Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Golden ratio wikipedia , lookup
Multilateration wikipedia , lookup
Technical drawing wikipedia , lookup
Penrose tiling wikipedia , lookup
Dessin d'enfant wikipedia , lookup
Rational trigonometry wikipedia , lookup
Euler angles wikipedia , lookup
Apollonian network wikipedia , lookup
Trigonometric functions wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Euclidean geometry wikipedia , lookup
History of trigonometry wikipedia , lookup
7-3 Study Guide – Identifying Similar Triangles There are three ways to determine whether two triangles are similar. AA Similarity – two angles of one triangle are congruent to two angles of the other triangle SSS Similarity – measures of the corresponding sides of the triangles are proportional SAS Similarity – measure of two sides of a triangle are proportional to the measures of the corresponding sides of the other triangle and the included angles are congruent Determine whether the two triangles shown are similar. If so, state why (AA, SSS, or SAS) and complete the similarity statement. 1. ABC ______ by _______ 2. HJK L B ______ by _______ Q J 40 40 15 35 G P F H 35 A 16 12 20 20 R K 25 C 3. LMN ______ by _______ 4. WYZ ______ by _______ W N M U 5 10 12 9 L 8 5. JLF M S T 6 S Z ______ by _______ 4 K Y 8 6. ABC ______ by _______ L J C E F D E B D A C 7. AB CD , AB = 4, AE = 3x + 4, CD = 8, and ED = x + 12. Find AE and DE. A E B D C 8. GFE GEF , BE = 15, CF = 20, AE = 9, DF = 12 Determine which triangles in the figure are similar and why. B G A D E F Explain why each pair of triangles is similar and use the given information to find each missing measure. A 20 R 9. 10. S 4 T 9 2 9 12 x y V T 3 x U X 3 E 6 S