{"id":7566,"date":"2023-05-26T16:08:43","date_gmt":"2023-05-26T10:38:43","guid":{"rendered":"https:\/\/apboardsolutions.in\/?p=7566"},"modified":"2023-05-27T17:19:32","modified_gmt":"2023-05-27T11:49:32","slug":"ap-board-8th-class-maths-solutions-chapter-8-intext-questions","status":"publish","type":"post","link":"https:\/\/apboardsolutions.in\/ap-board-8th-class-maths-solutions-chapter-8-intext-questions\/","title":{"rendered":"AP Board 8th Class Maths Solutions Chapter 8 Exploring Geometrical Figures InText Questions"},"content":{"rendered":"

AP State Syllabus 8th Class Maths Solutions 8th Lesson Exploring Geometrical Figures InText Questions<\/h2>\n

AP State Syllabus\u00a0AP Board 8th Class Maths Solutions<\/a> Chapter 8 Exploring Geometrical Figures InText Questions and Answers.<\/p>\n

8th Class Maths 8th Lesson Exploring Geometrical Figures InText Questions and Answers<\/h3>\n

Do this<\/span><\/p>\n

Question 1.
\nIdentify which of the following pairs of figures are congruent.\u00a0 \u00a0 \u00a0[Page No. 184]
\n\"AP
\nAnswer:
\nThe congruent figures are (1, 10), (2, 6, 8), (3, 7), (12, 14), (9, 11), (4, 13).<\/p>\n

\"AP<\/p>\n

Question 2.
\nLook at the following pairs of figures and find whether they are congruent. Give reasons. Name them.\u00a0 \u00a0 [Page No. 185]
\n\"AP
\nAnswer:
\ni) \u25b3ABC, \u25b3PQR
\n\u2220A = \u2220Q Angle
\nThere is no information about other angles (or) sides.
\nBut if we overlap each other, they coincide.
\n\u2234 \u25b3ABC \u2245 \u25b3PQR<\/p>\n

ii) From \u25b3PLM, \u25b3QNM
\nPL = QN (S)
\nLM = MN (S)
\nPM = QM (S)
\nBy S.S.S congruency, these two triangles are congruent.
\n\u2234 \u25b3PLM \u2245 \u25b3QNM<\/p>\n

iii) From \u25b3LMN, \u25b3PQR
\nNL \u2260 PQ,LM \u2260 QR, NM \u2260 RP [\u2235 The corresponding angles are not given]
\n\u2234 \u25b3LMN \u2246 \u25b3PQR<\/p>\n

iv) From fig. ABCD is a parallelogram and LMNO is a rectangle.
\nIn any case a rectangle and a parallelogram are not congruent.
\n\u2234 \u25b1 ABCD \u2246 \u25a1 DLMNO<\/p>\n

v) Both the circles are having same radii,
\ni.e., r1<\/sub> = r2<\/sub> = 2 units
\n\u2234 The given circles are congruent to each other.<\/p>\n

\"AP<\/p>\n

Question 3.
\nIdentify the out line figures which are similar to those given first.\u00a0 \u00a0 [Page No. 186]
\n\"AP
\nAnswer:
\nThe similar figures are (a) (ii), (b) (ii).<\/p>\n

Question 4.
\nDraw a triangle on a graph sheet and draw its dilation with scale factor 3. Are those two figures are similar?\u00a0 \u00a0 \u00a0 [Page No. 191]
\nAnswer:
\nStep – 1: Draw a \u25b3 PQR and choose the center of dilation C which is not on the triangle. Join every vertex of the triangle from C and produce.
\n\"AP
\nStep – 2: By using compasses, mark three points P\u2019, Q\u2019 and R\u2019 on the projections
\nso that
\nCP\u2019 = k(CP) = 3CP
\nCQ\u2019 = 3 CQ
\nCR\u2019 = 3 CR
\n\"AP
\nStep- 3: Join P\u2019Q\u2019,Q\u2019R\u2019and R\u2019P\u2019.
\nNotice that \u25b3P\u2019Q\u2019R\u2019 ~ \u25b3PQR
\n\"AP<\/p>\n

\"AP<\/p>\n

Question 5.
\nTry to extend the projection for any other diagram and draw squares with scale factor 4, 5. What do you observe? [Page No. 191]
\nAnswer:
\nSometimes we need to enlarge 10 the figures say for example while making cutouts, and sometimes we reduce the figures during designing. Here in every case the figures must be similar to the original. This means we need to draw enlarged or reduced similar figures in daily life. This method of drawing enlarged or reduced similar figure is called \u2018Dilation\u2019.
\n\"AP
\nObserve the following dilation ABCD, it is a square drawn on a graph sheet.
\nEvery vertex A, B, C, D are joined from the sign \u2018O\u2019 and produced to 4 times the length upto A, B, C and D respectively. Then A, B, C, Dare joined to form a square which 4 times has enlarged sides of ABCD. Here, 0 is called centre of dilation and
\n\\(\\frac{OA\u2019}{OA}\\) = \\(\\frac{4}{1}\\) = 4 is called scale factor.<\/p>\n

Question 6.
\nDraw all possible lines of symmetry for the following figures.\u00a0 \u00a0 \u00a0[Page No. 193]
\n\"AP
\nAnswer:
\n\"AP<\/p>\n

Try these<\/span><\/p>\n

\"AP<\/p>\n

Question 1.
\nStretch your hand, holding a scale in your hand vertically and try to cover your school building by the scale (Adjust your distance from the building). Draw the figure and estimate height of the school building.\u00a0 \u00a0 \u00a0 [Page No. 189]
\nAnswer:
\nIllustration: A girl stretched her arm towards a school building, holding a scale vertically in her arm by standing at a certain distance from the school building. She found that the scale exactly covers the school building as in figure. If we compare this illustration with the previous example, we can say that
\n\"AP
\nBy measuring the length of the scale, length of her arm and distance of the school building, we can estimate the height of the school building.<\/p>\n

Question 2.
\nIdentify which of the following have point symmetry.\u00a0 \u00a0 \u00a0[Page No. 196]
\n1.
\n\"AP
\n2. Which of the above figures are having symmetry ?
\n3. What can you say about the relation between line symmetry and point symmetry?
\nAnswer:
\n1. The figures which have point symmetry are (i), (ii), (iii), (v).
\n2. (i), (iii), (v).
\n3. Number of lines of symmetry = Order of point symmetry.<\/p>\n

Think, discuss and write<\/span><\/p>\n

Question 1.
\nWhat is the relation between order of rotation and number of axes of symmetry of a geometrical figure?\u00a0 \u00a0 \u00a0[Page No. 195]
\nAnswer:
\nThe line which cuts symmetric figures exactly into two halves is called line of symmetry. The figure is rotated around its central point so that it appears two or more times as original. The number of times for which it appears the same is called the order of rotation.
\n\"AP
\nFrom the above table number of lines of symmetry = Number of order of rotation.<\/p>\n

\"AP<\/p>\n

Question 2.
\nHow many axes of symmetry does a regular polygon has? Is there any relation between number of sides and order of rotation of a regular polygon?\u00a0 \u00a0 \u00a0 [Page No. 195]
\nAnswer:
\nNumber of sides of a regular polygon are n. Then its lines of symmetry are also n.
\n\"AP<\/p>\n","protected":false},"excerpt":{"rendered":"

AP State Syllabus 8th Class Maths Solutions 8th Lesson Exploring Geometrical Figures InText Questions AP State Syllabus\u00a0AP Board 8th Class Maths Solutions Chapter 8 Exploring Geometrical Figures InText Questions and Answers. 8th Class Maths 8th Lesson Exploring Geometrical Figures InText Questions and Answers Do this Question 1. Identify which of the following pairs of figures … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/7566"}],"collection":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/comments?post=7566"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/7566\/revisions"}],"predecessor-version":[{"id":40729,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/7566\/revisions\/40729"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/media?parent=7566"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/categories?post=7566"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/tags?post=7566"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}