Perpendicular to a Line

Q.

Angle between minute hand and hour hand at $6$ O clock is?

Q. Select which of the following is/are examples of perpendicular lines we come across in our daily lives:

1. Water bottles
2. Birthday hats
3. Adjacent edges of square windows
4. Basket balls

Q. ‘Line p is perpendicular to line q’ is written as _______in symbols.

1. ‘line p # line q’
2. ‘line p // line q’
3. ‘line p = line q’
4. ‘line p⊥ line q’

Q. A protractor has divisions varying from $0^{\circ }to{180}^{\circ }$ in both clockwise and anti - clockwise direction. State whether the statement is True of False.

1. True
2. False

Q. M is the midpoint of the line segment AB whose length is 26 cm. The length of line segment MB is ____.

1. 13 cm
2. 24 cm
3. 12 cm
4. 13.7 cm

Q.

Draw ∠ABC. How is it different from ∠BAC? Show with a figure. [3 MARKS]

Q. Rakesh noticed the minute and hour hand of the clock forms an angle. He decided to measure the angle formed when the hour - hand is at 3 and minute - hand is at 12. Measure the angle formed.
The figure is given below.

1. ${90}^{\circ }$
2. ${180}^{\circ }$
3. ${60}^{\circ }$
4. ${40}^{\circ }$

Q.

“Line AB perpendicular to line PQ” is denoted by

1. AB = PQ

2. AB ⊥ PQ

3. AB || PQ

4. None of these

Q. Choose the perpendicular lines from the given option :

1. 
2. 
3. 
4. 

Q.

(a) There are two sets of parallel lines passing through a plane. A transverse line is intersecting the two set of lines. Find out the number of the distinct intersecting points made by the transverse line?

(b) The following diagram shows parallel lines cut by a transversal. Find x. [3 MARKS]

Q. Construct $\overline{AB}$ of length 7.8 cm. From this, cut off $\overline{AC}$ of length 4.7 cm. The measure of $\overline{BC}$ is .

1. 4.7 cm
2. 3.1 cm
3. 7.4 cm
4. 1.3 cm

Q.

If AB is perpendicular to CD and PQ is perpendicular to AB, which of the following is/are true?

1. None of the above

2. CD is parallel to PQ

3. Both A & B

4. CD is perpendicular to PQ

Q.

At which of the times shown in the options, the hour hand and the minute hand of your clock will be perpendicular to each other?

1. 09:00

2. 06:15

3. 03:45

4. Both A & B

Q. Arjun is living in an apartment. He gets out of his apartment and goes to meet his friend Rahul who stays in the apartment opposite of Arjun. He tells Rahul that he had travelled ${180}^{\circ }$ to meet him. State whether the statement made by Arjun is True or False. (The diagram of layout of the apartment is given below)

1. True
2. False

Q.

Suresh and Ramesh saw two perpendicular lines, and made the following statements:
Suresh: If two lines are perpendicular then the number of right angles formed between them is 2.
Ramesh: If two lines are perpendicular then the number of right angles formed between them is 4.

1. Suresh is incorrect, Ramesh is correct.

2. Both are incorrect.

3. Suresh is correct, Ramesh is also correct.

4. Suresh is correct, Ramesh is incorrect.

Q. The angle between two perpendicular lines is _________

1. ${30}^o$
2. ${60}^o$
3. ${90}^o$
4. ${180}^o$

Q. Rakesh drew and measured the angle made when the clock ticks at 9'O' clock. If his answer was right, what was his answer?

1. ${90}^{\circ }$
2. ${40}^{\circ }$
3. ${180}^{\circ }$
4. ${60}^{\circ }$

Q. Select perpendicular lines from the given options:

1. 
2. 
3. 
4. 

Q.

A minimum of ___ lines is required to create four angles.

Q. The knowledge of which angle is needed while constructing a perpendicular line to a line segment?

1. ${30}^{\circ }$
2. ${90}^{\circ }$
3. ${40}^{\circ }$
4. ${75}^{\circ }$

Q.

What acts as a boundary for all the other parts of the abacus?

Q. Mark two points A and B, $4cm$ apart.
Draw a circle passing through B and with A as center.

Q. From the given options, is a set of angles represented by the set -squares of a geometry box.

1. 20°, 70°, 90°
2. 75°, 15°, 90°
3. 30°, 60°, 90°

Q. How many line segments are the cables of the following bridge made of?

1. 15
2. 9
3. 12
4. 6

Q. Number of angles formed in the given figure is _______.

1. $2$
2. $5$
3. More than $5$
4. $4$

Q. Rakesh tells Anisha if she moves 5 km to right and then moves 4 km to south she would reach his house. While walking Anisha noticed that she travelled an angle of ${90}^{\circ }$ to reach his house.
State whether Anisha is correct or not.

1. True
2. False

Q. Adjacent walls of a room is an example of perpendicular lines.

1. True
2. False

Q. How many arcs are to be drawn to construct a perpendicular from a point on a line segment?

1. 5

Q. Which of the following instruments is used to measure the length of a line segment?

1. Protractor
2. Compass
3. Beaker
4. Scale

Q.

A line segment is defined as

1. a curved segment of line

2. a line with finite length

3. a line having one end-point

4. same as line