1. Proving Triangles Congruent
MathScience Innovation Center
B. Davis

2. Proving Triangles Congruent B. Davis MathScience Innovation Center
Corresponding Parts
Given ABC, name the congruent Z B X C A Y
Is it XYZ, ZXY, or YZX ?
Proving Triangles Congruent B. Davis MathScience Innovation Center

3. Proving Triangles Congruent B. Davis MathScience Innovation Center
Corresponding Parts
Given ABC, name all 6 parts. B
Three angles! C A
And 3 sides !
Proving Triangles Congruent B. Davis MathScience Innovation Center

4. Proving Triangles Congruent
Decide the reason why these triangles may be congruent.
Choices:
SSS
SAS
ASA
AAS
None
Proving Triangles Congruent B. Davis MathScience Innovation Center

5. Proving Triangles Congruent
Decide the reason why these triangles may be congruent.
Choices:
SSS
SAS
ASA
AAS
None
Proving Triangles Congruent B. Davis MathScience Innovation Center

6. Proving Triangles Congruent
Decide the reason why these triangles may be congruent.
Choices:
SSS
SAS
ASA
AAS
None
Proving Triangles Congruent B. Davis MathScience Innovation Center

7. Proving Triangles Congruent
Decide the reason why these triangles may be congruent.
Choices:
SSS
SAS
ASA
AAS
None
Proving Triangles Congruent B. Davis MathScience Innovation Center

8. Proving Triangles Congruent
Decide the reason why these triangles may be congruent.
Choices:
SSS
SAS
ASA
AAS
None
Proving Triangles Congruent B. Davis MathScience Innovation Center

9. Two Column Proofs: What are the headings for the 2 columns?
Statements
Reasons
Proving Triangles Congruent B. Davis MathScience Innovation Center

10. Proving Triangles Congruent B. Davis MathScience Innovation Center
Two Column Proof:
Statements
Reasons
1. Given 1.
2. Given
2. B is the midpoint of AC
3. AB = BC
3. Definition of Midpoint
4. DB = DB
4. Reflexive
5. Isosceles triangle has 2 congruent legs
5. AD = DC
6. SSS 6.
Proving Triangles Congruent B. Davis MathScience Innovation Center

11. Proving Triangles Congruent B. Davis MathScience Innovation Center
Two Column Proof:
Statements
Reasons
1. Given 1.
2. Given 2. 3.
3. Given 4.
4. SSS
Proving Triangles Congruent B. Davis MathScience Innovation Center

12. Proving Triangles Congruent B. Davis MathScience Innovation Center
Two Column Proof:
Statements
Reasons
1. Given 1.
2. Given 2. 3.
3. Reflexive 4.
4. SSS
5. Corresponding parts of congruent triangles are congruent.
5. Angle A = Angle C
Proving Triangles Congruent B. Davis MathScience Innovation Center