Objective We will analyze congruent triangles

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Presentation transcript:

Objective We will analyze congruent triangles

Congruent What does it mean? B D What would it mean for two triangles to be congruent? A C E F Sides Angles

What about these triangles? D Sides Angles B Vertical Angles C E

Vocab: Parts of a Triangle Included side: the side that is between the 2 given angles Included Angle: The angle that is between the 2 given sides. D Which side is included in <D and <G? O G Which angle is included in OG and DO?

Def of Congruent Triangles: Triangles are congruent if all 6 pairs of corresponding parts are congruent. DO you think this is the only way to show triangles are congruent? If not, what do you think is the least number of parts needed to prove triangles are congruent?

C.P.C.T.C. Corresponding Parts of Congruent Triangles are **This can only be used in a proof AFTER it is known/proven that the triangles are congruent!!

Let’s practice with some actual problems! 