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 PropertiesTriangle is a simple closed curve made of three non-collinear points joined together.

Triangle has three vertices, three sides and three

angles.

In Δ ABC

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 Triangle

Right Triangle

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