Congruent Triangles Day 1 Objective: Discover shortcuts for determining congruent triangles.
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...
4.2B and 4.3 Notes
Congruent Triangles and SSS
Definition of Congruent Triangles:If 3 sides and 3 angles of a triangle are equal, then the triangles are congruent
If ∆BDF ∆KCA, then
Corresponding sides are: Corresponding angles are: KCBD
CADF
KABF
B KD CF A
1. Given GEO FUN, name all corresponding angles and sides.
Sides AnglesFUGE
UNEO
FNGO
G FE UO N
2. In the diagram, EFG OPQ. Complete the statement.
7km110°
OP
F
Q
110°
7km
QPO
Side-Side-Side (SSS) Congruence Postulate
A B C D4cm 4cm
E F
CDAB
CFAE
DFBE
If 3 sides of one triangle are _____________ to three sides of a second triangle, then the two triangles are ________________.
congruent
congruent
Decide whether the congruence statement is true. Explain your reasoning.
Yes, SSS
IJH KJH
Decide whether the congruence statement is true. Explain your reasoning.
Yes, SSS
Decide whether the congruence statement is true. Explain your reasoning.
No, AC BD
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
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
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