Mathematics - Congruence
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Transcript of Mathematics - Congruence
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Congruence
Congruent•The Conditions• Congruent Triangles• How to prove that• Exercise’s example Click what you want
to learn
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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
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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
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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
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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
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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
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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