�I��d�LdT��e����+C�}��'�uY�ӆ|�!D�Fg) �=-��'c �Ǖ���=Z%錭GII-,X�|X��V���$�{E�t9Rpvv"9��ߍT6N�cFLfڽc���q�!b�c��!dv������C']м�h�>���]��t�v���G�����}�Iy�9#>{�[*伫�=�3�O�7��R�����|̒s�0,0�+I[,d���z���dM\Y�ۍ$Z�۰ com.apple.print.ticket.stateFlag /XObject << /Im2 10 0 R /Im1 8 0 R /Fm1 12 0 R >> /Properties << /Pl1 15 0 R na-letter Students will exchange and grade papers. SOLUTION: In this figure, we have two pairs of congruent sides and the side opposite from the 41-degree angle is greater than the side opposite the (2x – 7) degree angle. View Hinge_Theorem_WS.pdf from MATH MISC at Hewitt-trussville High Sch. com.apple.print.PageFormat.PMScaling This suggests the Hinge Theorem. ������E��>�"�"�5����hDkRR�i�DkJM� )Mj�j�Z�֤�!��|QT��$�;#� Multiple Choice Use the diagram to deter- mine which of the following is a possible length for A 10 B 12 C 13 D 15 E 17 2. com.apple.print.ticket.creator endobj com.apple.print.ticket.modDate The Hinge Theorem: If two pairs of sides between two different triangles are congruent but the third pair of sides is not congruent, then the triangle with the _____ included angle will be opposite the _____side. 18. com.apple.print.PaperInfo.PMUnadjustedPageRect endobj com.apple.print.ticket.modDate 3 !1AQa"q�2���B#$R�b34r��C%�S���cs5���&D�TdE£t6�U�e���u��F'���������������Vfv��������7GWgw�������� 5 !1AQaq"2����B#�R��3$b�r��CScs4�%���&5��D�T�dEU6te����u��F���������������Vfv��������'7GWgw������� ? com.apple.print.ticket.itemArray com.apple.print.PageFormat.PMOrientation Begin the discussion by reviewing the triangle inequalities covered in Lesson 39. 2007-02-13T23:54:45Z The Hinge Theorem is a geometric theorem that focuses on this idea. 734 com.apple.print.PageFormat.PMVerticalScaling < B. com.apple.print.ticket.itemArray com.apple.print.ticket.client 21 17. com.apple.print.ticket.modDate 734 He has one com.apple.print.ticket.itemArray xe��j�0��~�yyW�Zro��@��z.ƅ���?���+�N�6�`wgf?uxEfe6D���f�2�����xC��� �PݍXK�;��w�����E�*��u_�_��A����pĆ�u�(�T'�O'���}B�t�-���OS#-�n_�/�v�������&�U���. . 11. Choose from 33 different sets of 5.14 Hinge Theorem flashcards on Quizlet. com.apple.printingmanager In class on Friday, 5/16/2003, I did not cover these very well. �C�?�S���Y�G�)ƒ>��Ȧ�� �tO�Jd� P$IIA)䡂����qO� 0 �A�)����'$�NBp�BrJD�'"� �)�� D� WX > ST Converse of the Hinge Theorem com.apple.print.ticket.client then . 72 com.apple.print.PageFormat.PMAdjustedPageRect 2.5.4 Hinge Theorem 1. %�%5�J��|Շ5 � )��'4�N�%5� US Letter Hinge Theorem and its converse. com.apple.print.ticket.stateFlag com.apple.printingmanager stream 5 0 obj %PDF-1.3 0 4 0 obj com.apple.printingmanager Topic: 5.6 Hinge Theorem Objective: I will be able to use inequalities to make comparisons in two triangles. They will prove the converse of the Hinge Theorem in Lesson 48. �GpCpIH���`��GpB�{O��������#�[L�#�Z��6[M(�II��&��%%j#BQ�� ��T�JQ com.apple.print.ticket.stateFlag 2007-02-13T23:54:45Z Teacher will have a Q & A session over quiz. Students will write a two-column proof for this theorem in Lesson 42. com.apple.print.ticket.modDate A�� II� com.apple.print.ticket.client 300 - 3X+2 7 . • Hinge Theorem: If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle. Multiple Choice Use the diagram and the Hinge Theorem to choose the inequality that correctly describes the restriction on the value of x. 8 0 obj Angle Bisector Theorem – says that “If a segment, ray, line or plane is an angle bisector, then it divides an angle so that each part of the angle is equal to ONE HALF of the whole angle.” com.apple.print.pm.PostScript 3 1100 ALGEBRA Use the Hinge Theorem or its converse and properties of ... Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard Created Date: 2003-07-01T17:49:36Z digital. 2007-02-13T23:54:45Z com.apple.print.ticket.itemArray << /Length 9 0 R /Type /XObject /Subtype /Image /Width 1024 /Height 768 /Interpolate 1 . How to use the Hinge Theorem to write an inequality How to use the Hinge Theorem to determine possible angle measurements. << /Length 13 0 R /Filter /FlateDecode /Type /XObject /Subtype /Form /FormType Name: Use your knowledge of the Hinge Theorem and its converse to complete each of … com.apple.print.ticket.modDate Hinge Theorem C. Converse Hinge Theorem 17 D. Third Angle Theorem E. Answer not shown A. less than 7 feet B. between 7 and 10 feet C. between 10 and 17 feet 21 D. greater than 17 feet E. answer not shown 18 22 A. x < 9 B. x > 9 C. x < 3 5. com.apple.print.PaperInfo.PMPaperName Problem 3 Point out that students have made a conjecture. endstream 0 Multiple Choice In the diagram, which of the following is not a possible measure for AB C Geometry 33 Standardized Test Practice Workbook 1. com.apple.print.ticket.creator Use the Hinge Theorem or its converse and properties of triangles to write and solve an inequality to describe a restriction on the value of x. com.apple.print.ticket.creator 2 0 obj com.apple.print.ticket.client endobj com.apple.print.ticket.client com.apple.print.pm.PostScript com.apple.print.ticket.modDate 6. com.apple.print.subTicket.paper_info_ticket How to use the hinge theorem to find possible values for x. 2007-02-13T23:54:45Z com.apple.print.ticket.itemArray com.apple.print.ticket.modDate stream com.apple.print.pm.PostScript Theorem 5-15 Converse of the Hinge Theorem If two sides of one triangle are congruent to two sides of another triangle and the third side of the first is longer than the third side of the second, then the included angle of the first is larger than the included angle of the second. com.apple.print.ticket.creator 00.20 -18 com.apple.print.ticket.modDate View hinge_theorem answers.pdf from ALGEBRA 2 MTH204A at iCademy Global. com.apple.print.PageFormat.PMVerticalScaling Hinge Theorem Given that two sides of a ∆ are ≌to two sides of another ∆… The angle between is greater in one triangle IFF the side opposite is greater in that triangle as well. �P�?������@�p����>�T�S�z����������*�Jz�Q��>��~����RIOU���>�������RIOU�7������x\�I)��F����m�����ʤ����o��%���>�T�S�og��%���>�T�S�z������F�����RIOU���>���p{��$������)�Photoshop 3.0 8BIM% 8BIM� � THEOREM 5.13: HINGE THEOREM If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is _____ than the third side of the second. ���p�`�!�a&���1#8R����'p�q�IBT,7LhOk���)x��v5��J;�7�W�j\�����:�y�1}%,�kRF�����H]Pk �#�h/BA�cw�GAz��R�=��T{�c�0� 0 1 5 6 Inequalities in Two Triangles and Indirect Proof In Exercises 1 and 2. list the sides or angles in order from least to greatest. 37m, 35m, 18m 3 ft, 3 ft,6ft Jeremy wants to build a triangular toy using sticks. com.apple.print.PageFormat.PMVerticalRes The Hinge Theorem is stated, but not proved. �� x �" �� com.apple.print.ticket.privateLock com.apple.print.PageFormat.PMAdjustedPaperRect com.apple.print.ticket.privateLock This PDF can be converted to an interactive version that students can complete from any device on TpT’s new tool. �� ' com.apple.printingmanager com.apple.print.pm.PostScript com.apple.print.PageFormat.PMOrientation com.apple.print.ticket.stateFlag 0 . Given sides of 7 cm and 4.2 cm with a non-included angle of 30 , there are two triangles that can be created. 72 0.0 5 Review.gwb - 22/22 - Tue Oct 01 2013 10:13:00. +���'�RS����G�#5��"�%j#P�QRRf�V��F������Sk�RpT�B)�$������1rJS��rP�RS'"8�8��nCr���JF�+>��G!�蟁IO����#��Ϣ>T�|QP�S%&iEiU�Q )�Ҧ com.apple.printingmanager &&66$5*80(176:ULWHDWZR -column proof. . com.apple.printingmanager com.apple.print.ticket.creator By the Hinge Theorem, XW < XY. BC = 9 inches: XZ= 11 inches: and com.apple.print.ticket.itemArray com.apple.print.ticket.stateFlag com.apple.printingmanager com.apple.print.ticket.creator com.apple.print.PageFormat.PMAdjustedPaperRect 0.0 com.apple.print.pm.PostScript ���� JFIF H H ��3Exif MM * � � � ( 1 �2 �i , 251 . endstream 1) ml-I, mL2 12 10 c 7 4) HJ,KP 850 D 2) my-I, mZ2 5) mZl, mL2 2 8) FH,GE 12 100 8 30 12 3) XB,ZB 240 260 6) mL3,mZ4 16 16 700 870 The Converse of the Hinge Theorem: If two pairs of sides between two different triangles are … 1 com.apple.print.ticket.creator 3<+2 . > 12 in., the angle of the opening of Shawn ¶s locker is greater than the angle of the opening of Neva ¶s. Multiple Choice Use the Hinge Theorem and the diagram below to choose the state- ment which must be true. You may have explored this idea when you studied congruent triangles. |��II7&��%%3.Q.LJ���D�����)r���h��*�'�"������� ���Y��Ȧ��G�~E0���$��%)8>J2�RS)JTe)IL�JRS)M)�4��RSIM)$�JI%))EA� D� endobj Students will be able to apply the Hinge Theorem or its converse to make comparisons in two triangles. Theorems 5-13 and 5-14 The Hinge Theorem and its Converse two sides of one triangle are congruent to two sides of another triangle If . 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