{"id":3225,"date":"2022-01-05T19:32:00","date_gmt":"2022-01-05T19:32:00","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3225"},"modified":"2022-03-03T15:10:36","modified_gmt":"2022-03-03T15:10:36","slug":"parallel-lines-and-transversals","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/parallel-lines-and-transversals\/","title":{"rendered":"Parallel lines and Transversals"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n

Parallel lines and Transversals<\/h1>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Calculate the missing angle, provided a pair of parallel lines, two transversals, and one or two angle measures.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]Use the properties of the following angles to find the value of the missing angle.<\/a><\/p>\n

Complementary angles are two angles that together form a right angle.\u200b The sum of two complementary angles is 90 degrees. \u200bTo find the missing complementary angle, subtract the given angle from 90 degrees.<\/p>\n

Supplementary angles are two angles that together form a straight angle.\u200b The sum of two supplementary angles is 180 degrees. \u200bTo find the missing supplementary angle, subtract the given angle from 180 degrees.<\/p>\n

Alternate interior angles are on opposite sides of the transversal and between the parallel lines.<\/p>\n

Alternate exterior angles are on opposite sides of the transversal and on the outside of the parallel lines.<\/p>\n

Corresponding angles are in the same position relative to the transversal and each of the parallel lines.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]In the figure, lines b and c are parallel, and line a is perpendicular to line b. Find the measure of angle 4.<\/span><\/strong>
\n\"\"<\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]Since a and b are perpendicular, angle 1 measures 90 degrees. Since b and c are parallel, angles 1 and 2 are corresponding angles. So, angle 2 measures 90 degrees as well. Angle 3 and 4 together add up to 90 degrees and angle 3 is a vertical angle to the 40 degree angle, so angle 4 equals 50 degrees<\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Parallel lines and Transversals[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n

Practice Problem 1<\/h5>\n

Which pair of angles shows alternate interior angles?<\/span><\/strong>
\n\"<\/a><\/p>\n

 <\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/lines”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n

Practice Problem 2<\/h5>\n

In the figure, lines c and d are parallel. Find the measure of angle 3. <\/span><\/strong>
\n\"<\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/lines”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n

Practice Problem 3<\/h5>\n

Handrails on a staircase must be constructed parallel to each other to ensure the support of the rail. Knowing this, what is the value of x? <\/span><\/strong>
\n\"<\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/lines”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]Parallel lines<\/strong> are two or more lines that never intersect.<\/p>\n

Perpendicular lines<\/strong> are two lines that intersect at a right angle.<\/p>\n

Transversal line<\/strong> is a line that passes through two lines in the same plane at two distinct points.<\/p>\n

Alternate interior angles<\/strong> are on opposite sides of the transversal and between the parallel lines.<\/p>\n

Alternate exterior angles<\/strong> are on opposite sides of the transversal and on the outside of the parallel lines.<\/p>\n

Corresponding angles<\/strong> are in the same position relative to the transversal and each of the parallel lines.<\/p>\n

Vertical angles<\/strong> are a pair of opposite angles formed by intersecting lines. Vertical angles are always congruent.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]Pre-requisite Skills<\/strong><\/span>
\nComplementary and Supplementary Angles<\/span><\/a>
\nFinding Angle Measures<\/span><\/a>
\nAngle Relationships<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635245091562{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}”]Related Skills<\/strong><\/span>
\nCongruent Lines<\/span><\/a>
\nClassify Quadrilaterals<\/span><\/a>
\nQuadrilateral Facts<\/span><\/a>
\nGeometric Proof<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Geometry and Spatial sense” color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fgeometry-and-spatial-sense|title:Geometry%20and%20Spatial%20sense||”][vc_btn title=”Graphs” color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fgraphs|title:Graphs||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"

[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Parallel lines and Transversals [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Calculate the missing angle, provided a pair of parallel lines, two transversals, and one or two angle measures.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]Use the properties of the following angles to find […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"\nParallel lines and Transversals | Oryx Learning<\/title>\n<meta name=\"description\" content=\"Parallel lines refer to lines that are always at the same distance from each other and never cross. 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