"# % ; <=456% 14*>% # ")>=% 1( % =+( 3 % *( 56)<$51% =40$=% "50% $.% .4 5$=?% 45$=?% 1duction& 4& *$% ;$=% 2)(11+$% # % $)1 4_____________& *".% "56.$=/ % =4 =+")$0% 45% *( # #% ( D?% 5/ % ( )% %)( : +$% 1:Triangle& )4 "56.$=% *( 56)<$51 % ; 999/ % % B9B/ % BB9/ CC & Date:& & & & &9B9/ &&&&Per.:& ________& $=% 1 )4 "56.$=% *( 56)<$51 % ;0$=% 999/ % 9B9/ % B9B/ % BB9/ % D?% to& Proofs& tion& to& Triangle& Proofs& 5$=?% $% )( MUST KNOW FLASHCARDS $% ,1+$% )( (, 2 8%( 28% $=% 1 +$% 1 )4 " 56.$=% *( 56)<$51 % ; 999/ % 9B9/ % B9B/ % BB9/ % C D?% B D ion&to&Triangle&Proofs& B D % EC( 2 % ,! )( 8% % EC% <% 5( 1;4& *$% )(% % : $)1 4_____________& *".% "56.$=/ % =4 0$=% =+" )$0% 5% *( # # % (% 14& *$% 2 )(;#2Date:& :#Date:& $)1 4_____________& *".% "56.$=/ % =4 0$=% =+")$0% 445% # ((5/ 5/ ()% )% ____& & & & & &Per.:& ________& _& & && & & & & && Per.:& ________& B C&% C =( 5=% C D & % 4: $5% N % NO ! PQ % % % $)14*".% ! =% K+$( )$# % C A % ! =% *".% K+$( )$# % % ∠π΅πΆπ΄ ≅ ∠π·πΆπ΄ P E A E A E because vertical angles are congruent " .% ! =% K+$( )$# % O two congruent angles Q Name in the diagram ! LM % above AND the reason why. % )46+1% 1)4" 56.$% M % M% K 4: $% G)( , 8% =( 5=% M% K % Μ Μ Μ Μ Μ πΎπ ≅ Μ Μ Μ Μ Μ πΎπ K $2.$M4: $% G)( , 8% % because it is a shared side between the two triangles. The reflexive property tells us that the side can be congruent to itself. M M4: $% G)( , 8% S T L J M Name a pair of sides G that are congruent to each % - 4=$*1=% ! A' N% other in the J diagramMabove AND Lthe reason H% why. % M4: $% G)( , 8% J $*1 ! A' N% $" =(=% 5=% TT/=% % " !.18A' % 451N8% % ! =% #% 8% $*1 F R G H U G ∠πΊπΉπ» ≅ ∠πΌπΉπ» 5=% 8% % O$28% ( 2% &&&&&&&&&&&&&&&&&&&% F 5=% 8 % % H$2.$M4: $% G)( , 8% L H I because of the definition of bisect. H F 8 2% 8% ( 2% &&&&&&&&&&&&&&&&&&&% I 228.$M % ( 2% &&G)( &&&&,&& &&&&&&&&&% 4&:&$% 8% & I (Remember, bisect means to cut in half, so the line segment FH is cutting the angle GFI in two congruent parts) Μ Μ Μ Μ bisects ∠πΊπΉπΌ. State the conclusion you can πΉπ» 2ZX .$MF4% :X% $% G)( , #8%40, ( 451% 4=% 1+$% 2% WY % make( AND the reason why. & Z V =( 5=% & & $28% ( 2% )46+1% 1)4"56.$% because of the definition of midpoint. % $28% ( 2% #& 40, ( 451% % & Μ Μ Μ Μ Μ ≅ Μ Μ Μ Μ ππ ππ W X (Remember, a midpoint divides a segment into two congruent parts.) Y X is the midpoint of Μ Μ Μ Μ Μ ππ. State the conclusion you can make AND the reason why. & MUST KNOW FLASHCARDS SSS (Side Side Side) Postulate State the postulate by which you know the two triangles are congruent. SAS (Side Angle Side) Postulate State the postulate by which you know the two triangles are congruent. AAS (Angle Angle Side) Postulate State the postulate by which you know the two triangles are congruent. ASA (Angle Side Angle) Postulate State the postulate by which you know the two triangles are congruent. e & & P N =F%NO ! PQ % EXTRA CREDIT FLASHCARDS =% O Q ∠4 ≅ ∠2 % ( 2% )46+1% 1)4"56.$% because they are alternate interior angles (remember… the lines are PARALLEL!) $M4: $% G)( , 8% Μ Μ Μ Μ β₯ π΅πΆ Μ Μ Μ Μ . State the conclusion you can π΄π· make AND the reason why. The S T conclusion should be about ANGLES. % =% R $=% TT/% ".18% 4518% ! =% #% U Hypotenuse-Leg Theorem (HL) State the theorem by which you know these two triangles are congruent. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle then the triangles are congruent. X% 4=% 1+$% # 40, ( 451% ( 2% ! ZX F% WY % Z V Step 1: ∠π and ∠π are right angles because of the definition of perpendicular (remember the ⊥ symbol means perpendicular) $"=( 5=% 8% 8% % O$28% ( 2% )46+1% 1)4"56.$% 8% % % W 8% % O$28% ( 2% # 40, ( 451% X Y Μ Μ Μ Μ Μ Μ Μ Μ Μ Μ and Μ Μ Μ Μ Μ ππ ⊥ ππ ππ ⊥ Μ Μ Μ Μ ππ 8% % % State the conclusion you can make AND & the reason why. & Step 2: ∠π ≅ ∠π because all right angles are congruent