Transcript Proving Triangles Congruent

Proving Triangles Congruent
MathScience Innovation Center
B. Davis
Corresponding Parts

Given  ABC, name the congruent 
Z
B
A
X
C
Y
Is it  XYZ,  ZXY, or
Proving Triangles Congruent B. Davis
 YZX ?
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Corresponding Parts

Given  ABC, name all 6 parts.
B
A
C
A
B
C
Three angles!
And 3 sides !
AB
Proving Triangles Congruent B. Davis
AC
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BC
Proving Triangles Congruent

Decide the reason
why these triangles
may be congruent.






Proving Triangles Congruent B. Davis
Choices:
SSS
SAS
ASA
AAS
None
MathScience Innovation Center
Proving Triangles Congruent

Decide the reason
why these triangles
may be congruent.






Proving Triangles Congruent B. Davis
Choices:
SSS
SAS
ASA
AAS
None
MathScience Innovation Center
Proving Triangles Congruent

Decide the reason
why these triangles
may be congruent.






Proving Triangles Congruent B. Davis
Choices:
SSS
SAS
ASA
AAS
None
MathScience Innovation Center
Proving Triangles Congruent

Decide the reason
why these triangles
may be congruent.






Proving Triangles Congruent B. Davis
Choices:
SSS
SAS
ASA
AAS
None
MathScience Innovation Center
Proving Triangles Congruent

Decide the reason
why these triangles
may be congruent.






Proving Triangles Congruent B. Davis
Choices:
SSS
SAS
ASA
AAS
None
MathScience Innovation Center
Two Column Proofs:
What are the headings for the 2 columns?

Statements
Proving Triangles Congruent B. Davis

Reasons
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Two Column Proof:

Statements
1.
A  C
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Reasons
1. Given
2. B is the midpoint of AC 2. Given
3. AB = BC
3. Definition of Midpoint
4. DB = DB
4. Reflexive
5. AD = DC
5. Isosceles triangle has 2
congruent legs
6.
ABD  CBD
Proving Triangles Congruent B. Davis
6. SSS
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Two Column Proof:

Statements
1.
AX  AY
2.
AB  AC

Reasons
1. Given
2. Given
3.
XC  BY
3. Given
4.
XBC  YBC
4. SSS
Proving Triangles Congruent B. Davis
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Two Column Proof:

Statements
1.
AD  CD
2.
AB  BC

Reasons
1. Given
2. Given
3.
DB  DB
3. Reflexive
4.
ABD  CBD
4. SSS
5. Angle A = Angle C
Proving Triangles Congruent B. Davis
5. Corresponding parts
of congruent triangles
are congruent.
MathScience Innovation Center