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All questions of Understanding Elementary Shapes for Class 6 Exam

In ∠PRQ, which of the following are the two arms?
  • a)
     
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?

Lavanya Menon answered
⇒ In ∠PRQ, Q is a vertex of an angle.
⇒ RP and RQ are two rays of an angle.
⇒ So, RP and RQ​ are two arms of ∠PRQ.

How many metres is 805 cm?
  • a)
    80.5 m
  • b)
    8.5 m
  • c)
    8.50 m
  • d)
    8.05 m
Correct answer is option 'D'. Can you explain this answer?

Sanjeev answered
To convert 805 cm into metres:

1.Divide the number by 100. (805/100 because metre is equal to 100cm)

2.The result obtained is 8.05.

3.Then add the relative unit in the number to get the answer, which was 8.05m

Therefore option D is the correct answer.

By what measure is the line m longer than the line n? 
  • a)
    1 cm
  • b)
    2 cm
  • c)
    3 cm
  • d)
    4 cm
Correct answer is option 'D'. Can you explain this answer?

Ashwani Mishra answered
Length of line A = 9 cm
Length of line B = 7−2 = 5 cm
Length of line A − length of line B = 9 − 5 = 4 cm
Hence, line A is 4 cm longer than line B.

How is the measure of an angle expressed?
  • a)
    Compasses
  • b)
    Protractor
  • c)
    Degrees
  • d)
    Centimetres
Correct answer is option 'C'. Can you explain this answer?

The measure of an angle is expressed in degrees. A protractor is used to measure the angle, and the unit for measuring angles is degrees (°).

An angle which measures 0 is called a/an ___ angle.
  • a)
    zero
  • b)
    straight
  • c)
    obtuse
  • d)
    right
Correct answer is option 'A'. Can you explain this answer?

Angle Measurement

An angle is formed when two lines or line segments meet at a common point. The measurement of an angle is based on the amount of rotation between the two lines, which is usually expressed in degrees.

Types of Angles

There are several types of angles based on their measurements. Let's briefly discuss them before addressing the specific question.

1. Zero Angle: An angle that measures 0 degrees is called a zero angle.
2. Acute Angle: An angle that measures less than 90 degrees is called an acute angle.
3. Right Angle: An angle that measures exactly 90 degrees is called a right angle.
4. Obtuse Angle: An angle that measures more than 90 degrees but less than 180 degrees is called an obtuse angle.
5. Straight Angle: An angle that measures exactly 180 degrees is called a straight angle.
6. Reflex Angle: An angle that measures more than 180 degrees but less than 360 degrees is called a reflex angle.

The Zero Angle

A zero angle is a unique type of angle that measures 0 degrees. It can be visualized as two lines or line segments overlapping each other. Since there is no rotation or inclination between the lines, the angle formed is considered to be zero.

Why is the Answer 'A' - Zero Angle?

In the given question, it is stated that an angle measures 0. Based on the types of angles mentioned above, we can conclude that an angle measuring zero degrees is referred to as a zero angle. This means that the correct answer to the question is option 'A'.

It is crucial for students to understand the different types of angles and their measurements to solve geometry problems accurately. The concept of angles is extensively used in various mathematical and real-world applications, such as measuring distances, calculating areas, and determining shapes.

l and m are two lines perpendicular to each other. What is the measure of the angle between them? 
  • a)
    10
  • b)
    50
  • c)
    40
  • d)
    90
Correct answer is option 'D'. Can you explain this answer?

Anirban Saini answered
Explanation:

When two lines are perpendicular to each other, they form a right angle. A right angle measures 90 degrees. Therefore, the measure of the angle between the two lines is 90 degrees.

Proof:

To prove that the angle between two perpendicular lines is 90 degrees, we can use the concept of alternate angles and the fact that the sum of angles in a straight line is 180 degrees.

1. Let's assume that line L is perpendicular to line M.
2. We can draw a transversal line that intersects both L and M.
3. When a transversal intersects two lines, it creates a pair of alternate angles.
4. Since L and M are perpendicular, the alternate angles created by the transversal will be congruent (equal in measure).
5. Let's label the alternate angles as angle 1 and angle 2.
6. Now, let's consider the straight line formed by line L, the transversal, and line M.
7. The sum of angles in a straight line is 180 degrees.
8. Therefore, angle 1 + angle 2 = 180 degrees.
9. Since angle 1 and angle 2 are congruent, we can rewrite the equation as 2 * angle 1 = 180 degrees.
10. Solving for angle 1, we get angle 1 = 90 degrees.
11. Hence, the measure of the angle between the perpendicular lines L and M is 90 degrees.

Conclusion:

The measure of the angle between two lines perpendicular to each other is always 90 degrees. Therefore, the correct answer is option D) 90.

What type of an angle is ∠AOB? 
  • a)
    An obtuse angle
  • b)
    A right angle
  • c)
    An acute tangle
  • d)
    A straight angle
Correct answer is option 'A'. Can you explain this answer?

Vp Classes answered
The angle ∠AOB shown in the image is an obtuse angle because it is greater than 90° but less than 180°.
Correct answer: a) An obtuse angle

How do we write  is perpendicular to '' symbolically?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?

Get Idea answered
To express that one vector is perpendicular to another, simply place the symbol between the two vectors.

How many pairs of parallel lines are there in the given figure?  
  • a)
    2
  • b)
    1
  • c)
    4
  • d)
    3
Correct answer is option 'A'. Can you explain this answer?

Get Idea answered
The opposite sides of the rectangle are parallel to each other. There are two such pairs of sides:
  • The two horizontal sides are parallel to each other.
  • The two vertical sides are parallel to each other.
Thus, there are 2 pairs of parallel lines in a rectangle.
The correct answer is: a) 2.

Which is the longest rectangle ?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?

Devika Nair answered
By observing & comparing the given figures, rectangle B is the longest rectangle.

At 5:20 what type of angle is formed between the two hands of a clock?
  • a)
    An obtuse angle
  • b)
    A right angle
  • c)
    An acute angle
  • d)
    A reflex angle
Correct answer is option 'C'. Can you explain this answer?

Get Idea answered
  • The minute hand at 20 minutes points to the 4 on the clock.
  • The hour hand at 5:20 is slightly past the 5. Each hour mark represents 30 degrees (360 degrees/12 hours).
  • The angle between 5 and 4 is 30 degrees per hour mark, hence 30 + 10 = 40 degrees.
  • A 40-degree angle is acute, making the correct answer C: An acute angle.

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