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WARM UP 1. Two triangles that have the same shape and size are said to be _________________. 2. What angle is vertical to angle 2? 3. What is the measure of the complement of a 25° angle? 4. Explain why ββπ΄π΅πΆ β βπ·πΈπΉβ is a false statement. Write a true congruence statement for the triangles. LESSON 28: SAS TRIANGLE CONGRUENCE Geometry INCLUDED SIDES AND ANGLES β’ Included angle: the angle formed by two adjacent sides of a polygon β’ Included side: the common side of two consecutive angles of a polygon β’ Side-Angle-Side (SAS) Triangle Congruence Postulate: If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent by side-angleside congruence. EXAMPLE What is the included side of β π΄ and β π΅? What is the included angle of π΅πΆ and πΆπ·? A D B C EXAMPLE Determine whether the pair of triangles is congruent by the SAS Postulate. EXAMPLE Find the value of π₯ that makes the triangles congruent. (6π₯ β 27)° (4π₯ + 7)° EXAMPLE Use the SAS Postulate to prove βπππ β βπππ if ππ β ππ and β πππ β β πππ. W Z Y X EXAMPLE A land dispute over two triangular parcels of land can be ended by showing that the parcels have the same shape and size. In the figure, two sides of each parcel of land were measured and it was found that point C is the midpoint of both π΄π· and π΅πΈ. End the dispute by proving βπ΄π΅πΆ β βπ·πΈπΆ. A E C B D HOMEWORK QUESTIONS CORRECTING HOMEWORK β’ Get your homework out so I can stamp it. β’ If you do not have your homework complete, write your name on the board. β’ Use red pen/pencil to correct. β’ Trade with someone who has the homework done. β’ If you didnβt get it done, you need to be working on finishing it now. Remember no cheating and no work = no credit. β’ Make sure you write CB with your name or you will lose your citizenship points for today. HOMEWORK 1st and 2nd hour: Lesson 28: A-D, 5, 9, 13, 14, 15, 17, 19, 20, 21, 22, 23, 24, 25, 26, 29, 30 3rd hour: Lesson 28: A-D, 9, 13, 14, 15, 17, 20, 21, 23, 24, 26, 30