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NCERT Textbook: Shapes and Angles | Mathematics for Class 5: NCERT PDF Download

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16
It is important to encourage children to think about the way in which shapes can differ even
when the number of sides is the same. This will help them to get a sense of how angles
determinetheshapeofapolygon.
17
Oh! So let us look
for the angles.
If you ask for the
angles that the
matchsticks make at the
corners, you can do it.
Wow! When the angle
changes the shape
changes so much.
See, how the matchsticks
make a small angle , a
big angle , and a
bigger angle .
Rohini Mohini
Rohinimadethisshape.
Mohini—Isitaclosedshapeoranopenshape?
Rohini Itisaclosedshape.
Mohini Howmanysidesarethere?
Rohini Ithas6sides.
Mohinimadethis.
Nowyougivetheanswers.
—
—
—
Oh! That is
so simple.
2
Shapes and Angles
Rohini and Mohini are twin sisters. They love doing the same
things.Onedaywhentheyweremakingshapeswithmatchsticks,
Shailagavethemachallenge.
Rohini will make a shape.
Mohini has to make the
same without looking at it,
but she can ask questions.
Isitaclosedshape? Doesithave
6sides? .
sameastheonemadeby
Rohini SoMohinitriedagain.
Thisiswhatshemade.
_______.
Butitisnotthe
.
________
Reprint 2024-25
Page 2


16
It is important to encourage children to think about the way in which shapes can differ even
when the number of sides is the same. This will help them to get a sense of how angles
determinetheshapeofapolygon.
17
Oh! So let us look
for the angles.
If you ask for the
angles that the
matchsticks make at the
corners, you can do it.
Wow! When the angle
changes the shape
changes so much.
See, how the matchsticks
make a small angle , a
big angle , and a
bigger angle .
Rohini Mohini
Rohinimadethisshape.
Mohini—Isitaclosedshapeoranopenshape?
Rohini Itisaclosedshape.
Mohini Howmanysidesarethere?
Rohini Ithas6sides.
Mohinimadethis.
Nowyougivetheanswers.
—
—
—
Oh! That is
so simple.
2
Shapes and Angles
Rohini and Mohini are twin sisters. They love doing the same
things.Onedaywhentheyweremakingshapeswithmatchsticks,
Shailagavethemachallenge.
Rohini will make a shape.
Mohini has to make the
same without looking at it,
but she can ask questions.
Isitaclosedshape? Doesithave
6sides? .
sameastheonemadeby
Rohini SoMohinitriedagain.
Thisiswhatshemade.
_______.
Butitisnotthe
.
________
Reprint 2024-25 Reprint 2024-25
Page 3


16
It is important to encourage children to think about the way in which shapes can differ even
when the number of sides is the same. This will help them to get a sense of how angles
determinetheshapeofapolygon.
17
Oh! So let us look
for the angles.
If you ask for the
angles that the
matchsticks make at the
corners, you can do it.
Wow! When the angle
changes the shape
changes so much.
See, how the matchsticks
make a small angle , a
big angle , and a
bigger angle .
Rohini Mohini
Rohinimadethisshape.
Mohini—Isitaclosedshapeoranopenshape?
Rohini Itisaclosedshape.
Mohini Howmanysidesarethere?
Rohini Ithas6sides.
Mohinimadethis.
Nowyougivetheanswers.
—
—
—
Oh! That is
so simple.
2
Shapes and Angles
Rohini and Mohini are twin sisters. They love doing the same
things.Onedaywhentheyweremakingshapeswithmatchsticks,
Shailagavethemachallenge.
Rohini will make a shape.
Mohini has to make the
same without looking at it,
but she can ask questions.
Isitaclosedshape? Doesithave
6sides? .
sameastheonemadeby
Rohini SoMohinitriedagain.
Thisiswhatshemade.
_______.
Butitisnotthe
.
________
Reprint 2024-25 Reprint 2024-25
18
3) Four different angles are marked in four colours. Can you find 
other angles which are the same as the one marked in red? 
Mark them in red. Do this for the other colours.
Practice Time
1) Look at the shape and answer.
 The angle marked in ________ colour is the biggest angle. h
2 (a) Are the angles marked with yellow equal? ________
 b) Are the angles marked with green equal? ________
c) Are the angles marked with blue equal? ________
Reprint 2024-25
Page 4


16
It is important to encourage children to think about the way in which shapes can differ even
when the number of sides is the same. This will help them to get a sense of how angles
determinetheshapeofapolygon.
17
Oh! So let us look
for the angles.
If you ask for the
angles that the
matchsticks make at the
corners, you can do it.
Wow! When the angle
changes the shape
changes so much.
See, how the matchsticks
make a small angle , a
big angle , and a
bigger angle .
Rohini Mohini
Rohinimadethisshape.
Mohini—Isitaclosedshapeoranopenshape?
Rohini Itisaclosedshape.
Mohini Howmanysidesarethere?
Rohini Ithas6sides.
Mohinimadethis.
Nowyougivetheanswers.
—
—
—
Oh! That is
so simple.
2
Shapes and Angles
Rohini and Mohini are twin sisters. They love doing the same
things.Onedaywhentheyweremakingshapeswithmatchsticks,
Shailagavethemachallenge.
Rohini will make a shape.
Mohini has to make the
same without looking at it,
but she can ask questions.
Isitaclosedshape? Doesithave
6sides? .
sameastheonemadeby
Rohini SoMohinitriedagain.
Thisiswhatshemade.
_______.
Butitisnotthe
.
________
Reprint 2024-25 Reprint 2024-25
18
3) Four different angles are marked in four colours. Can you find 
other angles which are the same as the one marked in red? 
Mark them in red. Do this for the other colours.
Practice Time
1) Look at the shape and answer.
 The angle marked in ________ colour is the biggest angle. h
2 (a) Are the angles marked with yellow equal? ________
 b) Are the angles marked with green equal? ________
c) Are the angles marked with blue equal? ________
Reprint 2024-25 Reprint 2024-25
Page 5


16
It is important to encourage children to think about the way in which shapes can differ even
when the number of sides is the same. This will help them to get a sense of how angles
determinetheshapeofapolygon.
17
Oh! So let us look
for the angles.
If you ask for the
angles that the
matchsticks make at the
corners, you can do it.
Wow! When the angle
changes the shape
changes so much.
See, how the matchsticks
make a small angle , a
big angle , and a
bigger angle .
Rohini Mohini
Rohinimadethisshape.
Mohini—Isitaclosedshapeoranopenshape?
Rohini Itisaclosedshape.
Mohini Howmanysidesarethere?
Rohini Ithas6sides.
Mohinimadethis.
Nowyougivetheanswers.
—
—
—
Oh! That is
so simple.
2
Shapes and Angles
Rohini and Mohini are twin sisters. They love doing the same
things.Onedaywhentheyweremakingshapeswithmatchsticks,
Shailagavethemachallenge.
Rohini will make a shape.
Mohini has to make the
same without looking at it,
but she can ask questions.
Isitaclosedshape? Doesithave
6sides? .
sameastheonemadeby
Rohini SoMohinitriedagain.
Thisiswhatshemade.
_______.
Butitisnotthe
.
________
Reprint 2024-25 Reprint 2024-25
18
3) Four different angles are marked in four colours. Can you find 
other angles which are the same as the one marked in red? 
Mark them in red. Do this for the other colours.
Practice Time
1) Look at the shape and answer.
 The angle marked in ________ colour is the biggest angle. h
2 (a) Are the angles marked with yellow equal? ________
 b) Are the angles marked with green equal? ________
c) Are the angles marked with blue equal? ________
Reprint 2024-25 Reprint 2024-25 Reprint 2024-25
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FAQs on NCERT Textbook: Shapes and Angles - Mathematics for Class 5: NCERT

1. What are shapes and angles?
Ans. Shapes are figures formed by joining lines. An angle is the measure of the amount of rotation between two lines about their common endpoint. Shapes can be classified into various categories such as polygons, circles, quadrilaterals, etc. Angles can be measured in degrees and are classified based on their measure, such as acute, obtuse, right, straight, etc.
2. What is the importance of learning about shapes and angles?
Ans. Learning about shapes and angles is essential as it helps in developing spatial skills and understanding the world around us. It is used in various fields such as architecture, engineering, art, and design. Understanding shapes and angles can help in solving real-life problems and making accurate measurements.
3. What are the types of angles?
Ans. There are different types of angles such as acute, right, obtuse, straight, reflex, and full rotation angles. An acute angle is an angle that measures less than 90 degrees, a right angle measures exactly 90 degrees, an obtuse angle measures more than 90 degrees but less than 180 degrees, a straight angle measures exactly 180 degrees, a reflex angle measures more than 180 degrees but less than 360 degrees, and a full rotation angle measures exactly 360 degrees.
4. How can one measure angles accurately?
Ans. Angles can be measured using a protractor. To measure an angle, place the protractor on the vertex of the angle such that the base of the protractor aligns with one of the sides of the angle. Then, read the measure on the protractor where the other side of the angle intersects the protractor. It is important to ensure that the protractor is placed accurately and the sides of the angle are aligned with the correct markings on the protractor.
5. What are the properties of different shapes?
Ans. Different shapes have different properties. For example, a square has four sides of equal length and four right angles, a rectangle has four right angles but opposite sides are of equal length, a parallelogram has opposite sides that are parallel and equal in length, a triangle has three sides and three angles, and a circle has no sides or angles but has a circumference and a radius. Understanding the properties of different shapes can help in identifying and classifying them accurately.
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