Telangana SCERT Class 6 Maths Chapter 5 Solution – Measures of Lines and Angles. Here in this post we provides Class 6 Maths Measures of Lines and Angles Telangana State Board Solution. Telangana State Board English Class VI Medium Students can download this Solution to Solve out Improve Your Learning Questions and Answers.
Telangana State Board Class 6 Maths Chapter 5 Measures of Lines and Angles Solution:
EXERCISE – 5.1
1.) Give any five examples of line segment observed in your classroom.
Eg: edge of black board.
ANSWER:
We write five examples of line segment.
Edge of cup board
Edge of walls of classroom.
Edge of tiles of classroom.
Edge of black board.
Edge of table.
Edges of a book.
2.) Why is it better to use a divider than a ruler, while comparing two line segments?
ANSWER:
When we measure with ruler there is error in measuring actual distance. Angular viewing is different in ruler.
To measure accurate distance divider is use.
3.) Measure all the line segments in the figure given below and arrange them in the ascending order of their lengths
Line Segments AB, AC, AD, AE, BC, BD, BE, CD, CE, DE
ANSWER:
We measure line segment by ruler and arranging in the ascending order of their lengths.
AB,BC,CD,DE, AC,BD,CE,AD,BE, AE.
Largest line segment is AE.
4.) Mid-point of AB is located by Swetha and Reshma like this
Which one do you feel correct? Measure the lengths of AC, CB and verify.
ANSWER:
By measuring length AB,
AC = CB where Reshma located.
Reshma located correct.
5.) Each of the figures given along side has many line segments. For the almirah we have shown one line segment along the longer edge. Identify and mark all such line segments in these figures.
ANSWER:
We have to show line segments in given figures.
EXERCISE – 5.2
1.) Write ‘True’ or ‘False’. Correct all those that are false.
i.) An angle smaller than right angle is acute angle ( )
ANSWER:
True.
An angle smaller than right angle is acute angle.
ii.) A right angle measures 180° ( )
ANSWER:
False.
A right angle measures 90°.
iii.) A straight angle measures 90° ( )
ANSWER:
False.
A straight angle measures 180°.
iv.) The measure greater than 180° is a reflex angle. ( )
ANSWER:
True.
The measure greater than 180° is a reflex angle.
v.) A complete angle measures 360°. ( )
ANSWER:
True.
A complete angle measures 360°.
2.) Which angles in the adjacent figure are acute and which are obtuse? Check your estimation by measuring them. Write their measures too.
ANSWER:
From given figure,
We know,
Acute angle is angle between 00 and 900
Obtuse angle is angle between 900 and 1800
We know,
Sum of adjacent angles is 1800
∠1 + ∠ 4 = 1800
∠2 + ∠ 3 = 1800
From figure,
Acute angles are∠1, ∠3.
Obtuse angles are∠2, ∠4.
3.) What is the measure of these angles. Which is the largest angle? Draw an angle larger than the largest angle.
∠ABC = ………. ∠FED = ………. ∠RQP = ……….
ANSWER:
We measure angles by protractor.
By measuring angles by protractor we get,
∠ABC = 60o
∠FED = 120o
∠RQP = 90o
∠FED is the largest angle.
4.) Write the type of angle formed between the long hand and short hand of a clock at the given timings. (Take the small hand as the base)
i.) At 9 ‘O’ clock in the morning.
ANSWER:
In clock, At 9 ‘O’ clock in the morning right angle is formed.
ii.) At 6 ‘O’ clock in the evening
ANSWER:
In clock,At 6 ‘O’ clock in the evening straight angle is formed.
iii.) At 12 noon
ANSWER:
In clock,At 12 noon, zero angle is formed.
iv.) At 4 ‘O’ clock in the afternoon
ANSWER:
In clock,At 4 ‘O’ clock in the afternoon, obtuse angleis formed.
v.) At 8 ‘O’ clock in the night.
ANSWER:
In clock, At 8 ‘O’ clock in the night, reflex angleis formed.
5.) Match the angles by measure. Draw figures for these as well.
Group A Group B
Acute angle 90°
Right angle 270°
Obtuse angle 45°
Reflex angle 180°
Straight angle 150°
ANSWER:
Group A Group B
Acute angle 45°
Right angle 90°
Obtuse angle 150°
Reflex angle 270°
Straight angle 180°
EXERCISE – 5.3
1.) Which of the following are models for parallel lines, perpendicular lines and which neither of them are.
i) The vertical window bars
ANSWER:
From the given we have to find models for parallel lines, perpendicular lines and which are neither of them.
We know,
If two lines on a plane do not intersect each other at anypoint, they are called parallel lines.
If two lines intersect each other at right angle, then the linesare perpendicular.
The vertical window bars are Parallel lines.
ii) Railway lines (track)
ANSWER:
From the given we have to find models for parallel lines, perpendicular lines and which are neither of them.
We know,
If two lines on a plane do not intersect each other at any point, they are called parallel lines.
If two lines intersect each other at right angle, then the lines are perpendicular.
Railway lines (track) are Parallel lines.
iii) The adjacent edges of door.
ANSWER:
From the given we have to find models for parallel lines, perpendicular lines and which are neither of them.
We know,
If two lines on a plane do not intersect each other at any point, they are called parallel lines.
If two lines intersect each other at right angle, then the lines are perpendicular.
The adjacent edges of door are perpendicularlines.
IV) The letter ‘V’ in English alphabet
ANSWER:
From the given we have to find models for parallel lines, perpendicular lines and which are neither of them.
We know,
If two lines on a plane do not intersect each other at any point, they are called parallel lines.
If two lines intersect each other at right angle, then the lines are perpendicular.
The letter ‘V’ in English alphabet is neither of them.
v) The opposite edges of Black Board.
ANSWER:
From the given we have to find models for parallel lines, perpendicular lines and which are neither of them.
We know,
If two lines on a plane do not intersect each other at any point, they are called parallel lines.
If two lines intersect each other at right angle, then the lines are perpendicular.
The opposite edges of Black Board are Parallel lines.
3.) ABCD is a rectangle. AC and BD are diagonals. Write the pairs of parallel lines, perpendicular lines and intersecting lines from the figure in symbolic form.
Given, ABCD is a rectangle. AC and BD are diagonals.
We have to write the pairs of parallel lines, perpendicular lines and intersecting lines from the figure in symbolic form.
a) Parallel lines
ANSWER:
From figure,
Parallel lines are AB||CD, AD||BC
b) Perpendicular lines
ANSWER:
From figure,
Perpendicular lines are AD ⊥ AB, AB ⊥ BC, BC ⊥ CD, CD ⊥ DA.
c) Pair of intersecting lines
ANSWER:
From figure,
Pair of intersecting lines are AC, BD.