Geometry Unit 4-Congruent Triangles – Flashcards
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3rd angle Theorem:
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If 2 angles are congruent to 2 angles of another triangle, then the 3rd angles are congruent
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Congruent triangles:
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Two triangles are congruent IFF their corresponding sides and corresponding angles are congruent.
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CPCTC:
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Corresponding Parts of Congruent Triangles are Congruent
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Isosceles Triangle Theorem
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if two SIDES of a triangle are congruent, then the angles opposite those sides are congruent.
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Converse of Isosceles Triangle Theorem
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if two ANGLES of a triangle are congruent, then the sides opposite those angles are congruent
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Ways to Prove Triangle are Congruent:
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SSS
SAS
ASA
AAS
HL
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SSS Postulate:
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If THREE SIDE of ONE triangle are congruent to THREE sides of ANOTHER triangle, then the triangles are CONGRUENT
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SAS Postulate:
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if TWO SIDES and the INCLUDED ANGLEof one triangle are congruent to TWO SIDES and the INCLUDED ANGLE of ANOTHER triangle, then the triangles are congruent
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ASA Postulate:
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if TWO ANGLES and the INCLUDED SIDE of ONE triangle are CONGRUENT to two angles and the included side of the second, the triangles are CONGRUENT
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AAS Postulate:
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If TWO ANGLES and a NON-INCLUDED SIDE of one triangle are congruent to two angles and the corresponding NON-INCLUDED SIDE of a second triangle, then the two triangles are CONGRUENT
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HL Postulate:
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if the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg of a second right triangle, then the two triangles are congruent
