Report

Do Now • In your group, choose someone to fill each role • Spokesperson • Materials gatherer • Writer • Scorekeeper • Reminders: • Tutoring today • Turn in benchmark review Friday • Turn in Unit 2 Test corrections Friday • Ice Cream Party Competition • Auction on Friday CONGRUENCY SHORTCUTS CPCTC CLASSIFYING TRIANGLES THEOREMS BASICS OF PROOFS Team 1 Team 2 Team 3 Team 4 0 0 0 0 © 2006 by Mr. Mayers If ΔABC≅ΔDEF, then which angle is congruent to C? F Back Are the triangles congruent? Which shortcut tells you? Yes, SAS Back Classify this triangle by its sides Scalene Back What is the Triangle Sum Theorem? Use it to find the missing angle measure. The sum of the angles in any triangle is 180o, m<C=110o Back What is the reflexive property? A geometric object is congruent to itself. (AB≅AB or <C≅<C) Back Which triangle congruency is represented here? SSS Back What does CPCTC stand for? Corresponding Parts of Congruent Triangles are Congruent Back Given that C is the midpoint of BE and that <A≅<D, are the triangles congruent? Which shortcut tells you? Yes, AAS Back Classify this triangle by its angles Obtuse Back Do the lengths 9, 6, and 2 form a triangle? No, 6+2 is not greater than 9. Back What are vertical angles? Vertical Angles are opposite angles from where 2 lines cross. Back Which triangle congruency shortcut is represented here? AAS Back If ΔBCD≅ΔFGH, then which side is congruent to GH? CD Back Are the triangles congruent? Which shortcut tells you? Yes, AAS Back Classify this triangle by angles 29o, 61o, 90o Right Back State the Base Angle Theorem and use it to find the measure of <Z. If two sides of a triangle are congruent, then the angles opposite those sides are also congruent. 54o. Back Are these two triangles congruent? Why/ why not? Back Name the two triangles in this diagram that share a reflexive property at angle F. Back Name a non-marked piece of information that is congruent. BW≅MN, OW≅AN, or <W≅<N Back Are the triangles congruent? Which shortcut tells you? No, AAA Back C is congruent to B and D is congruent to E. What kind of triangles are these? Isosceles (and acute) Back What can serve as a counterexample to the conjecture below: “If Miguel wants to prove two triangles are congruent, he must use ASA.” AAS, SSS, SAS, HL Back Name the steps to writing a good two column proof Back Fill in the following chart to complete the two-column proof. Reflexive vertical angle AAS CPCTC Back In order to prove that CB≅ZX, what do we have to prove first? ΔCBA≅ΔZXY Back Are the triangles congruent? Which shortcut tells you? No, SSA Back What is the measure of any interior angle of an equilateral triangle? What do we call this type of triangle? o 60 , Equiangular Back According to the triangle inequality theorem, if 6, 8, and x form a triangle, what are all the possible values for x? 2<x<14 Back Write a proof. Back Construct a Two Column Proof Back