ch4.2 congruent triangles

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Ch4.2_CongruentTriangles.notebook 1 October 24, 2011 Chapter 4.2 Congruent Triangles

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Page 1: Ch4.2 Congruent Triangles

Ch4.2_CongruentTriangles.notebook

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October 24, 2011

Chapter 4.2Congruent Triangles

Page 2: Ch4.2 Congruent Triangles

Ch4.2_CongruentTriangles.notebook

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October 24, 2011

Congruent means same measure (or size and shape)

Congruent triangles havecongruent angles andcongruent sides

X

ZY A C

B

Page 3: Ch4.2 Congruent Triangles

Ch4.2_CongruentTriangles.notebook

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October 24, 2011

Types of Triangle CongruencesThe SSS Postulate

2 triangles are congruent if:3 sides of one triangle are equal to the 3 sides of the other triangle

(side­side­side)

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Ch4.2_CongruentTriangles.notebook

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October 24, 2011

Types of Triangle CongruencesThe SAS Postulate

2 triangles are congruent if:2 sides and their included angle of one triangle are equal to 2 sides and their included angle of the other triangle

(side­angle­side)

Included angle

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Ch4.2_CongruentTriangles.notebook

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October 24, 2011

Types of Triangle CongruencesThe ASA Postulate

2 triangles are congruent if:2 angles and their included side of one triangle are equal to 2 angles and their included side of the other triangle

(angle­side­angle)

Included side

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October 24, 2011

Are the following triangles congruent?If so, by what congruence postulate?

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October 24, 2011

Which Postulate?

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October 24, 2011

Statement Reason

Definition ofperpendicularlines

Prove: ΔVWX ≅ ΔZXY

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October 24, 2011

Given: RQ = RSRT bisects <QRS

Prove:  ΔQRT = ΔSRT

Q

R

ST

Statement Reason

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October 24, 2011

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