4-4, 4-5 Proving Congruence SSS-SAS

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4-4, 4-5 Proving Congruence of Triangles

Transcript of 4-4, 4-5 Proving Congruence SSS-SAS

Page 1: 4-4, 4-5 Proving Congruence SSS-SAS

4-4, 4-5 Proving Congruence of Triangles

Page 2: 4-4, 4-5 Proving Congruence SSS-SAS

Postulate 4.1 : if three sides of a triangle are congruent to the three sides of another triangle, then the triangles are congruent.

O M G !!!No Way!

Called the “Side-Side-Side”, or SSS postulate

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Postulate 4.2 : If two sides and the angle between them are congruent on two triangles, then the triangles are congruent.

A.K.A. the “Side-Angle-Side”or SAS postulate.

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If two triangles have all the same angles, it does not mean they are congruent !!

Angles are Congruent,but the trianglesare not congruent

LOOK!They only SIMILAR, suckah!

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Are these triangles congruent? How do you know?

SSS,Fool !

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Are These Congruent?

Yeeeah Boyyy!!!That’s that A.S.S.Pos-chlit, boyy!!

Don’t listen to fools! There is no A.S.S. postulate!!

The correct answeris: “You can’t tell if they are congruent!”

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Are these congruent?

SAS !!

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Postulate 4.3 if two angles and the side between them are congruent on separate triangles, then both triangles are congruent.

ASA

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Postulate 4.4: If two angles and a side NOT between them are congruent on separate triangles, then both triangles are congruent.

AAS

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• That’s it.