Congruence

Congruent•The Conditions• Congruent Triangles• How to prove that• Exercise’s example Click what you want

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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

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