Free Lines and Angles 01 Practice Test - 7th grade 

Question 1

Satyam has drawn his house on a paper as shown. Find the number of line segments used to draw the house.

A.

16

B.

15

C.

24

D.

10

SOLUTION

Solution : B

A line segment is a part of a line that is bounded by two distinct end points.

In the given figure, number of line segments used = 15

Question 2

Vignesh has two angles, ∠A and ∠B. He arranged these angles on a paper such that they are complementary. Which of the following arrangements did he make?

A.

I, II, III

B.

I, II

C.

I only

D.

II only

SOLUTION

Solution : A

If two angles are complementary, then the sum of the angles will be 90∘. 

Question 3

Anmol was cutting a piece of paper with a pair of scissors. He observed that as he increases the angle of the scissors, then the vertically opposite angle ___.

A.

Increases by same amount

B.

Decreases by same amount

C.

Remains constant

D.

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 4

In the figure given below,  angle A and angle B are

A.

Vertically opposite angles

B.

Adjacent angles

C.

Supplementary angles

D.

Corresponding angles

SOLUTION

Solution : B

Adjacent angles are two angles that have a common vertex, a common arm and non common arms which lie on either side of the common arm.
In the given question, angles A and B share a common arm and a common vertex and hence these are adjacent angles.

Question 5

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.

Question 6

In the figure given below, l and m are two parallel lines. Which of the following statement is true?

A. ∠1 + ∠8 = 180∘ 
B. ∠7 + ∠8 + ∠5= 180∘ 
C. ∠1 + ∠2 + ∠4 = 180∘ 
D. ∠3 + ∠5 + ∠6  = 180∘ 

SOLUTION

Solution : A

From Euclid's 5th postulate, we know,
"If a straight line falling on two straight lines makes the interior angles on the same side of it taken together is less than two right angles, then the two straight lines, if produced infinitely, meet on that side on which the sum of the angles is less than two right angles."
⇒ If the lines are parallel, the sum of those two angles is 180∘.

∴ ∠1 + ∠8 = 180∘  and ∠3 + ∠6 = 180∘ 

Question 7

A closed figure can be formed if there are more than one pair of intersecting lines. How many intersecting lines are there in a triangle?
___

SOLUTION

Solution :

Triangle can be formed by the intersection of three lines.

Question 8

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

SOLUTION

Solution :

A Transversal intersects two lines at two distinct points.

Question 9

Lines, rays and line segment are all one and the same. True or false?

A.

True

B.

False

SOLUTION

Solution : B

A line segment is a part of a line that is bounded by two distinct end points.

A ray starts at a point and extends infinitely in one direction.

A line extends in both directions infinitely.

Question 10

"Two lines can intersect at more than one point". Say true or false.

A.

True

B.

False

SOLUTION

Solution : B

Two lines can intersect at one point only.

If they are coincident, then they will have infinite number of common points

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