This document discusses properties of triangles, including classifications based on sides (equilateral, isosceles, scalene) and angles (acute). It outlines key properties such as: the sum of interior angles is 180 degrees; the exterior angle is equal to the sum of the two non-adjacent interior angles; and the triangle inequality stating the sum of any two sides must be greater than the third side. Congruence of triangles is also discussed, noting triangles are congruent when corresponding sides and angles are equal, and can be proven using ASA, SAS, or SSS criteria.

1. TRIANGLES AND
ITS
PROPERTIES…
OJASVITA CHAUHAN
VII
MATHEMATICS

3. What is a TRIANGLE???

4. Triangles according to
sides:
Equilateral Triangle
Isosceles Triangle
Scalene Triangle
Triangles according to
angles:
Acute Angle Triangle

7. This property states that the
sum of all angles of a triangle is
equal to 180 degrees.

8. Exterior Angle Property
This property states that the angle formed
on the extension of any side of the triangle
is equal to the sum of any two interior
angles.

9. Triangle Inequality
Property
A property which states that the sum of the
lengths of any two sides of a triangle must
be greater than the length of the third side.

11. CONGRUENCE of Triangles….
Triangles are congruent when all
corresponding sides and interior angles are
congruent. The triangles will have the same
shape and size, but one may be a mirror
image of the other. Two triangles can be
congruent by the following ways:
ASA: Angle Side Angle
SAS: Side Angle Side
SSS: Side Side Side

12. THANK YOU