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Proving Triangles Similar Same idea as polygons

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Presentation on theme: "Proving Triangles Similar Same idea as polygons"— Presentation transcript:

1 Proving Triangles Similar Same idea as polygons
Similar Triangles Proving Triangles Similar Same idea as polygons

2 Similar Triangles Corresponding angles need to be congruent Corresponding sides need to be proportional All should have same scale factor You can write 2 column proofs like before, but we have to state sides proportional instead of congruent.

3 Proving Triangles Similar
AA – Angle Angle – if 2 corresponding angles are congruent then the third has to be congruent Prove this SSS – Side Side Side – all corresponding sides are proportional, same scale factor, same decimal SAS – Side Angle Side – if two sides of one triangle are proportional to two corresponding sides of another triangle and the included angle is congruent, then the triangles are similar

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5 Are the triangles similar
Are the triangles similar. If yes then state the conjecture as to why and state the similarity statement, if no state why not.

6 Given the Alt of a Right Triangle
Notice the 3 similar triangles that are formed Can you set up proportions that relate sides of large triangle to other two What about a proportion that relates small and medium

7 Example

8 Homework Pg even and 13


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