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Download Unit 3 Notes 2 – Similarity Shortcuts for Triangles ‐ AA – SSS – SAS
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Transcript
Unit 3 Notes 2 – Similarity Shortcuts for Triangles ‐ AA – SSS – SAS There are 3 similarity shortcuts – ways you can tell triangles are similar. AA Similarity Conjecture SSS Similarity Conjecture If two angles of one triangle are congruent to If the three sides of one triangle are proportional two angles of another triangle, then the to the three sides of another triangle. Then the triangles are similar. two triangles are similar. Here are some ways that you can find similar triangles: Angles are marked congruent Vertical Angles are congruent Alternate Interior Angles are congruent SAS Triangle Similarity Conjecture Two sides of one triangle are proportional to two sides of another triangle, and the included angles are congruent, then the triangles are similar. Corresponding Angles are congruent Shared Angle – Reflexive Property Richard Sudo Monday, December 7, 2015 3:54:39 PM CT 00:19:e3:4a:d2:21 Examples: 1. We know that these triangles are similar by ______________ Find x. 2. We know that these triangles are similar by ______________ Find x. 3 Richard Sudo Monday, December 7, 2015 3:54:39 PM CT 00:19:e3:4a:d2:21
