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PPT: Triangles

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T R I A N G L E S
Page 2


T R I A N G L E S
A closed figure with three sides is called a Triangle.
It has three vertex, sides and Angles.
What is a Triangle?
The term 'triangle' is
derived from 'tri,'
signifying 'three.'
Page 3


T R I A N G L E S
A closed figure with three sides is called a Triangle.
It has three vertex, sides and Angles.
What is a Triangle?
The term 'triangle' is
derived from 'tri,'
signifying 'three.'
Triangles
based on 
Sides
Page 4


T R I A N G L E S
A closed figure with three sides is called a Triangle.
It has three vertex, sides and Angles.
What is a Triangle?
The term 'triangle' is
derived from 'tri,'
signifying 'three.'
Triangles
based on 
Sides
Triangles
based on 
Angles
Page 5


T R I A N G L E S
A closed figure with three sides is called a Triangle.
It has three vertex, sides and Angles.
What is a Triangle?
The term 'triangle' is
derived from 'tri,'
signifying 'three.'
Triangles
based on 
Sides
Triangles
based on 
Angles
Congruence
If the shape and size of two figures are same then these are called Congruent.
 Two circles are
congruent if their
radii are same.
 Two squares are
congruent if their
sides are equal.
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FAQs on PPT: Triangles

1. What are the different types of triangles and how do I identify them in CBSE Class 9?
Ans. Triangles are classified by sides (equilateral, isosceles, scalene) and by angles (acute, right, obtuse). Equilateral triangles have all three sides equal; isosceles triangles have two equal sides; scalene triangles have all different sides. Angle-based classification depends on whether the largest angle is acute, right, or obtuse. Understanding these distinctions helps solve geometry problems efficiently.
2. How do I use the triangle congruence rules like SSS, SAS, and ASA to prove triangles are congruent?
Ans. Triangle congruence rules determine when two triangles are identical in shape and size. SSS (Side-Side-Side) means all three sides match; SAS (Side-Angle-Side) means two sides and the included angle match; ASA (Angle-Side-Angle) means two angles and the included side match. RHS (Right angle-Hypotenuse-Side) applies to right triangles. These criteria help verify congruence without measuring all angles.
3. What is the triangle inequality theorem and why does it matter for Class 9 geometry?
Ans. The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side. This fundamental property ensures a valid triangle exists before attempting calculations or proofs. For example, sides of 2, 3, and 6 cannot form a triangle because 2 + 3 < 6. It's essential for checking whether given measurements create a real triangle.
4. How do I solve problems involving angle sum properties and exterior angles in triangles?
Ans. The angle sum property confirms that all interior angles in a triangle equal 180°. The exterior angle theorem states that any exterior angle equals the sum of the two non-adjacent interior angles. These relationships allow students to find missing angles without measuring. Applying these properties systematically helps solve complex geometry questions in CBSE examinations.
5. What are isosceles and equilateral triangle properties that help me answer exam questions faster?
Ans. In isosceles triangles, angles opposite equal sides are equal, and the perpendicular from the apex bisects the base and vertex angle. Equilateral triangles have all angles measuring 60° and all sides equal. These specific properties enable quick problem-solving. Refer to mind maps and flashcards on EduRev to visualize these relationships and memorise them effectively for exams.
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