St. Thomas Training CollegeMukkolakkal

Submitted by

LIKHA. KRegister no:18014386003

Year : 2014-2015

CONGRUENT

TRIANGLES

Real life examples of Congruent figures

Stack of coins placed one over the other.

Stack of CD placed over the other.

Mathematical examples of Congruent figures

oTwo circles having the same radii

oTwo triangles with the same measure.

The Theorems in Congruent Triangle

1. SSS

2. ASA

3. SAS

4. RHS

1. SSS Theorem

If three sides of a one triangle are equal to the

three sides of another triangle then those two

triangles are congruent.

2. ASA Theorem

If one side and two angles of a triangle are equal to the one side and the two angles on it of another triangle then those triangles are congruent.

3. SAS Theorem

It two sides and their included angle of one triangle is equal to the two sides and included angle of another triangle then they are congruent.

4. R.H.S Theorem

If the base and altitude of a right angled triangle are equal to the base and altitude of another right angled triangle then those two triangles are congruent.

Are they congruent? Why?

Ans: Yes

By R.H.S

THANK YOU