Proving Triangles Congruent

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Proving Triangles Congruent

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Proving Triangles Congruent

CCGPS Analytic Geometry

Proving Triangles Congruent

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Presentation transcript:

Proving Triangles Congruent MathScience Innovation Center B. Davis

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

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

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

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

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

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