Download triangles and congruence

GROUP 3 :
1. Annisa Luthfi FM
2. Nadiatul Khikmah
3. Rizqi Dwi Maharani
4. Rosyida Khikmawati
TRIANGLES AND
CONGRUENCE
Definition congruent
 In
geometry, figures that have the same
size and shape are could congruent.
Definition
 Two
triangles are congruent if there is a
correspondence between the vertices
such that each pair corresponding sides
and angles are congruent.
Congruence Postulates
 SAS
Congruence Postulate
if two sides and the included angle of the one triangle
are congruence respectively to two sides and the
included angle of another triangle, then the two
triangles are congruent
 ASA
Congruence Postulate
if two angles and the included side of
the one triangle are congruence
respectively to two angles and the
included side of another triangle, then
the two triangles are congruent
 SSS
Congruence Postulate
if all three sides of one triangle are
congruence respectively to all three
sides of another triangle, then the two
triangles are congruent
Using the congruence
postulates
 to
prove two triangles congruent, we
begin with given information and use
pattern of deductive reasoning to
conclude that they are indeed
congruent. Affirming the hypothesis is the
pattern most often used, as describe next
slideshow
The SSS Postulate has the
general form
If
all three sides of one
triangle are congruent
respectively to all three
sides of another triangle
then
The two triangles are
congruent
The SAS Postulate has the
general form
if
two sides and the included
angle of the one triangle
are congruence
respectively to two sides
and the included angle of
another triangle
Then
The two triangles are
congruent
The ASA Postulate has the
general form
If
two angles and the
included side of the one
triangle are congruence
respectively to two angles
and the included side of
another triangle
Then
The two triangles are
congruent