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Ch4.2_CongruentTriangles.notebook
1
October 24, 2011
Chapter 4.2Congruent 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
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)
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
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
Ch4.2_CongruentTriangles.notebook
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October 24, 2011
Are the following triangles congruent?If so, by what congruence postulate?
Ch4.2_CongruentTriangles.notebook
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October 24, 2011
Which Postulate?
Ch4.2_CongruentTriangles.notebook
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October 24, 2011
Statement Reason
Definition ofperpendicularlines
Prove: ΔVWX ≅ ΔZXY
Ch4.2_CongruentTriangles.notebook
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October 24, 2011
Given: RQ = RSRT bisects <QRS
Prove: ΔQRT = ΔSRT
Q
R
ST
Statement Reason
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