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5.4 AA, SSS, SAS Similarities.notebook December 03, 2013 Make sure you grabbed the pink piece of paper as you walked in. Fold it the way we folded our last foldable. Title the front with the section below. Leave room to write underneath the title. :) 5.4 AA, SSS, SAS Similarities Obj: Here you‛ll learn how to determine whether or not two triangles are similar using AA Similarity, SSS Similarity, or SAS Similarity by organizing the information into a foldable. 5.4 AA, SSS, SAS Similarities.notebook December 03, 2013 Recall: The Third Angle Theorem states if two angles are congruent to two angles in another triangle, the third angles are congruent too. Because a triangle has 180 , the third angle in any triangle is 180 minus the other two angle measures. 5.4 AA, SSS, SAS Similarities.notebook December 03, 2013 AA Similarity Postulate: If two angles in one triangle are congruent to two angles in another triangle, the two triangles are similar. The AA Similarity Postulate is a shortcut for showing that two triangles are similar. If you know that two angles in one triangle are congruent to two angles in another, which is now enough information to show that the two triangles are similar. Then, you can use the similarity to find the lengths of the sides. 5.4 AA, SSS, SAS Similarities.notebook December 03, 2013 If you do not know any angle measures, can you say two triangles are similar? SSS Similarity Theorem: If the corresponding sides of two triangles are proportional, then the two triangles are similar. 5.4 AA, SSS, SAS Similarities.notebook December 03, 2013 If we know that two sides are proportional AND the included angles are congruent, then are the two triangles are similar? SAS Similarity Theorem: If two sides in one triangle are proportional to two sides in another triangle and the included angle in the first triangle is congruent to the included angle in the second, then the two triangles are similar. 5.4 AA, SSS, SAS Similarities.notebook December 03, 2013 Remember This: Two triangles are similar if all their corresponding angles are congruent (exactly the same) and their corresponding sides are proportional (in the same ratio). 5.4 AA, SSS, SAS Similarities.notebook December 03, 2013 Determine if the following two triangles are similar. If so, write the similarity statement. 5.4 AA, SSS, SAS Similarities.notebook December 03, 2013 Are the following triangles similar? If so, write the similarity statement. 5.4 AA, SSS, SAS Similarities.notebook December 03, 2013 Determine if the following triangles are similar. If so, explain why and write the similarity statement. 5.4 AA, SSS, SAS Similarities.notebook Find x and y, if ABC ~ DEF. December 03, 2013 5.4 AA, SSS, SAS Similarities.notebook December 03, 2013 Determine if the following triangles are similar. If so, explain why and write the similarity statement. 5.4 AA, SSS, SAS Similarities.notebook December 03, 2013 Are the two triangles similar? How do you know? 5.4 AA, SSS, SAS Similarities.notebook December 03, 2013 Are there any similar triangles? How do you know? 5.4 AA, SSS, SAS Similarities.notebook December 03, 2013 5.4 AA, SSS, SAS Similarities.notebook December 03, 2013
