proving triangles congruent mathscience innovation center b. davis

Proving Triangles Congruent

MathScience Innovation Center

B. Davis

Proving Triangles Congruent B. Davis MathScience Innovation Center

Corresponding Parts

Given ABC, name the congruent

AXC

Y

ZB

Is it XYZ, ZXY, or YZX ?


Corresponding Parts

Given ABC, name all 6 parts.

A C

B A

AC

BC

BCAB

Three angles!

And 3 sides !


Proving Triangles Congruent

Decide the reason why these triangles may be congruent.

Choices: SSS SAS ASA AAS None


Two Column Proofs:What are the headings for the 2 columns?

Statements Reasons


Two Column Proof:

Statements Reasons

1. CA 1. Given

2. B is the midpoint of AC 2. Given

3. AB = BC 3. Definition of Midpoint

4. DB = DB 4. Reflexive

6. CBDABD 6. SSS

5. Isosceles triangle has 2 congruent legs

5. AD = DC


Two Column Proof:

Statements Reasons

1. AYAX 1. Given

2. 2. Given

3. 3. Given

4. 4. SSSYBCXBC

ACAB

BYXC


Two Column Proof:

Statements Reasons

1. CDAD 1. Given

2. 2. Given

3. 3. Reflexive

4. 4. SSSCBDABD

BCAB

DBDB

5. Angle A = Angle C 5. Corresponding parts of congruent triangles are congruent.

proving triangles congruent mathscience innovation center b. davis

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