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Transcript
5.4 – Pythagorean Theorem Pythagorean Theorem: If ∆𝐴𝐵𝐶 is a ___________________________, and you know the length of _________________________, then you can always find the length of the ____________________________. Legs: __________________ Hypotenuse: ____________ ____2 + ____2 = ____2 Examples: For the following right triangles, find the length of the missing side. 1. 𝑐 = _________ 2. 𝑎 = _________ 3. 𝑏 = _________ 4. 𝑐 = _________ 5.4 – TRIANGLE CONGRUENCE THEOREMS: SSS – If all three sides of one triangle are congruent to all three sides of a second triangle, then the two triangles are congruent. Triangle Congruence Statement: _________________________________ Congruent Parts: ______________________________________________ ______________________________________________ SAS – If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. Triangle Congruence Statement: _________________________________ Congruent Parts: ______________________________________________ ______________________________________________ ASA – If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. Triangle Congruence Statement: _________________________________ Congruent Parts: ______________________________________________ ______________________________________________ AAS – If two angles and the non-included side of one triangle are congruent to two angles and the non-included side of a second triangle, then the two triangles are congruent. Triangle Congruence Statement: _________________________________ Congruent Parts: ______________________________________________ ______________________________________________