Chapter 4 Congruent Triangles. 4.3 Proving Triangles Congruent: SSS and SAS.
4.2B and 4.3 Notes Congruent Triangles and SSS. Definition of Congruent Triangles: If 3 sides and 3...
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Transcript of 4.2B and 4.3 Notes Congruent Triangles and SSS. Definition of Congruent Triangles: If 3 sides and 3...
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4.2B and 4.3 Notes
Congruent Triangles and SSS
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Definition of Congruent Triangles:If 3 sides and 3 angles of a triangle are equal, then the triangles are congruent
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If ∆BDF ∆KCA, then
Corresponding sides are: Corresponding angles are: KCBD
CADF
KABF
B KD CF A
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1. Given GEO FUN, name all corresponding angles and sides.
Sides AnglesFUGE
UNEO
FNGO
G FE UO N
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2. In the diagram, EFG OPQ. Complete the statement.
7km110°
OP
F
Q
110°
7km
QPO
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Side-Side-Side (SSS) Congruence Postulate
A B C D4cm 4cm
E F
CDAB
CFAE
DFBE
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If 3 sides of one triangle are _____________ to three sides of a second triangle, then the two triangles are ________________.
congruent
congruent
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Decide whether the congruence statement is true. Explain your reasoning.
Yes, SSS
IJH KJH
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Decide whether the congruence statement is true. Explain your reasoning.
Yes, SSS
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Decide whether the congruence statement is true. Explain your reasoning.
No, AC BD
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4. Given:
Prove: ∆ABC ∆ADC
ADAB DCBC
ADAB Given
DCBC Given
ACAC Reflexive Prop.
∆ABC ∆ADC SSS
1. 1.
2. 2.3. 3.
4. 4.
Statements Reasons
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AB CB Given
ACD ofmidpoint theis Given
DCAD Def. of Midpt
∆ABD ∆CBD SSS
DBDB Reflexive Prop.
A D C
B
1. 1.
2. 2.3. 3.
4. 4.
5. 5.
Statements Reasons
, is the midpoint of AB CB D AC5. Given: Prove: ∆ABD ∆CBD
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bisects , AC DB AD AB6. Given: Prove: ∆ACD ∆ACB
A
BCD
Given
Def. of Segment BisectorDC CBGiven
∆ACD ∆ACB SSS
AC AC Reflexive Prop.
1. 1.
2. 2.
3. 3.
4. 4.
5. 5.
Statements Reasons
bisects AC DB
AD AB