Lines And Angles(7th Grade > Mathematics ) Questions and answers for exam Preparation

7th Grade > Mathematics

LINES AND ANGLES MCQs

Total Questions : 60 | Page 6 of 6 pages

Question 51.

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

Discuss Question

Answer: Option B. -> 15
:
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 52.

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?

l $⊥$ m
m $⊥$ n
l $∥$ m $∥$ n
l $∥$ m only and m $⊥$ n

Discuss Question

Answer: Option C. -> l

∥

∥

n
:
C
Distance between a pair of any two parallel lines remains the same throughout.
If l

∥

m and m

∥

n then l

∥

∥

Question 53.

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?

I, II, III
I, II
I only
II only

Discuss Question

Answer: Option A. -> I, II, III
:
A

If two angles are complementary, then the sum of the angles will be 90 $^{\circ}$ .

Question 54.

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

$∠$ 1 + $∠$ 8 = 180 $^{\circ}$
$∠$ 7 + $∠$ 8 + $∠$ 5= 180 $^{\circ}$
$∠$ 1 + $∠$ 2 + $∠$ 4 = 180 $^{\circ}$
$∠$ 3 + $∠$ 5 + $∠$ 6 = 180 $^{\circ}$

Discuss Question

Answer: Option A. ->

∠

1 +

∠

8 = 180

^{\circ}

:
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."

\Rightarrow

If the lines are parallel, the sum of those two angles is 180

^{\circ}

∴

∠

1 +

∠

8 = 180

^{\circ}

and

∠

3 +

∠

6 = 180

^{\circ}

Question 55.

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 ___.

Increases by same amount
Decreases by same amount
Remains constant
Increases by double

Discuss Question

Answer: Option A. -> Increases by same amount
:
A

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

Question 56.

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

Vertically opposite angles
Adjacent angles
Supplementary angles
Corresponding angles

Discuss Question

Answer: Option B. -> Adjacent angles
:
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 57.

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