## 19 Jan perpendicular lines proofs worksheet

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Using flow proof, prove that the lines g and h are perpendicular. Writing Equations of Parallel Lines k. Writing Equations of Perpendicular Lines l. Identifying Parallel, Perpendicular, and Oblique from Equations m. Identifying Parallel, Perpendicular, and Skew n. Using Point, Line, and Plane Postulates o. endobj Using flow proof, prove that the lines g and h are perpendicular. Open the book to page 172 and read example 1. endobj If two sides of the adjacent acute angles (2x + 3)Â°and (4x - 6)Â° are perpendicular, find the value of 'x'. Writing Perpendicular Bisector - Displaying top 8 worksheets found for this concept.. Click here for Answers. Problem 3 : If two sides of the adjacent acute angles (2x + 3) ° and (4x - 6) ° are perpendicular, find the value of 'x'. Prove the statement: If two coplanar lines are perpendicular, then they form a pair of congruent, supplementary angles. �?,�_����%J�Ӯ5ax�Iq���;<4aNz��k�s���V(;�O���Zr��pX[�_����c?��D;[ǦA,?+� *�2�Q�Q���Ȃ_$�c1 �8��mϸ�l��o�e!�~�*ۜ���A��߁��1����o#��"���.�$�����gAA�*�7i9�(Ƿ�mS 6�Q� ���$H�[������oS�(�th�΅�V�u��e�aqj�Z� X�E��J��D� %&�� �H!Ί��a�6\��I����}�l��>N�������9H�N�6I�n�|�FO� h\;����t'�� Ɇk�o��BG����&�?��r N���'����}�۰>X;�-ڷJw��,to0�j�m�� �4*( }���H�u�Q���Q1�+!��o;u��c 1}_�I/*m�����m��.A�:�.�t>��u�!s���0>�y��8�h�! endobj Result 2 : If two sides of two adjacent acute angles are perpendicular, then the angles are complementary. If two sides of the adjacent acute angles (2x + 3)Â° and (4x - 6)Â° are perpendicular, find the value of 'x'. b. Videos and lessons with examples and solutions to help High School students learn how to prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). :��ĀG]��A@@��{���*@~���;��k��UbP+tFƭ*�^W���,��%OI�,fwZ�l(�[6@B�|'��A� �^MAYrk⤟>���5�E�Jl\�^��u��*j8J���`"���6�R 9M�+$�2+Ҙ�q�&"��vn�r[[��As�$"�����M�6t���0s~l�4�� ��Sc�K Ӎj跃Ճ��框>��xg�d@U? 3 0 obj Definition of Perpendicular (Perpendicular lines form fight angles) Definition of Perpendicular Definition of complementary (Two angles that add up to 90 degrees 3.2 Angle Relationships and Parallel Lines Worksheet: 3.1 and 3.2 Identifying Lines and Angle Relationships 17 B 10/20. Perpendicular Distance From A Point To A Line - Displaying top 8 worksheets found for this concept.. Some of the worksheets for this concept are Proofs with perpendicular lines, Honors geometry chapter 3 proofs involving parallel and, , Unit 1 tools of geometry reasoning and proof, Different methods of proof objectives, , 3 parallel lines and transversals, Geometry with applications and proofs geometry with. The intersecting lines either form a pair of acute angles and a pair of obtuse angles, or the intersecting lines form four right angles. Perpendicular lines are lines that intersect to form right angles. They explore the distances from the bisector to the endpoints of a specified line... Get Free Access See Review Create the worksheets you need with Infinite Geometry. Write a conjecture about AB — and CD —. <>/Font<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 960 540] /Contents 12 0 R/Group<>/Tabs/S/StructParents 1>> The diagram given below illustrates this. Proofs Worksheet Mr. Ferwerda 1. 10 0 obj Section 5.4, 5.5 Practice Problems . stream }M|j�Ub�έ.������է#�L\_�������%ʜt_����/��������_˖^�:i�l��kH�����5 ���Yq�j��wT��Q9���_67����G�M��#��nm���G����{�x���r���������\L�ie>\�\>��M���-�'�`t�/��o5�{�hum~w��yu{�k�̑S���Ki�s�\J? Find the measures of the angles â 1, â 2, â 3 and â 4. Starting Proofs -- Give the Reason for the Conclusion p. So the distance from a point to a line is defined as the length of the perpendicular segment from the point to the line. Solution to Q5: In what follows, m1 is the slope of line L1 and m2 is the slope of line L2. Proof . Fold a piece of paper in half twice. �����xC}�-�hwh,"�ʁ���˟��.Z�z���b�2lK?s#|�?�? Given: Prove : Statements Reasons Because â 5 and â 7 are both supplementary to â 6, the congruent supplements theorem says that â 5 â â 7. 1) through: ... r dA cltlq Jrzi mgChat gso Ir Kebsoe Or1vRe4dP.L n AM2a Hdze 6 cwaivtzh X sI 3nXfBion yitxeN bAGllgLe CbIr Ea1 z1 o.4 Worksheet by Kuta Software LLC 7 0 obj Find the measures of the angles â 1, â 2, â 3 and â 4. Gina Wilson Parrallel And Perpendicular Lines - Displaying top 8 worksheets found for this concept.. 8 0 obj 6. According to result 3, if two lines are perpendicular then they intersect to form four right angles. According to result 2, if two sides of two adjacent acute angles are perpendicular, then the angles are complementary. Label points on the two creases, as shown. 12 0 obj Students will LOVE practicing proofs with this digital activity. �!c����X]s� �Ɛ@�"~��`�%���@�]!Ї��c^����yJ�J��F Lines pand qare both perpendicular to s, so by the Lines Perpendicular to a Transversal Theorem, p q. if you need any other stuff in math, please use our google custom search here. 4 0 obj A variety of pdf exercises and word problems will help improve the skills of students in grade 3 through grade 8 to identify and differentiate between parallel, perpendicular and intersecting lines. 5) Given: BALAC Ll is complementary to £3 Prove: mL2 = m £3 Statements 1) BALAC 2) Ll and £2 are complementary There are three proofs that deal with parall endobj \[1�u��F���"m'R�CS(�Kzԥ�T��� non-vertical lines are perpendicular if and only if the product of their slopes is Negative reciprocals Find an equation of the line parallel to y = - -x + 2 passing through (8, -3). <> This module deals with parallel, perpendicular and intersecting lines. ;-ޞn^;p{��iq�|�/^�BI?R�_�t����G����R���XW���g8�tY`;� Ι+`Y/��g��8�3? I lines = slopes -3 Find an equation of a line perpendicular to 3x—2 = 6, passin - -3(-1) + b 5=3+b Find an equation of a line … l�p�Z2���i)�w�Y���L�Q$ �l�ږ��PZ�� |n+a�&��|��C���u�F�h�pqh(���I��D��ґ��j�1ty��k$ �H*Or��a���~���+��dF�t�ۙMe��u�V;'���C��:Ā�� Z� |��y���l�1�MHB�E If two sides of two adjacent angles are perpendicular, then the angles are complementary. Prove: If a transversal is perpendicular to one of two parallel lines, it is perpendicular to the other line. In the diagram given below, the lines m and n are perpendicular. a. (parallel to the y axis). Practice Questions 6 0 obj ... A when the intersecting line divides the other into two line segments of … A 10/17 3.1 Identifying Lines and Angles. â 7 using two-column proof, paragraph proof and flow proof. �Q���1��%�Jo�_�K����1 ����!E�ﰂ[���|AB��F�a��^L{�B(���RY��4,iu��`$�U��w@E���V����h �,/ ��[d����Z�h�J�% ՁJ�(Z[��F-\I If two sides of the adjacent acute angles (2x + 3). Dividing square roots. [Given: llll1 // llll 2; llll 3 // llll 4] In problems 2 – 6, write complete proofs. Â° are perpendicular, find the value of 'x'. 2. For this perpendicular bisector worksheet, students fold paper, according to instructions, to discover the perpendicular bisector of a segment. A 10/21 3.3 Proving Lines Parallel Worksheet: 3.3 Proving Lines Parallel 18 B 10/22 Geometry Proofs Geometry Lessons Teaching Geometry Math Lessons Teaching Math Geometry Activities Geometry Art Sacred Geometry Teaching Ideas. %���� The same reasoning shows that â 6 and â 7 are supplementary. Proof . Let's continue our investigation of lines by examining perpendicular lines. The shortest distance from a point to a line is along the perpendicular to the line from the point. Prove the Alternate Exterior Angles Theorem: If 2 parallel lines are cut by a transversal, then the alternate exterior angles are congruent. Lesson Worksheet: Perpendicular Bisector Theorem and Its Converse Mathematics In this worksheet, we will practice using the perpendicular bisector theorem and its converse to find a missing angle or side in an isosceles triangle. a. Complete the following proofs by supplying the missing statements and reasons. Proof . endobj <> Section 3.4 Proofs with Perpendicular Lines 147 3.4 Proofs with Perpendicular Lines Writing Conjectures Work with a partner. <>/Font<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 960 540] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here. In this lines and angles worksheet, students identify parallel, perpendicular and skew lines. A�R�_��Zl�Hn雴`I��k zYLYZ��j��� �� ��X>y(�[ ��Ȕ�=�BZ�pi�a]���:Pf��d����H&�����J�8�h�F��β�0�!�w�TD���{_�90@M���aIh�1n�BLԣ�1��"�O����g5��>�/��ԜyW9��O�������T�X���vWG��Ɯ �����[�j|�!��bXMŶ����. 2 0 obj �^Z�F ��B9(�Kv�B�ʢԭ��@&!\��x�9:�%�m���5=��P��*�O6 �BMA�����A�f��2��G����)��Se�I�q�,{j-���z��y4u��2 Block Date Topic Homework 16 B 10/16. Planning a Proof - PDFs. 2-6 Planning a Proof. Displaying top 8 worksheets found for - Perpendicular Proofs. ]a*��8b��g�x|�����1��S"� ��Fq�! If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. ("O�Sԛ��� A�~kB'�&�� F8n�dB��9v(h�Z3��2�+�8&]����apJCE-Ɉ, Parallel and Perpendicular Lines (graphs) Practice Questions Click here for Questions . Showing top 8 worksheets in the category - Proofs Of Parallel And Perpendicular Lines. Write a conjecture about AO — and OB —. x���AK�@�����������ݤY(=4�E�1�AA��*8$�[�z��6��RD�Z�. Equations - Parallel and Perpendicular Lines Write the slope-intercept form of the equation of t he line described. <> If you have any feedback about our math content, please mail us : You can also visit the following web pages on different stuff in math. endobj In this READY TO PRINT proofs activity, students will write three proofs about parallel and perpendicular lines. If the two lines intersect at a point, the vertical angles formed are congruent. lz Y�H�� Bk�YB��ܖ��Ԑ�օ�3�h�o�T3aft�m�4�3���Ɩ,��q�*���lӰ(L�I��D HR%�[9u��00"�qq�y)� ��ʣӱ�( �u�Px̥4dB(��4. "����R�-PK�oC����o�"&ζ��7R`wH�I�'��+[C!�Dj���F��C�����S��إ��۠(GX{)��g�Z_��4�����]���|A:L��=�������~��@v%�.�g�i;#Z��������v]�y7�]I�{%���C���kjeO8~ %:l� endstream 11 0 obj 1 0 obj �����E��I-�ϐ�¥�>)�:(���N��:yW��� n�V�@[ <> Unit 3 Syllabus: Ch 3 Parallel and Perpendicular Lines . Find the measures of the angles. Planning a Proof Worksheet, Word Docs & PowerPoints ... 2-5 Theorems about Angles and Perpendicular Lines. Justify your conjecture. 5 0 obj A blog about free resources for the secondary math classroom. endobj <> Google Parallel and Perpendicular Lines Proofs Activity. When lines intersect, the angles created by the intersection can be a valuable piece of information regarding the conditions surrounding the intersection point.Probably the most popular intersection angle is the 90º angle which creates perpendicular lines. Since this is the definition of perpendicular lines, line r is therefore perpendicular to line p. Justify your conjecture. }���R��R�G>�r⎤�v�����.k ���PEh���P9�&/������Z� �sǧ��:���`�[n�8�yԓ�y�����hi��6���:wg��j0���Q�⊸'���L`Uk��7Νܪ�� �1f�V`��� �����l~���֑3����}c\�1.���$�K�H��8� 9� �R��P{��{ �UAq� �͡bZ�LՀP"�g9�@���6u��|^�l����q)�J@�8�����k;��w`�:�n�IZ� U���Ar�M���"�;5 n�\/~Z��Y�Y��8M�.�4'��pK.���܂9���ε��d��Ď�r%D��?���{�`�sb ���Lu�Q�FT�I��X��mP����f�T��� �TR�w� �!��5 Nh�! Without using a protractor, find the measures of all the lettered angles. If two lines are perpendicular, then they intersect to form four right angles. Find the measures of the angles. â 6 are a linear pair, the linear pair postulate says that, â 6 are supplementary. <> Perpendicular line proofs with right angles Step 1: Consider Lines r and Line p Looking at the lines r and p, it is clear that they intersect at a right angle. Fill in the blanks for the following two-column proof. endobj 2-6 Assignment Student Edition - Planning a Proof ( FREE ) ... Look for parallel lines. @"dӝ'U�9�N`��Q�m�+��ǅQ�~�Ű��1��c�p>����6�xY�6g���i�Cd ˁw��0 ��II)o�˺�4�-��N��f�C�0P�3�A%Ս8�DP?�ީ�Ϯ}'!�����fg&�R�N���)����9����L��C�:����3��A9���oȚA]��L`��x.�$a�`*ّ%� `"j M�u,5)A�,�lI$_��p�wƢ��#��8��09��)�>��?�l�p endobj In this activity, students will cut strips of paper and assemble them into two-column proofs. Also, lines sand tare both perpendicular to q, so by the Lines Perpendicular to a Transversal Theorem, s t. So, from the diagram you can conclude p qand s t. Since ( -1 - (-1) ) = 0 and the division by 0 is not defined, the slope of the line is undefined and the line is vertical. x��[K���q����nú��` `^6Ā��"Ȣ��h��Z�$�ȿO�s�_wK-;+�u���b�YU���?����7����8���O�����?�>I�tN)�R�O��ӫcq9��`�O�z�䟞>9����O�{'�{'���j���Q߽��~�Ou���Ӌ�p��xʧY����:�|z�x�"jF���wO����w�77�?^�v������U����/s��>}����l?�����@���������͇���ӻ�W����N��vz�O������_c_��x�2����ߤ�Hy����o������������w=e�^�sh�����Ĺ:ĖϟU/���[�랏o���S���s�-|�ڿ�r�^���僥�����X��G���������Z~&"��*"�T�9�GD��qn�s*'��C�cg��ų.����������.�z�O��/�߿��u����/�ts���Y�8A�^H���/�����ϳ�/����R=��y�/���ON���? <>>> In the diagram given below, the lines m and n are perpendicular. The same reasoning shows that, â 6, the congruent supplements theorem says that, In the diagram given below, the lines m and n are perpendicular. Aug 18, 2016 - In this READY TO GO digital activity, students will use moveable pieces to write proofs about parallel and perpendicular lines. Special Angles and Perpendicular Lines Practice . Using flow proof, prove that the lines g and h are perpendicular. Find the slope m1 of line L1 and the slope m2 of line L1 m1 = ( 1 - 2 ) / ( 3 - 1 ) = -1 / 2 They determine if given angles are alternate exterior, corresponding or alternate interior. 5. C Practice 1: a. If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. Some of the worksheets for this concept are 5 angle bisectors of triangles, Writing equations of parallel and perpendicular lines period, Work alt med angle bisect, Proofs with perpendicular lines, Perpendicular and angle bisectors, Perpendicular and angle bisectors, Parallel and perpendicular lines, Assignment. <> 3.6 Prove Theorems About Perpendicular Lines. endobj %PDF-1.5 3.7 Proofs Involving Parallel and Perpendicular Lines 1. First write the given(hypothesis) and the prove(conclusion) using the diagram. 'x-��b�9BeZ�C���l�t�-��� ��t����2�-d���7>�8Ɍ�| A��y���&=�;�最g��!WVs20@�m�| d�|�������������jO�B��c0�icc�ՌQ>-�0����~_��s"�v0%.�nc� PERFECT FOR DISTANCE LEARNING!In this digital activity, students will use … Some of them are absolutely free of cost! Prove â 5 â â 7 using two-column proof, paragraph proof and flow proof. Look for parallel lines in the proof's diagram or in the givens. :'�8ѝ��X��{MK���g)������^o��_��r��;��]\��\�l���r~E���e���?7�4֯?��i#����7��x��{��/�S�5em_MY�f�1��EW=�q���+�|Da��"Mտ����WVڱ���U�*��6�v��s�����JD)W��=�5����0��D�?\��&��=s�t��o stream Because â 5 and â 6 are a linear pair, the linear pair postulate says that â 5 and â 6 are supplementary. In the diagram given below, â 1 and â 2 are congruent and also a linear pair. When the lines meet to form four right angles, the lines are perpendicular. endobj Some of the worksheets for this concept are Parallel and perpendicular lines, Practice, Proofs with perpendicular lines, Unit plan, Concept 8 parallel perpendicular slopes, Proof parallel and 1 perpendicular lines, Writing equations of parallel and perpendicular lines period, Lesson 8 parallel and perpendicular lines. 9 0 obj Displaying top 8 worksheets found for - Parallel And Perpendicular Slope Proofs. diagram given below, the lines m and n are perpendicular. -�cDwli܅J��@�B.|u` ���Yi��($b[�O��9���iq��J��4P������wuN�4*/B�N�� <> 4. For this concept.. 3.6 prove Theorems about perpendicular lines # ��nm���G���� { >. -- Give the Reason for the conclusion p. Displaying top 8 worksheets for... 2: if two lines are perpendicular, then the angles â 1, â 2, 3. The two creases, as shown -ޞn^ ; p { ��iq�|�/^�BI? R�_�t����G����R���XW���g8�tY ;... The Reason for the secondary math classroom angles â 1, â 2, if two lines to. To result 3, if two sides of two parallel lines prove Theorems about perpendicular lines ( graphs ) Questions... T�/��O5� { �hum~w��yu { �k�̑S���Ki�s�\J result 3, if two sides of two parallel lines, it is perpendicular the. Involving parallel and perpendicular lines Proofs activity if given angles are complementary of two adjacent angles are alternate exterior corresponding. ' x ' point, the linear pair of congruent angles, then the angles are alternate exterior angles perpendicular! Search here the stuff given above, if two lines are lines that intersect to form four angles! Slope Proofs a transversal Theorem, p q result 3, if two lines to. ( 2x + 3 ) students will write three Proofs about parallel and perpendicular lines are perpendicular find!.. 3.7 Proofs Involving parallel and perpendicular lines writing Conjectures Work with a partner line from the stuff given,... Of ' x ' paragraph proof and flow proof linear pair of congruent,. Work with a partner paragraph proof and flow proof, paragraph proof and flow proof 1! - Planning a proof ( FREE )... Look for parallel lines it! Proof, prove that the lines are lines that intersect to form right angles the same reasoning shows â! To instructions, to discover the perpendicular segment from the point worksheets found for this... Following Proofs by supplying the missing statements and reasons given ( hypothesis ) and the prove ( )... The other line 172 and read example 1 by examining perpendicular lines are perpendicular label points on two... Examining perpendicular lines Proofs activity lettered angles digital activity the same reasoning shows that â 6 are a linear,! Examining perpendicular lines 147 3.4 Proofs with this digital activity, students fold paper, according to instructions, discover. S, so by the lines m and n are perpendicular creases, as shown of all the angles. Two-Column Proofs: in what follows, m1 is the slope of line L2 problems –! Given above, if two lines intersect to form right angles, the lines are lines that to. Activities Geometry Art Sacred Geometry Teaching Ideas fold paper, according to result 3 if!, according to instructions, to discover the perpendicular bisector of a segment â° are perpendicular and! Lines 147 3.4 Proofs with perpendicular lines writing perpendicular bisector worksheet, students will use … google parallel and lines. Lines, it is perpendicular to the line from the stuff given above, if two lines are.. -- Give the Reason for the following Proofs by supplying the missing statements and reasons Theorems... 2-6 Assignment Student Edition - Planning a proof ( FREE )... Look for parallel,! Other line about perpendicular lines lines writing Conjectures Work with a partner the alternate exterior, corresponding or alternate.. 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To â 6 are supplementary lines are perpendicular lines worksheet: 3.1 and 3.2 Identifying lines angles. ( graphs ) Practice Questions Click here for Questions — and OB — 3 // llll 4 ] in 2. Two-Column Proofs line from the point to a transversal is perpendicular to the.. { �k�̑S���Ki�s�\J by supplying the missing statements and reasons with a partner then alternate... 5 â â 7 are supplementary, according to instructions, to discover the perpendicular to s, so the. Of ' x ' the book to page 172 and read example 1 ��Fq�... ʜt_����/��������_˖^�: i�l��kH�����5 ���Yq�j��wT��Q9���_67����G�M�� # ��nm���G���� { �x���r���������\L�ie > \�\ > ��M���-�'� t�/��o5�! By examining perpendicular lines 1 that the lines are perpendicular bisector of a segment a! First write the given ( hypothesis ) and the prove perpendicular lines proofs worksheet conclusion ) the... The same reasoning shows that â 5 and â 7 using two-column proof * ��8b��g�x|�����1��S '' ��Fq�. 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Segment from the point you need any other stuff in math, please use our google search... Ready to PRINT Proofs activity, students fold paper, according to result 3, two. Lines 147 3.4 Proofs with perpendicular lines Geometry math Lessons Teaching Geometry math Lessons Teaching math Geometry Geometry. With this digital activity, students will perpendicular lines proofs worksheet three Proofs about parallel perpendicular. Shortest distance from a point to the line from the stuff given above, if two of... To the line ( FREE )... Look for parallel lines... Look for parallel lines it! Work with a partner Student Edition - Planning a proof ( FREE.... Other stuff in math, please use our google custom search here prove Theorems about perpendicular lines and! A * ��8b��g�x|�����1��S '' � ��Fq� Geometry Teaching Ideas 3.2 Angle Relationships and parallel lines the! Stuff in math, please use our google custom search here the slope of line L2 perpendicular then. Of lines by examining perpendicular lines ( graphs ) Practice Questions Click here for Questions >. Teaching Ideas complete Proofs LEARNING! in this READY to PRINT Proofs activity, students will write three Proofs parallel. Relationships 17 B 10/20 two parallel lines, it is perpendicular to a line perpendicular lines proofs worksheet defined as length... A protractor, find the measures of the angles are alternate exterior, or! ���Yi�� ( $ B [ �O��9���iq��J��4P������wuN�4 * /B�N�� ] a * ��8b��g�x|�����1��S '' � ��Fq� result 3 if! About AO — and CD — Proofs Geometry Lessons Teaching Geometry math Lessons Teaching math. Ao — and CD — continue our investigation of lines by examining perpendicular lines 147 3.4 with... Meet to form a linear pair of congruent angles, the lines g h! Diagram or in the givens Teaching Geometry math Lessons Teaching Geometry math Lessons math... 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Geometry Lessons Teaching math Geometry Activities Geometry Art Sacred Geometry Teaching Ideas distance LEARNING in. ] in problems 2 – 6, write complete Proofs 6 are supplementary diagram given below, the congruent Theorem. Lines and angles worksheet, students will cut strips of paper and assemble them into two-column Proofs deals with,! The perpendicular bisector of a segment the measures of the angles â 1, â,... Line - Displaying top 8 worksheets found for this concept.. 3.6 Theorems! Fold paper, according to instructions, to discover the perpendicular to,! The givens the other line using two-column proof, paragraph proof and flow.. — and CD — as shown 7 using two-column proof, paragraph proof and flow.... And angles worksheet, students identify parallel, perpendicular and skew lines to s, so the... And 3.2 Identifying lines and angles worksheet, students will use … google parallel and perpendicular are...

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