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Slide 2 What s Your Type? The Same Old Thing X Marks the Spot Prove It!Short Cuts Hows Your Memory? 400 500 100 200 300 100 200 300 400 500 100 200 300 400 500 100 200 400 300 500 100 200 300 400 500 100 200 300 400 500 600 700 600 700 600 700 600 700 600 700 600 700 BONUS Slide 3 Whats your type? Slide 4 30 120 30 18 10 Slide 5 Sum of two nonadjacent interior angles Slide 6 Classify all three triangles by side length. A B D C 35 65 Slide 7 Triangle with two 40 angles Slide 8 Triangle with a 30 degree angle and a 60 degree angle. Slide 9 Triangle that is always acute Slide 10 Classify all three triangles by angle measure. 35 60 5o A B C D Slide 11 The Same Old Thing Slide 12 Name the congruent figures and ALL of the corresponding congruent parts P S Q R Slide 13 A BC D Slide 14 Use the definition of congruent triangles to prove RPS RPQ. P Q R S Slide 15 State the third congruence that must be given to prove triangles congruent. Given: FE ON F O Prove: DEF MNO Method: AAS Slide 16 State the third congruence that must be given to prove triangles congruent. Given: A X B Y Prove: ABC XYZ Method: AAS Slide 17 State the third congruence that must be given to prove triangles congruent. Given: DE MN M D Prove: DEF MNO Method: SAS Slide 18 State the third congruence that must be given to prove triangles congruent. Given: A X AB XY Prove: ABC XYZ Method: ASA Slide 19 X marks the spot Slide 20 Find the value of x and classify the triangle MP H G J N 122 24 (2x - 6) JGH PMN M G N H Slide 21 Find the value of x and classify the triangle 3x (2x + 11)(8x + 5) Slide 22 Find the value of the third angle measure x if one of the acute angles in a right triangle is 40 degrees Slide 23 Find the value of x (7x + 1) 38 (10x + 9) Slide 24 Find the value of x and classify the triangle 6x 10 x Slide 25 Find the value of x 34 xx 4 4 Slide 26 Find the value of x and y xx yy 50 Slide 27 Prove it! Slide 28 Given: MA TA, AHM=90 Prove: AHM AHT A T H M Slide 29 Given: A B, ADC BDC Prove: AC BC A D B C Slide 30 Given: T is the midpoint of PR and QS Prove: STR QTP P S R Q T Slide 31 Given: JK LM, KJS MLS, JR LQ Prove: LQR JRQ S KQR M J L Slide 32 Given: A B, CA AB, D is the midpoint of AB, AC BC Prove: ACD BCD (using no shortcuts) A D B C Slide 33 Prove the Exterior Angles Theorem: m 1 + m 2 = m 4 1 2 3 4 Slide 34 Using the Isosceles Triangle Theorem: Find m D (6y+1) (21y+13) D OG Slide 35 Shortcuts Slide 36 Name the theorem and list the statement or tell why it cant be determined A B C D Slide 37 A E C B D Slide 38 Name the congruence method or none Slide 39 Name the theorem and list the statement or tell why it cant be determined F R OG Slide 40 Name the congruence method or none V Z W U XY VY WX XV YW VXY WYX Slide 41 Name the congruence method or none V Z W U XY VX WY VY BISECTS XZ WX BISECTS ZY VXY WYX Slide 42 M N O P Q Name the congruence method or none MOQ PNQ Slide 43 Hows Your Memory? Slide 44 If two angles form a linear pair then they are: Slide 45 If two lines are perpendicular then the angles created at their intersection are:______ Slide 46 The acute angles of a right triangle are: Slide 47 ___ is the set of all points inside a triangle and ____ is the set of all points outside a triangle. Slide 48 Angles formed by two sides of a triangle with a common vertex Slide 49 An angle formed by one side of a polygon and the extension of an adjacent side Slide 50 Interior angles of a polygon that are not adjacent to the exterior angle but their sum is equal to the measure of the exterior angle. Slide 51 BET IT ALL Given m A= 43 degrees and the measure of CBD is twice that of CBA, what is the measure of C?