Free Introduction to Euclid's Geometry 02 Practice Test - 9th Grade

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?

A.   l m
B.  m n
C.  l m n
D. l m only and m n

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.

In the figure given below identify interior angles.

A.

3, 4, 5, 6.

B.

1, 2, 8, 7.

C.

3, 2, 5, 6.

D.

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.

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

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.

Which of the following option(s) is/are correct when a transversal intersects two parallel lines?

A. Corresponding angles are equal
B. Alternate angles are equal
C. Vertically opposite angles are equal
D. Complementary angles are equal

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.

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.

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

A.

True

B.

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!).

The ends of a line segment are called

A. transversals
B. points
C. axes
D. crosses

SOLUTION

Solution : B

Stacking points makes a line segment. This means both the ends of a line segment are points.

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.

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

A.

Acute

B.

Obtuse

C.

Right

D.

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.

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

A. True
B. False

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.