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