# Free Introduction to Euclid's Geometry 01 Practice Test - 9th Grade

### Question 1

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

#### SOLUTION

Solution :A

Vertically opposite angles are equal. If one angle increases then vertically opposite angle will increase by same amount.

### Question 2

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

#### SOLUTION

Solution :Transversal intersects two lines at two distinct points.

### Question 3

The lines ⟷XW and ⟷YZ are parallel.

True

False

#### SOLUTION

Solution :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.

### Question 4

Who is regarded as the father of Geometry?

#### SOLUTION

Solution :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 5

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

#### SOLUTION

Solution :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.

### Question 6

Any pair of supplementary angles sum up to _____

90∘

180∘

360∘

270∘

#### SOLUTION

Solution :B

Any pair of supplementary angles sum up to 180∘

### Question 7

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?

#### SOLUTION

Solution :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 8

State whether the given statement is true or false.

An axiom is a statement that is obviously true whereas the statements which are particular to Geometry and accepted without question are known as postulates.

#### SOLUTION

Solution :A

The general statements which are accepted without question and which are applicable to all branches of Mathematics are commonly referred to as Axioms.The statements which are particular to Geometry and accepted without question are called Postulates. Any result proved depends on these axioms and postulates.

### Question 9

The edges of a surface is called

#### SOLUTION

Solution :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 10

A straight line is an angle with

#### SOLUTION

Solution :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.