E B =$ __ $^{\circ}$ .

Discuss Question

Answer: Option B. -> False
:

As stated in question AB||CD and if $∠ C F E$ = $90^{\circ}$ , so $∠ F E B$ is an alternate angle to $∠ C F E$ which should be equal.
So, $∠ F E B = 90^{\circ}$ .

Question 44.

The ends of a line segment are called

transversals
points
axes
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 45.

In a surface, a movement is not possible in the upward and downward direction also.

True
False
Right
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 46.

Results derived by using postulates and axioms are called ___ .

Discuss Question

Answer: Option A. -> True
:
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 47.

What type of angle is it between the minute and the hour hand shown on the clock below?

Acute
Obtuse
Right
Reflex

Discuss Question

Answer: Option B. -> Obtuse
:
B

If the time shown is 6 o'clock then the angle between minutes and hours hand is $180^{\circ}$ . Likewise, if it is 3 o'clock then the angle is $90^{\circ}$ .
So, at 4 o'clock the angle will be greater than $90^{\circ}$ and less than $180^{\circ}$ . Hence it is an obtuse angle.

Question 48.

A line that intersects two lines at distinct points is called as ___.

Discuss Question

Answer: Option B. -> Obtuse
:

Transversal intersects two lines at two distinct points.

Question 49.

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) ___.

increased by same amount
decreases by same amount
remains constant
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 50.

Statement $1$ : When two lines intersect each other, only the angles forming linear pair are supplementary.

Statement $2$ : When two lines intersect each other, angles forming linear pair are supplementary.

Choose one or more correct option(s).

Statement $1$ is right
Statement $1$ is wrong
Statement $2$ is right
Statement $2$ is wrong

Discuss Question

Answer: Option B. -> Statement

1

is wrong
:
B and C

Statement $2$ is right. Statement $1$ is wrong. If the lines are perpendicular to each other, then the pair of vertically opposite angles are also supplementary.