NCERT Workbook Solutions For Class 3 Chapter 6 Geometry

NCERT Workbook Solutions For Class 3 Chapter 6 Geometry

Concept Review Introduction

Geometry is a branch of mathematics that deals with properties and measurements of different points, lines, shapes, angles, etc. Geometry Is derived from two ancient Greek words, ego – earth” and melton – “measurement”.

• In euclidean geometry, there are two-dimensional (2 d) and three-dimensional (3 d) shapes. angle is a measurement formed when two lines or rays meet at a point.
• We study different shapes in geometry such as triangle, squares are all polygons. polygons are closed figures formed from Joining line segments.
• we see different tessellations, tangrams around us where geometry is applied.

Read and Learn More Class 3 Workbook Solutions

Basic Concepts Of Geometry

A shapes the form of an object, its outline or border. shapes are made of points, lines, curves, angles, and plane surfaces. the general terms used in geometry shapes are as follows.

Curve

When a line is smooth flowing and does not have any sharp turns, it is called a curve.

Curve Example: The outline of the ceiling fan, The transparent Glass Of The Washing Machine.

Curves that Join to form an enclosed Area Are called closed curves And curves That Do not Intersect are called open curves

Angles

The Inclination between two rays is called an Angle. In geometry, an Angle Is The Measurement between Two Rays Meeting At A Point, Called a Vertex. The Two Rays Are Called The Arms of the angle. we use a tool called Protractor To Measure Angles.

• The Arms Meet At Vertex.
• The Unit Of Angle Is Degrees.

As The Arms Turn, The Angle Changes

We Can See Angles In Real Life From The Flip Of A Page To The Construction Of A Building. Types Of Angles Can Be Easily Understood By Observing The Hands Of A Clock.

Types Of Angles

1. Acute angle Is less than 90°.
2. Right angle Is equal To 90°.
3. Obtuse angle Is more than 90°.
4. Straight angle Is Equal To 180°.
5. Reflex angle Is greater Than 180′ but less than 360°.
6. The complete angle Is equal to 360°

NCERT Workbook Solutions For Class 3 Basics Concepts Of Geometry

Question 1. Choose The Correct Alternative.

1. Which Of The Following Is A Ray?

1. Book Outline
2. A Stick
3. Sun Light
4. A Rope

Answer: 3. Sun Light

2. Identify The Line Segments In the given figure

1. \(\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{CD}} \text { and } \overline{\mathrm{AD}}\)
2. \(\overline{\mathrm{AD}} \text { and } \overline{\mathrm{AB}}\)
3. \(\overline{\mathrm{AD}} \text { and } \overline{\mathrm{CD}}\)
4. \(\overline{\mathrm{AB}} \text { and } \overline{\mathrm{CD}}\)

Answer: 1. \(\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{CD}} \text { and } \overline{\mathrm{AD}}\)\

3. Which Of The Following Alphabets Have Perpendicular Lines

1. A
2. M
3. H
4. R

Answer: 3. H

4. How Many Sets Of parallel lines are there In the Outline Of a television Screen

1. 1
2. 4
3. 2
4. 3

Answer: 2. 4

5. Which Of The Following Is A Straight Line?

Answer: 2. Straight line

6. Which Of The Figures Represent Intersecting Lines?

Answer: 3. Intersecting lines

Question 2. Match The Column-1 With Column-2.

Answer. (1) → C, (2) → A, (3) → B

Question 3. State Whether The Following Statements Are True Or False.

1. An angle measure of 180° is called a straight angle.
Answer: True

2. The surface of earth Is covered with Infinite points.
Answer: False

3. A-Line does not have a fixed length.
Answer: False

4. any two perpendicular Lines can be Intersecting lines but their reverse Is not true.
Answer: True

Question 5. Short Answer Type Questions.

1. What Is The Angle formed between the hands of a clock when the time Is 9 O’clock?
Answer: Right Angle

NCERT Workbook Solutions For Class 3 Shapes 2d And 3d

• Flat shapes are called 2d shapes or two-dimensional shapes
• Solid objects are 3d shapes or three-dimensional objects.

2d Shapes

Figures that can be drawn on a Plane or paper are called two dimensional Or 2d Shapes. they have only Length and breadth. they do not have Any thickness such that 2d shapes can have sides and corners or curved boundaries.

2d Shapes which Are closed and Have straight sides are called polygons. poly means ‘many’ and Gon means ‘sides’.

Polygons Of different sides and their names

3d Shapes

Solids Or 3d shapes as the name suggests have three dimensions – length, breadth, and height. they can be either hollow or solid. 3d shapes can have either a flat surface or a curved surface.

we use the following terms to define a 3d shape – faces, edges, and vertices.

NCERT Workbook Solutions For Class 3 Shapes 2d And 3d

Question 1. Choose The Correct Alternative.

1. The cube And cuboid have an equal number of _______

1. Faces and vertices
2. Faces and vertices
3. Faces
4. Vertices

Answer: 3. Faces

2. Which of these statements does not define a circle?

1. A circle is A Polygon.
2. A circle is A closed curve
3. A circle has Radius
4. A circle has one Centre

Answer: 2. A circle is a Polygon.

3. Which Of these options is not a quadrilateral?

1. Square □
2. Rectangle ▭
3. Triangle △
4. Kite ⟡

Answer: 3. Triangle

4. How many squares are there in the given rectangle?

1. 1
2. 4
3. 2
4. 3

Answer: 4. 3

5. How many triangles are there in this figure?

1. 8
2. 3
3. 6
4. 5

Answer: 2. 3

6. How many vertices does a sphere have?

1. 0
2. 1
3. 2
4. 3

Answer: 1. 0

Question 2. match the column-1 with column-2

Answer. (1) → E, (2) → A, (3) → D, (4) → C, (5) → B

Question 3. State Whether The Following Statements Are True Or False

1. A Hollow cylinder is formed when you roll a paper along a side
Answer: True

2. A cube has 8 Squares As Its Faces.
Answer: False

3. There are 3 edges in a cone
Answer: False

Question 7. Activity Corners

Observe the figure and answer the following.

Number Of Circles = 5

Number Of Triangles = 16

Difference Between Triangles And Circles = 16 – 5 = 11

NCERT Workbook Solutions For Class 3 Application Of Geometry

Polygons have various applications in our life. They are paper folding or the art of Origami, tangrams, tessellations and map reading.

Paper folding or the art of origami

Origami Is the art of paper folding Associated with the Japanese culture. with this method, It Is possible to create different shapes from a single piece of paper, without cutting. construction through paper folding Is both mathematically Interesting and pleasing to look at

Origami Sailboat

Tangrams

A Tangram Has 7 Geometric shaped sheets or blocks: 5 triangles, 1 square And 1 parallelogram. these 7 shapes can be Arranged In Different ways to form different shapes or figures.

Rules of a tangram puzzle.

Rule 1: All 7 Pieces Should Be Used.

Rule 2: No Piece Should Overlap.

Rule 3: Each Piece Should Touch One Another.

Benefits of tangram: It Helps Us To Understand spatial relationships and problem solving skills.

Some Tangram Puzzle Solutions

Tessellation

Tessellation or tiling Is covering a given plane with shapes and without any overlap or gaps.

Regular Tessellation

Regular tessellations are created with regular polygons (Polygons whose all sides are equal In length). there are only three regular tessellations: those made up of equilateral triangles, squares or regular hexagons.

The honey comb Is a well-known example of tessellation in nature with Its hexagonal cells.

Map Reading

• A map Is A Flat drawing which helps us to know the details of a place and Directions.
• The basic components of a map are compass, title, legend or key and symbols.
• A grid enables us to say the exact location of a particular symbol.

Example:

Title: It Indicates the purpose of the theme of the map. example-world, India, political, etc. given here is a simple map of a town.

Compass: It shows the directions east, west, north and south using the compass, we can say that the school is in the western side of the railroad and the restaurant Is to the east of the railroad.

Legend or key: It gives the list of symbols used In the map symbols: symbols are figures used to represent real life structures.

Application Of Geometry

Question 1. Choose The Correct Alternative.

1. Identify the number of triangles seen in the origami swan.

1. 4
2. 5
3. 6
4. None

Answer: 2. 6

2. The number of quadrilaterals in a tangram puzzle are

1. 7
2. 5
3. 4
4. 2

Answer: 2. 5

3. Identify the number of sides of the polygon in the middle of the tessellation

1. 10
2. 11
3. 12
4. 13

Answer: 4. 13

5. The polygon which forms this tessellation with its mirror image is

1. Hexagon
2. Pentagon
3. Heptagon
4. Octagon

Answer: 1. Hexagon

Question 2. Match The Column-1 With Column-2.

Match the columns and select the correct option

Answer. (1) → C, (2) → A, (3) → B

Question 3. State Whether The Following Statements Are True Or False.

1. There are five squares in a tangram puzzle.
Answer: False

2. The symbols in a map represent real life structures
Answer: True

Question 4. Fill In The Blanks.

(Use The map and key to complete the following)

1. The _________ is in D4 and the bus stop is in______
Answer: The Book is in D4 and the bus stop is in B2

2. ________ is in C5 and _____ is to the west of bus stop
Answer: School is in C5 and D5 is to the west of bus stop