The document discusses congruent triangles and the conditions for proving triangles are congruent. There are three conditions for congruence: (1) side-side-side, where all three sides of one triangle are equal to the corresponding sides of the other triangle; (2) side-angle-side, where two sides and the angle between them in one triangle are equal to the corresponding parts in the other triangle; and (3) angle-side-angle, where two angles and the side between them in one triangle are equal to the corresponding parts in the other triangle. Examples are provided to demonstrate proving triangles congruent using these three conditions.

1. Congruence
 Congruent
•The Conditions
• Congruent Triangles
Click what you want
to learn

2. Congruent
a) The all sides of
corresponding sides are
equal The Conditions for
b) The angles of Similarity of
Corresponding sides Two Plane Figures are:
are equal
c) The shapes of both
figure are same

3. Congruent Triangle
The example:
A D a) The Corresponding sides
a)
(look the same sign) are:
C B F E AC with DF, AB with
R U V DE, and BC with EF
b)
b) Equal angle of
S T Corresponding side:
W <R with <W, <S with
c)
<V, and <T with <U
c) Both of Plane Figures are
Triangle

4. Congruent Triangles
To Prove that 2 Triangles are
Congruent:
A 6cm a) Side, Side, Side
T U
The all sides are in equal
7cm 7cm 5cm
5cm
B S
C 6cm

5. Congruent Triangles
To Prove that 2 Triangles are
Congruent:
A 6cm
U b) Two Sides, One Angle
T 45 The angle coincided by two
7cm 7cm sides (AB and BC or UT
and TS)
45 B
6cm
S
C

6. Congruent Triangles
A 6cm To Prove that 2 Triangles are
T 45 90
U
Congruent:
c) Two Angles, One Side
45
1. The angles known on the
90 B S
C 6cm side
A 6cm 2.The side face to one of two
T 90 U
55 angles
55
90 6cm B S
C

7. Example
Answer:
We prove it based on the
condition, that we have learn
before. We look for the same
C
B
sign: E
• <CAE equal to <EBD
• CE equal to ED A
• <CEA equal to <BED (It hasn’t D
sign, but it’s vertical angles
Prove that ACE and BDE
The Conclusion: ACE are congruent
and BDE are congruent