{"id":28907,"date":"2022-01-29T16:12:46","date_gmt":"2022-01-29T10:42:46","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=28907"},"modified":"2022-01-29T16:12:46","modified_gmt":"2022-01-29T10:42:46","slug":"practical-geometry-class-7-extra-questions-maths-chapter-10","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/important-question\/maths\/class-7\/practical-geometry-class-7-extra-questions-maths-chapter-10\/","title":{"rendered":"Practical Geometry Class 7 Extra Questions Maths Chapter 10"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/important-question\/maths\/class-7\/practical-geometry-class-7-extra-questions-maths-chapter-10\/#Practical_Geometry_Class_7_Extra_Questions_Maths_Chapter_10\" title=\"Practical Geometry Class 7 Extra Questions Maths Chapter 10\">Practical Geometry Class 7 Extra Questions Maths Chapter 10<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/important-question\/maths\/class-7\/practical-geometry-class-7-extra-questions-maths-chapter-10\/#Practical_Geometry_Class_7_Extra_Questions_Very_Short_Answer_Type\" title=\"Practical Geometry Class 7 Extra Questions Very Short Answer Type\">Practical Geometry Class 7 Extra Questions Very Short Answer Type<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/important-question\/maths\/class-7\/practical-geometry-class-7-extra-questions-maths-chapter-10\/#Practical_Geometry_Class_7_Extra_Questions_Short_Answer_Type\" title=\"Practical Geometry Class 7 Extra Questions Short Answer Type\">Practical Geometry Class 7 Extra Questions Short Answer Type<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/important-question\/maths\/class-7\/practical-geometry-class-7-extra-questions-maths-chapter-10\/#Practical_Geometry_Class_7_Extra_Questions_Higher_Order_Thinking_Skills_HOTS_Type\" title=\"Practical Geometry Class 7 Extra Questions Higher Order Thinking Skills [HOTS] Type\">Practical Geometry Class 7 Extra Questions Higher Order Thinking Skills [HOTS] Type<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Practical_Geometry_Class_7_Extra_Questions_Maths_Chapter_10\"><\/span>Practical Geometry Class 7 Extra Questions Maths Chapter 10<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Extra Questions for Class 7 Maths Chapter 10 Practical Geometry<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Practical_Geometry_Class_7_Extra_Questions_Very_Short_Answer_Type\"><\/span>Practical Geometry Class 7 Extra Questions Very Short Answer Type<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Question 1.<br \/>\nState whether the triangle is possible to construct if<br \/>\n(a) In \u0394ABC, m\u2220A = 80\u00b0, m\u2220B = 60\u00b0, AB = 5.5 cm<br \/>\n(b) In \u0394PQR, PQ = 5 cm, QR = 3 cm, PR = 8.8 cm<br \/>\nSolution:<br \/>\n(a) m\u2220A = 80\u00b0, m\u2220B = 60\u00b0<br \/>\nm\u2220A + m\u2220B = 80\u00b0 + 60\u00b0 = 140\u00b0 &lt; 180\u00b0<br \/>\nSo, \u0394ABC can be possible to construct.<br \/>\n(b) PQ = 5 cm, QR = 3 cm, PR = 8.8 cm<br \/>\nPQ + QR = 5 cm + 3 cm = 8 cm &lt; 8.8 cm<br \/>\nor PQ + QR &lt; PR<br \/>\nSo, the \u0394PQR can not be constructed.<\/p>\n<p>Question 2.<br \/>\nDraw an equilateral triangle whose each side is 4.5 cm.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48053405282_a4a7be0928_o.png\" alt=\"Practical Geometry Class 7 Extra Questions Maths Chapter 10 Q2\" width=\"184\" height=\"180\" \/><br \/>\nSolution:<br \/>\nSteps of construction:<br \/>\n(i) Draw AB = 4.5 cm.<br \/>\n(ii) Draw two arcs with centres A and B and same radius of 4.5 cm to meet each other at C.<br \/>\n(iii) Join CA and CB.<br \/>\n(iv) \u0394CAB is the required triangle.<\/p>\n<p>Question 3.<br \/>\nDraw a \u0394PQR, in which QR = 3.5 cm, m\u2220Q = 40\u00b0, m\u2220R = 60\u00b0.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48053360778_ba5e721543_o.png\" alt=\"Practical Geometry Class 7 Extra Questions Maths Chapter 10 Q3\" width=\"200\" height=\"165\" \/><br \/>\nSolution:<br \/>\nSteps of construction:<br \/>\n(i) Draw QR = 3.5 cm.<br \/>\n(ii) Draw \u2220Q = 40\u00b0, \u2220R = 60\u00b0 which meet each other at P.<br \/>\n(iii) \u0394PQR is the required triangle.<\/p>\n<p>Question 4.<br \/>\nThere are four options, out of which one is correct. Choose the correct one:<br \/>\n(i) A triangle can be constructed with the given measurement.<br \/>\n(a) 1.5 cm, 3.5 cm, 4.5 cm<br \/>\n(b) 6.5 cm, 7.5 cm, 15 cm<br \/>\n(c) 3.2 cm, 2.3 cm, 5.5 cm<br \/>\n(d) 2 cm, 3 cm, 6 cm<br \/>\n(ii) (a) m\u2220P = 40\u00b0, m\u2220Q = 60\u00b0, AQ = 4 cm<br \/>\n(b) m\u2220B = 90\u00b0, m\u2220C = 120\u00b0 , AC = 6.5 cm<br \/>\n(c) m\u2220L = 150\u00b0, m\u2220N = 70\u00b0, MN = 3.5 cm<br \/>\n(d) m\u2220P = 105\u00b0, m\u2220Q = 80\u00b0, PQ = 3 cm<br \/>\nSolution:<br \/>\n(i) Option (a) is possible to construct.<br \/>\n1.5 cm + 3.5 cm &gt; 4.5 cm<br \/>\n(ii) Option (a) is correct.<br \/>\nm\u2220P + m\u2220Q = 40\u00b0 + 60\u00b0 = 100\u00b0 &lt; 180\u00b0<\/p>\n<p>Question 5.<br \/>\nWhat will be the other angles of a right-angled isosceles triangle?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48053316886_145411a8d3_o.png\" alt=\"Practical Geometry Class 7 Extra Questions Maths Chapter 10 Q5\" width=\"140\" height=\"150\" \/><br \/>\nSolution:<br \/>\nIn right angled isosceles triangle ABC, \u2220B = 90\u00b0<br \/>\n\u2220A + \u2220C = 180\u00b0 \u2013 90\u00b0 = 90\u00b0<br \/>\nBut \u2220A = \u2220B<br \/>\n\u2220A = \u2220C = \\(\\frac { 90 }{ 2 }\\) = 45\u00b0<br \/>\nHence the required angles are \u2220A = \u2220C = 45\u00b0<\/p>\n<p>Question 6.<br \/>\nWhat is the measure of an exterior angle of an equilateral triangle?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48053360853_c4db50146c_o.png\" alt=\"Practical Geometry Class 7 Extra Questions Maths Chapter 10 Q6\" width=\"205\" height=\"138\" \/><br \/>\nSolution:<br \/>\nWe know that the measure of each interior angle = 60\u00b0<br \/>\nExterior angle = 180\u00b0 \u2013 60\u00b0 = 120\u00b0<\/p>\n<p>Question 7.<br \/>\nIn \u0394ABC, \u2220A = \u2220B = 50\u00b0. Name the pair of sides which are equal.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48053405452_2c1545b5ae_o.png\" alt=\"Practical Geometry Class 7 Extra Questions Maths Chapter 10 Q7\" width=\"146\" height=\"155\" \/><br \/>\nSolution:<br \/>\n\u2220A = \u2220B = 50\u00b0<br \/>\nAC = BC [\u2235 Sides opposite to equal angles are equal]\nHence, the required sides are AC and BC.<\/p>\n<p>Question 8.<br \/>\nIf one of the other angles of a right-angled triangle is obtuse, whether the triangle is possible to construct.<br \/>\nSolution:<br \/>\nWe know that the angles other than right angle of a right-angled triangle are acute angles.<br \/>\nSo, such a triangle is not possible to construct.<\/p>\n<p>Question 9.<br \/>\nState whether the given pair of triangles are congruent.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48053317066_4d38ef0811_o.png\" alt=\"Practical Geometry Class 7 Extra Questions Maths Chapter 10 Q9\" width=\"338\" height=\"151\" \/><br \/>\nSolution:<br \/>\nHere, AB = PQ = 3.5 cm<br \/>\nAC = PR = 5.2 cm<br \/>\n\u2220BAC = \u2220QPR = 70\u00b0<br \/>\n\u0394ABC = \u0394PQR [By SAS rule]\n<h3><span class=\"ez-toc-section\" id=\"Practical_Geometry_Class_7_Extra_Questions_Short_Answer_Type\"><\/span>Practical Geometry Class 7 Extra Questions Short Answer Type<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Question 10.<br \/>\nDraw a \u0394ABC in which BC = 5 cm, AB = 4 cm and m\u2220B = 50\u00b0.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48053360993_73d7748fce_o.png\" alt=\"Practical Geometry Class 7 Extra Questions Maths Chapter 10 Q10\" width=\"215\" height=\"135\" \/><br \/>\nSolution:<br \/>\nSteps of construction:<br \/>\n(i) Draw BC = 5 cm.<br \/>\n(ii) Draw \u2220B = 50\u00b0 and cut AB = 4 cm.<br \/>\n(iii) Join AC.<br \/>\n(iv) \u0394ABC is the required triangle.<\/p>\n<p>Question 11.<br \/>\nDraw \u0394PQR in which QR = 5.4 cm, \u2220Q = 40\u00b0 and PR = 6.2 cm.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48053405612_f3d9d7142c_o.png\" alt=\"Practical Geometry Class 7 Extra Questions Maths Chapter 10 Q11\" width=\"240\" height=\"133\" \/><br \/>\nSolution:<br \/>\nSteps of construction:<br \/>\n(i) Draw QR = 5.4 cm.<br \/>\n(ii) Draw \u2220Q = 40\u00b0.<br \/>\n(iii) Take R as the centre and with radius 6.2 cm, draw an arc to meet the former angle line at P.<br \/>\n(iv) Join PR.<br \/>\n(v) \u0394PQR is the required triangle.<\/p>\n<p>Question 12.<br \/>\nConstruct a \u0394PQR in which m\u2220P = 60\u00b0 and m\u2220Q = 30\u00b0, QR = 4.8 cm.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48053405212_993f9b3367_o.png\" alt=\"Practical Geometry Class 7 Extra Questions Maths Chapter 10 Q12\" width=\"216\" height=\"132\" \/><br \/>\nSolution:<br \/>\nm\u2220Q = 30\u00b0, m\u2220P = 60\u00b0<br \/>\nm\u2220Q + m\u2220P + m\u2220R = 180\u00b0 (Angle sum property of triangle)<br \/>\n30\u00b0 + 60\u00b0 + m\u2220R = 180\u00b0<br \/>\n90\u00b0 + m\u2220R = 180\u00b0<br \/>\nm\u2220R = 180\u00b0 \u2013 90\u00b0<br \/>\nm\u2220R = 90\u00b0<br \/>\nSteps of construction:<br \/>\n(i) Draw QR = 4.8 cm.<br \/>\n(ii) Draw \u2220Q = 30\u00b0.<br \/>\n(iii) Draw \u2220R = 90\u00b0 which meets the former angle line at P.<br \/>\n(iv) \u2220P = 180\u00b0 \u2013 (30\u00b0 + 90\u00b0) = 60\u00b0<br \/>\n(v) \u0394PQR is the required triangle.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Practical_Geometry_Class_7_Extra_Questions_Higher_Order_Thinking_Skills_HOTS_Type\"><\/span>Practical Geometry Class 7 Extra Questions Higher Order Thinking Skills [HOTS] Type<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Question 13.<br \/>\nDraw an isosceles right-angled triangle whose hypotenuse is 5.8 cm.<br \/>\nSolution:<br \/>\nRight angled triangle is an isosceles triangle<br \/>\nEach of its acute angles = \\(\\frac { 90 }{ 2 }\\) = 45\u00b0<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48053316666_9b1c106de5_o.png\" alt=\"Practical Geometry Class 7 Extra Questions Maths Chapter 10 Q13\" width=\"235\" height=\"147\" \/><br \/>\nSteps of construction:<br \/>\n(i) Draw AB = 5.8 cm.<br \/>\n(ii) Construct \u2220A = 45\u00b0 and \u2220B = 45\u00b0 to meet each other at C.<br \/>\n(iii) \u2220C = 180\u00b0 \u2013 (45\u00b0 + 45\u00b0) = 90\u00b0<br \/>\n(iv) \u0394ACB is the required isosceles right angle triangle.<\/p>\n<p>Question 14.<br \/>\nConstruct a \u0394ABC such that AB = 6.5 cm, AC = 5 cm and the altitude AP to BC is 4 cm.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48053360578_35fd709c8b_o.png\" alt=\"Practical Geometry Class 7 Extra Questions Maths Chapter 10 Q14\" width=\"316\" height=\"140\" \/><br \/>\nSolution:<br \/>\nSteps of construction:<br \/>\n(i) Draw a line l and take any point P on it.<br \/>\n(ii) Construct a perpendicular to l at P.<br \/>\n(iii) Cut AP = 4 cm.<br \/>\n(iv) Draw two arcs with centre A and radii 6.5 cm and 5 cm to cut the line l at B and C respectively.<br \/>\n(v) Join AB and AC.<br \/>\n(vi) \u0394ABC is the required triangle.<\/p>\n<p>Question 15.<br \/>\nConstruct an equilateral triangle whose altitude is 4.5 cm.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48053360523_429b89d69d_o.png\" alt=\"Practical Geometry Class 7 Extra Questions Maths Chapter 10 Q15\" width=\"255\" height=\"233\" \/><br \/>\nSolution:<br \/>\nSteps of construction:<br \/>\n(i) Draw any line l and take a point D on it.<br \/>\n(ii) Construct a perpendicular to l at D and cut AD = 4.5 cm.<br \/>\n(iii) Draw the angle of 30\u00b0 at on either side of AD to meet the line l at B and C.<br \/>\n(iv) \u0394ABC is the required equilateral triangle.<\/p>\n<h4><\/h4>\n","protected":false},"excerpt":{"rendered":"<p>Practical Geometry Class 7 Extra Questions Maths Chapter 10 Extra Questions for Class 7 Maths Chapter 10 Practical Geometry Practical [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"\"Get Practical Geometry Class 7 Extra Questions Maths Chapter 10 on Infinity Learn.\"","custom_permalink":"important-question\/maths\/class-7\/practical-geometry-class-7-extra-questions-maths-chapter-10\/"},"categories":[93,13,21],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Practical Geometry Class 7 Extra Questions Maths Chapter 10 - Infinity Learn by Sri 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