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How many ways are there to prove figures/triangles are congruent? Explain one of them SAS, SSS, ASA, AAS, HL What is transformation? Reflection, rotation, dilation, translation When lines are parallel what do you know? Angles – which ones are corresponding and which are congruent Similarity & Congruence (book reference pg. 453) Goal: to prove that triangles are congruent and to determine if 2 figures are similar using properties of transformation http://youtu.be/GgDFg_ilMtg Objective: prove using properties of similarity transformations that if 2 angles of one triangle are congruent to 2 angles of another triangle, the triangles are similar (AA) Pg. 450 Angle angle similarity postulate Side side side similarity Side angle side similarity Pg. 453 #3 (got it) Indirect measurement – pg. 454 Pg. 454 #4 (got it) Lesson check pg. 455 1-6 When you identify angles and sides; don’t forget the angle must be between the sides OR the side between the angles What needs to be true to prove with HL theorem? Can you recall the different types of angles and which ones are congruent and which ones equal 180 degrees? Linear and same side interior are 180 Alt. interior, alt. exterior, corresponding, and vertical are congruent What types of conditions help you to decide which method of triangle congruency to use when writing a proof? Write a letter to a friend that was absent multiple days that compares ASA, AAS, SSS, SAS, HL and argue what method is best to use. Include what type of conditions help you to decide which method to use. Be sure to support your position with evidence What is a line? Do lines play a part in circles? Is there a relationship between sector(piece) of a pie and diameter? We see the circle does Hula hoop Dart board Pizza Cookies Pie Can you name others? What is the diameter of your cookie? What is the circumference? What is the relationship of pi and math? Explain in your own words Goal: determine if 2 figures are similar using transformation properties; determine if 2 triangles are similar given angles and side lengths; given angles & sides, determine if similar Extended proportions – Scale factor – Similar figures – Prove Pg. 444 #10, 14, 16 Pg. 445 # 26, 28, 31 Pg. 277 #10 and #11 Show work Pg. 450 Angle angle similarity postulate Skill based task: ◦ Is segment SU parallel to segment RV? Explain, why or why not? (see diagram on board) ◦ Solve for x in the diagram on board 7-3 due 3/18 (assignment) 7-4 challenge due 3/20 7-5 challenge due 3/20 What is the AA similarity theorem and why does it sufficiently determine whether two triangles are similar or not? Honors: why do we need to prove triangle theorems?