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
Rational trigonometry wikipedia , lookup
Technical drawing wikipedia , lookup
Penrose tiling wikipedia , lookup
Multilateration wikipedia , lookup
List of works designed with the golden ratio wikipedia , lookup
Euler angles wikipedia , lookup
Trigonometric functions wikipedia , lookup
Golden ratio wikipedia , lookup
Euclidean geometry wikipedia , lookup
History of trigonometry wikipedia , lookup
Similarity Lesson 26 Question of the Day: Dilate triangle ABC about the origin by a scale factor of 2 to create triangle DEF. Graph the image and label the vertices DEF. Class Discussion: 1.) Are the two triangles similar? Why? 2.) What is the ratio of the corresponding sides? 3.) Proportional sides (corresponding sides): 4.) State the corresponding (congruent) angles. 5.) Write a similarity statement: ___________________________. Similar Figures: Figures that have the _________ _________ but are a ____________ ________. One is a _____________ of the other Angles are _________________ Sides are ___________________ Similarity ratio: The ___________between the ______________ __________of similar figures 52 Examples: 1.) State if the two triangles are similar. If so, write a similarity statement: P 4 1.4 K 2.) Find the similarity ratio. Then, state the corresponding angles and proportional sides. S M 5 2 2.8 3.5 L U To find the similarity ratio: To show two triangles are similar: To write a similarity statement: 3.) Find the scale factor of SAT to SEA if: SAT ~ SEA, EA = 6, ST = 24, and AT = 18 53 Independent practice Lesson 26 For #1-2, determine the scale factor for the triangles. Write a similarity statement and state the proportional sides: 1.) 2.) A B 9 3 5 15 E 6 2 C D For # 3-4, state if the triangles are similar. 3.) 4.) ΞMNO has sides of lengths 4, 5, and 6. ΞRST has sides of lengths 8, 9, and 10. 5.) State the congruent angles and proportional sides. βππΊπ ~ βπππ 6.) Dilate the figure below by a scale factor of -2 centered at the point (2, -3) 54