Geometry 17 May 2013 1) Place your Proof using CPCTC on your desk. Be prepared to share your work. 2) Which of the following lengths would determine a right triangle? a. 16, 30, 34 b. 50, 120, 130 c. 21, 28, 35 d. all of the above 3) Find volume and surface area of a hexagonal prism, if a = 5, s = 7 and H = 12. s Objective Students will review geometry topics and be able to develop proofs using CPCTC. Students will work timed problems, collaborate with a partner to find/ correct errors and work with their group. DUE TUESDAY: Proofs using Similarity DUE FRIDAY: Review Packet BOOKS TURN IN YOUR BOOK TO THE LIBRARY AS SOON AS YOU ARE FINISHED WITH IT! Do you want it to help study for the final? THEN TURN IT IN Right after your final! You won’t use it? Turn it in now! :0 Timed Slides Circle properties Area of sector Triangle equality-- sum of two sides > 3rd Slides copied from http://regentsprep.org/ retrieved May 15, 2013 3. 4 5 6 Now let’s check your answers! Turn and Talk– chat with a partner for 5 minutes - discuss any differences WHOLE CLASS– REVIEW ANSWERS Project Presentations AUDIENCE- please take notes as students present and work any problems that are given PRESENTERS- Clear, concise; 3 – 5 minutes AUDIENCE- Attentive, good listeners, taking notes Name AA Similarity Conjecture Shortcut If 2 angles of one triangle are congruent to 2 angles of another triangle, then the triangles are similar SSS Similarity Conjecture If the 3 sides of one triangle are proportional to the 3 sides of another triangle, then the two triangles are similar If 2 sides of one triangle are proportional to 2 sides of another triangle and the included angles are congruent, then the triangles are similar SAS Similarity Conjecture Review Similarity Shortcuts Explain Explain Read “Proofs Involving Similar Triangles” Read silently to yourself, highlighting or underlining the answers to the following: 1) What are the similarity shortcuts? 2) Working backwards, what key question must we ask? What is “the answer”? 3) What is the first reason given for each proof? 4) Where does the “prove…..” go in each proof? Now let’s dig in and practice!!! Debrief What do you need to review to be ready for the final exam? Area/ Surface Area/Volume Pythagorian theorem/ pythagoras in a box Similarity- triangles/ shadows/ heights Trigonometry- SOH CAH TOA Circle Properties Proof