NCERT Solutions for Class 9 Maths<\/a> Chapter 11 Constructions Ex 11.1 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\nNCERT Solutions for Class 9 Maths Chapter 11 Constructions Exercise 11.1<\/h2>\n Question 1. \nConstruct an angle of 90\u00b0 at the initial point of a given ray and justify the construction. \nSolution: \nSteps of construction: \n1. Draw a straight line AB. \n2. Taking A as centre, draw an arc, which intersects AB at a point D. \n \n3. Now, taking D as a centre, the same radius AD, intersect at E and F on the succession arc. (here AD = \\(\\widehat{\\text { DE }}\\) = \\(\\widehat{\\text { EF }}\\)) \n4. From point E take a radius (which should be greater than \\(\\frac {1}{2}\\) \\(\\widehat{\\text { EF }}\\)) then with the same radius from F intersect the arc at point C. \n5. Now, join C to A. \n6. The required angle \u2220ABC = 90\u00b0.<\/p>\n
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Question 2. \nConstruct an angle of 45\u00b0 at the initial point of a given ray and justify the construction. \nSolution: \n \nSteps of Constructions: \n1. Follow the instruction of the previous question upto \u2220ABC = 90\u00b0. \n2. Take an arc from the points H and G each which Intersect at I. \n3. Here \u2220FBC is half of \u2220ABC, FB is the angle bisector. \n4. So, the required \u2220FBC = 45\u00b0<\/p>\n
Question 3. \nConstruct the angles of the following measurements: \n(i) 30\u00b0 \n(ii) 22\u00bd\u00b0 \n(iii) 15\u00b0 \nSolution: \n(i) Steps of Construction: \n \n1. Take a straight line AB. \n2. Draw an arc, taking A as centre which intersects AB at C. \n3. From C take another arc \\(\\widehat{\\mathrm{CD}}\\) such that AB = \\(\\widehat{\\mathrm{CD}}\\) \n4. From C and D take similar arc which intersects at E. \n5. The required \u2220FAB = 30\u00b0.<\/p>\n
(ii) Steps of construction: \n \n1. Follow the instruction of question (2) i.e. \u2220FAB = 45\u00b0. \n2. Take the same arc from points C and K, intersect at G. \n3. The required \u2220HAB = 22\u00bd\u00b0<\/p>\n
(iii) Step of construction: \n \n1. Follow the instruction of 3: \n(i) \u2220EAB = 30\u00b0. \n2. Take a small arc from the points G and C that intersects at F. \n3. The required angle \u2220FAB = 15\u00b0.<\/p>\n
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Question 4. \nConstruct the following angles and verify by measuring them by a protractor: \n(i) 75\u00b0 \n(ii) 105\u00b0 \n(iii) 135\u00b0. \nSolution: \n(i) Steps of construction: \n1. Follow as in question 1. i.e. \u2220EAC = 90\u00b0. \n2. Take the same arc from points D and E which intersect at G. \n3. The required \u2220KAB = 75\u00b0. \n <\/p>\n
(ii) Steps of construction: \n1. Follow the instruction as in the previous question upto \u2220EAB = 90\u00b0. \n2. Take the same arc from points D and E intersect at F. \n3. Join F to A. \n4. The required \u2220GAB = 105\u00b0. \n <\/p>\n
(iii) Steps of construction: \n1. Follow the instruction as \u2220EAB = 90\u00b0. \n2. Take the same arc from the points E and F, Intersect at G. \n3. Join G to A. \n4. The required \u2220HAB = 135\u00b0. \n <\/p>\n
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Question 5. \nConstruct an equilateral triangle, given its side, and justify the construction. \nSolution: \nSteps of construction: \n \n1. Take a straight line XY. \n2. By measuring 6 cm on the scale, cut one point C on XY line the reverse the same to get B point. Here, BC = 6 cm \n3. From B and C points draw an arc of the same length intersect at A. \n4. We find here AB = BC = CA = 6 cm. Thus ABC is an equilateral triangle.<\/p>\n","protected":false},"excerpt":{"rendered":"
These NCERT Solutions for Class 9 Maths Chapter 11 Constructions Ex 11.1 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 9 Maths Chapter 11 Constructions Exercise 11.1 Question 1. Construct an angle of 90\u00b0 at the initial point of a given ray and justify the construction. Solution: Steps …<\/p>\n
NCERT Solutions for Class 9 Maths Chapter 11 Constructions Ex 11.1<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[6],"tags":[],"yoast_head":"\nNCERT Solutions for Class 9 Maths Chapter 11 Constructions Ex 11.1 - MCQ Questions<\/title>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\t \n\t \n\t \n