proving triangles congruent mathscience innovation center b. davis

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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 ?

Proving Triangles Congruent B. Davis MathScience Innovation Center

Corresponding Parts

Given ABC, name all 6 parts.

A C

B A

AC

BC

BCAB

Three angles!

And 3 sides !

Proving Triangles Congruent B. Davis MathScience Innovation Center

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

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

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

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

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

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

Statements Reasons

Proving Triangles Congruent B. Davis MathScience Innovation Center

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

Proving Triangles Congruent B. Davis MathScience Innovation Center

Two Column Proof:

Statements Reasons

1. AYAX 1. Given

2. 2. Given

3. 3. Given

4. 4. SSSYBCXBC

ACAB

BYXC

Proving Triangles Congruent B. Davis MathScience Innovation Center

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.

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