We have to learn in the previous part Point, Ray, Line, Angle etc. Here we learn the Segment, Triangle, Square, Rectangle, Circle etc. **Second Part of Geometrical Shape Fun**

**What is segment?**

**In geometry,** A line segment has two fixed points or definite endpoints. It is a part of a line which is bounded by two distinct point on it. We can say that a line segment is a part of a line that connects two fixed points. It can be measured in Centimetre, Metre, Kilometre etc.

**Let see in the above figure,** A line segment AB, It has two fixed points A and B. Which is connect with a line. It can be measured by the ruler either in centimetre or in metre. It is represented by

**How to find the line segment from a line?**

**Here, see the figure below,** A line has two points A and B. The section between two points A and B is the line segment AB. This segment cut out from the line and measure it. Suppose its length is 5 cm.

= 5 cms. It has the fixed length. It is used for the following geometrical shape. Like Triangle, Square, Rectangle etc.

Use of line segments in various geometrical shape like Triangle, Square, Rectangle, Rhombus, Quadrilateral, Parallelogram etc. We can see the use of line segment below.

**# A triangle has three line segments.**

**# A square has four line segments.**

**What is triangle?**

**In geometry,** Let see the figure below, A triangle is surrounded by three line segment AB, BC and CA in a plane. Each segments are called the side of a triangle. Side AB, Side BC and Side CA. It has three points, which is called the vertex. It is named as Vertex A, Vertex B and Vertex C. Each vertex is connected with a line segment. Its coloured part is called the triangle ∆ABC. It has three internal angle A, B and C. The angle is formed by two sides. **Second Part of Geometrical Shape Fun**

#For angle A between the side AB and side AC

# For angle B between the side AB and side BC

# For angle C between the side BC and side CA

**Some easier properties of triangle:**

# It is surrounded by three sides.

# It has three sides.

# It has three vertices.

# It has three line segments.

# It has three angles.

# The sum of all the three internal angle is 180^{0}.

**What is square?**

**In geometry,** A plane figure is surround by the four equal sides and each sides are perpendicular to each other. The four sides are AB, BC, CD and DA. All these sides are equal in length. AB = BC = CD = DA =a. It has four vertices A, B, C and D. The two sides forms a right angle. i.e. 90^{0}. 90^{0} is called the right angle. A square has a right angle at each vertex A, B, C and D. **Second Part of Geometrical Shape Fun**

**Perimeter of a square:**

**See the figure below,** The perimeter of a square is the sum of the length of side AB, BD, DC and AC. Here, given the length of side of square is ‘a’. AB = BD = DC = CA = a

Hence, The perimeter of square ABDC

= AB + BD + DC + CA

= a + a + a + a = 4a

= 4 x Side

###### The perimeter of a square is the sum of four sides.

**Diagonal of a square:**

**As shown in above figure,** A square has two diagonals AD and BC. The diagonal AD has been drawn between the two vertices A and D with a line segment. Another, Diagonal BC has been drawn between the two other vertices B and C. The diagonal of a square is always larger than each sides. The sum of two sides is always larger than the diagonal of a square.

**Angles of a square:**

**As shown in above figure,** A square has four angles. i.e. Angle P, Angle Q, Angle S and Angle R. Each angles are a right angle (90^{0}). The sum of all the four angles of a square is equal to 360^{0}.

The sum of four angles of a square PQSR

= Angle P + Angle Q + Angle S + Angle R

= 90^{0} + 90^{0} + 90^{0} + 90^{0}

= 360^{0}

**Area of a square:**

**As shown in above figure,** A square has been drawn with a side ‘a’. We just know the area of a given square is ‘a^{2}’. We will explain in details in other post.

The area of a square ABDC

= Side x Side

= AB x BD

= a x a

= a^{2}

= (Side)^{2}

The area of a square is the product of two sides.

**Properties of a square:**

# A square is surrounded by four equal sides.

# It has four equal sides.

# It has four equal angles.

# Each angles are a right angle.

# The sum of four equal angles is 360^{0}.

# It has four vertices.

# It has two equal diagonals.

# The perimeter of a square is the sum of four sides.

# The area of a square is the product of two sides.

# Perimeter = 4 x Side

# Area = (Side)^{2}

**What is rectangle?**

**As shown in above figure,** In geometry, Rectangle is drawn on a plane paper. A rectangle is surrounded by four sides. i.e. AB, BC, CD and DA. Whose two sides are equal in length. The length of each side is equal to the front side of a rectangle. We can say that the opposite sides are equal in length. Here, AB = a; BC = b; CD = a; AD = b; Where, AB = CD = a and BC = AD = b. **Second Part of Geometrical Shape Fun**

**As shown in above figure,** A square has four vertices A, B, C and D. It has four equal angles. Which is right angle at each vertex A, B, C and D. Here, Angle A = Angle B = Angle C = Angle D = 90^{0}.

**As shown in above figure,** A square has two equal diagonals AC and BD. Both the diagonals are equal in length. Here, AC = BD.

**The perimeter of a rectangle:**

**As shown in above figure,** A rectangle has four sides and every opposite sides are equal in length. Here, AB = a; BC = b; CD = a; AD = b; Where, AB = CD = a and BC = AD = b. The perimeter of a rectangle is the sum of all the sides AB, BC, CD and AD.

The perimeter of rectangle ABCD

= AB + BC + CD + AD

= a + b + a + b

= 2a + 2b

= 2 (a + b)

= 2 x ( length + width)

**The area of a rectangle:**

**As shown in above figure,** A rectangle has four sides and every opposite sides are equal in length. Here, AB = a; BC = b; CD = a; AD = b; Where, AB = CD = a and BC = AD = b. The area of a rectangle is the product of two adjacent sides AB and BC.

The area of a rectangle ABCD

= AB x BC

= BC x CD

= CD x DA

= DA x AB

= a x b

= length x width

**The angle of a rectangle:**

**As shown in above figure,** A square has four vertices A, B, C and D. It has four equal angles. Which is right angle at each vertex A, B, C and D. Here, Angle A = Angle B = Angle C = Angle D = 90^{0}. The sum of all the four angles of a rectangle is 360^{0}.

The sum of all the four angle of a rectangle ABCD

= Angle A + Angle B + Angle C + Angle D

= 90^{0} + 90^{0} + 90^{0} + 90^{0}

= 360^{0}

**Properties of a rectangle:**

# A rectangle is surrounded by four sides.

# Its opposite sides are equal in length.

# It has four vertices.

# It has four equal angles.

# Each angles are a right angle.

# The sum of four equal angles is 360^{0}.

# The angle between two adjacent side is right angle.

# It has two equal diagonals.

# The perimeter of a rectangle is the sum of four sides.

# The area of a rectangle is the product of two adjacent sides.

# Perimeter = 2 x (length + width)

# Area = (length x width)

There is only brief information of the geometrical shape. Later on, We will learn in detail of each geometrical shape separately and solve the important problems on it. Please subscribe the website for the updates on every topics in details and share it to yours friends.

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