mathematics - congruence
TRANSCRIPT
Congruence
Congruent•The Conditions• Congruent Triangles• How to prove that• Exercise’s example Click what you want
to learn
Conditions of Congruent
The Conditions for Congruent of
Two Plane Figures are:
a) The all sides of corresponding sides are equal
b) The angles of Corresponding sides are equal
c) The shapes of both figure are same
Conditions of Congruent
The example:a) The Corresponding sides
(look the same sign) are: AC with DF, AB with DE, and BC with EF
b) Equal angle of Corresponding side: <R with <W, <S with <V, and <T with <U
c) Both of Plane Figures are Triangle
a)
b)
c)
A
C B
D
F E
R
TS
U V
W
Prove Congruent Figures
To Prove that 2 Triangles are Congruent:a) Side, Side, Side A
CB
UT
S6cm
5cm7cm 7cm 5cm
6cm
The all sides are in equal
Prove Congruent Figures
To Prove that 2 Triangles are Congruent:b) Two Sides, One AngleThe angle coincided by two
sides (AB and BC or UT and TS)
A
CB
UT
S6cm
7cm 7cm
6cm
45
45
Prove Congruent Figures
To Prove that 2 Triangles are Congruent:c) Two Angles, One Side 1. The angles known on the
side 2.The side face to one of two
angles
6cm
6cm UT
S
45 90
A
CB4590
UT
S
90
A
CB90
55
55
6cm
6cm
Example
Prove that ACE and BDE are congruent
C
A
BE
D
Answer:We prove it based on the condition, that we have learn before. We look for the same sign:• <CAE equal to <EBD• CE equal to ED • <CEA equal to <BED (It
hasn’t sign, but it’s vertical angles
The Conclusion: ACE and BDE are congruent