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Collinear Points
non-Collinear Points
•
The points which lie on the same line and
on same plain are called collinear
points
•
The points which does not lie on the same
line are called Non-collinear
points
the triangle and its
ProPerties
Triangle is a simple closed curve made of three non-
collinear points joined together.
Triangle has three vertices, three sides and three angles.

In ABCΔ
Sides:- AB , BC and CA
Angles:- ∠BAC, ∠ABC and ∠BCA
Vertices:- A, B and C
Based on the sides

Scalene Triangles

No equal sides

No equal angles

Isosceles Triangles

Two equal sides 

Two equal angles

Equilateral Triangles

Three equal sides

Three equal angles,
always 60°
types of triangles
Scalene
Isosceles
Equilateral
types of triangles
Based on Angles

Acute-angled Triangle

All angles are less than 90°

Obtuse-angled Triangle

Has an angle more than 90°

Right-angled triangles

Has a right angle (90°)
Acute
T
r
i
a
n
g
l
e
Right
T
r
i
a
n
g
l
e
Obtuse
Triangle
Congurent triangles
•
Two triangles can be congurent by:-
•
Side-angle-side rule (SAS rule)
•
Angle-side-angle rule (ASA rule)
•
Side-side-side rule (SSS rule)
•
Angle-angle-side rule (AAS rule)
•
Right-hypotunes-side rule (RHS rule)
SAS RULE
Two triangles are congurent if the
two side and an including angle of
a triangle is equal to two sides and
an including angle of
corresponding TRIANGLE
ASA RULE
Two triangles are congurent if the two
angles and an including side of a
triangle is equal to two angles and an
including side of corresponding
TRIANGLE
SSS RULE
Two triangles are congurent if the all
three sides of a triangle is equal to all
three sides of corresponding TRIANGLE
AAS RULE
Two triangles are congurent if the
two angles and an non-including
side of a triangle is equal to two
angles and an non-including side of
corresponding TRIANGLE
RHS RULE
Two triangles are congurent in a
right angled triangle if hypt. and one
side of a triangle is equal to hypt.
and one side of corresponding right
angled triangle
triangle and its properties

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triangle and its properties

  • 1.
  • 2. Collinear Points non-Collinear Points • The points which lie on the same line and on same plain are called collinear points • The points which does not lie on the same line are called Non-collinear points
  • 3. the triangle and its ProPerties Triangle is a simple closed curve made of three non- collinear points joined together. Triangle has three vertices, three sides and three angles.  In ABCΔ Sides:- AB , BC and CA Angles:- ∠BAC, ∠ABC and ∠BCA Vertices:- A, B and C
  • 4. Based on the sides  Scalene Triangles  No equal sides  No equal angles  Isosceles Triangles  Two equal sides   Two equal angles  Equilateral Triangles  Three equal sides  Three equal angles, always 60° types of triangles Scalene Isosceles Equilateral
  • 5. types of triangles Based on Angles  Acute-angled Triangle  All angles are less than 90°  Obtuse-angled Triangle  Has an angle more than 90°  Right-angled triangles  Has a right angle (90°) Acute T r i a n g l e Right T r i a n g l e Obtuse Triangle
  • 6. Congurent triangles • Two triangles can be congurent by:- • Side-angle-side rule (SAS rule) • Angle-side-angle rule (ASA rule) • Side-side-side rule (SSS rule) • Angle-angle-side rule (AAS rule) • Right-hypotunes-side rule (RHS rule)
  • 7. SAS RULE Two triangles are congurent if the two side and an including angle of a triangle is equal to two sides and an including angle of corresponding TRIANGLE
  • 8. ASA RULE Two triangles are congurent if the two angles and an including side of a triangle is equal to two angles and an including side of corresponding TRIANGLE
  • 9. SSS RULE Two triangles are congurent if the all three sides of a triangle is equal to all three sides of corresponding TRIANGLE
  • 10. AAS RULE Two triangles are congurent if the two angles and an non-including side of a triangle is equal to two angles and an non-including side of corresponding TRIANGLE
  • 11. RHS RULE Two triangles are congurent in a right angled triangle if hypt. and one side of a triangle is equal to hypt. and one side of corresponding right angled triangle