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Honors Geometry Similar Triangles WS Honors Geometry Similar Triangles WS Honors Geometry Similar Triangles WS Honors Geometry Similar Triangles WS Honors Geometry Similar Triangles WS Name________________________________Date_________________________Blk_________ Determine whether the following pairs of triangles are similar. If the triangles are similar then state the theorem or postulate. If not, then explain why not. 1. 2. 3. Yes, AA similarity 4. No…don’t have Yes, SAS similarity 6 9 8 12 5. the included angle. 6. Yes, AA similarity Yes, AA Similarity (Use the parallel lines) (Use the vertical Angles) Yes, SSS Similarity 2 3 4 4 6 8 Identify the similar triangles in each figure. Explain why they are similar and use the given information to find x and y. 7. 8. ABC ~ ADE AA Similarity x=5 10 y= 3 3 9. ABC ~ ADE AA Similarity (shared angle) x=5 DCE ~ ACB AA Similarity (shared angle) x = 16 y=3 y = 20 Honors Geometry 10. Similar Triangles WS 11. CMN ~ CAB AA Similarity 56 AB = 3 28 BC = 3 16 BN = 3 QSM ~ PSR ~ NMR AA Similarity 100 RN = 3 40 RP = 3 SP = 20 Identify each statement as true or false. If false, state why. 12. If the measures of the sides of one triangle are 5 times the measures of the sides of a second triangle, the two triangles are similar. TRUE, SSS Similarity, the sides are all proportional with a scale factor of 5. 13. If the measures of the sides of one triangle are 1/2 the measures of the sides of a second triangle, the two triangles are similar. TRUE, SSS Similarity, the sides are all proportional with a scale factor of 1/2. 14. If two triangles share one angle in common, then the triangles are similar. FALSE, one angle is not enough to know if two triangles are similar. Need two congruent angles. 15. If the measures of the sides of a triangle are each 3in greater than the measures of the sides of a second triangle, then the triangles are similar. FALSE, increasing the sides by an equal number will change the proportions that were there in the triangle. Ex. 2 6 5 9 now add three to the sides…. 3 9 6 12