Chapter 14 Symmetry Exercise 14.1
Question 1: Copy the figures with punched holes and find the axes of symmetry for the following:
(a)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSe4H-9bsHS3zkCmn2kknyzZc-rHtYOvqR49PthkmPkpv-7tK5U01WQClj7tHhlWCWyqn8d41hun9zOYJ3JArZratTIPtnw8UM7MaqXjP_0WP1FbXQi_5TmEpdOYHc8cJROdlF2u9Kaiik/s16000/Q1+%2528a%2529.jpg)
(b)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfI_w0npS_eyD2UtS_59WH8Nql765UniC85oR417W1KA5-dda1Ta40kSlS93GVGMKS88kYIy4VBVxzpFQjZ4dOfSBvn2U_q2aJo8_oIPCrzr633sDyXhq9MKVI5Rqto86qEPnu7gptMSHo/s16000/Q1+%2528b%2529.jpg)
Answer:
(c)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjvxr3s2Q-HeXes69on_BT2PjoFYGzNaLPItamrHrKCmqpY5V5niEbXJTqomJDHfZa-hj-3FgTP08OxI_IZTjj4gIqrZQEFdQkhi4DK5fWpgdGEH-MjgUJ8Gq3y8ed8YrbPI5F_NLPmIecr/s16000/Q1+%2528c%2529.jpg)
(d)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0F0CluGw3TKCJ4v2Kkaob2q8yr1h8SNgOMntL_DLogyaF1p0cPKS_StJ4R6_EiyN0xkrLgPwk6bPGthfGD0suIEGav-33r9z9hiP4A08xIblI6sXf2m326NK7n-DRFGsdONR14czCcnyJ/s0/Q1+%2528d%2529.jpg)
Answer:
(e)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghcaovfyQtVNUWUJ-o5bASViDpZE_ndLqvmwvt5_b5EWXZ3EYv14xErUEz7I3l7LDTsBiQGNO_J0gY26zKk2fNbHZnUv7gEMf8JsLngaRyO0nh14fQICq08jBCaDMXYBDJF7h9qR_0qeQD/s0/Q1+%2528e%2529.jpg)
Answer:
(f)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEilImpYJeWrqlZyLHMo4PiNtr51t9EUmOQkQ4f2Tl_U517jj1JzRsEjeX8sK1XqG9iX4NwCq9HAcSPo1AeDCeG58BPZO_GgjALfrlwY5N9FAynOKpEAfGRe-NL9thMNPvxVQKaBzs0ukuBy/s0/Q1+%2528f%2529.jpg)
Answer:
(g)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhvyKcJiUBs2P2K60y-QD1VkHJ0Pm7zN5Hk37KFUgGtVyQ90Hr_O6MzTDt2i1gyE_k38rxDrMqhFbrwTjsvGX6x_4HPYQANHHQb5TZCwJ0xk1dfQ0JsrKG56gL4D_A2AYxVMuSGLlCD_TAC/s0/Q1+%2528g%2529.jpg)
Answer:
(h)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXtBqmR4WOTqtTtvKj5xJ-8xWGUM8tUMEMF9UWqkByt7DNNzbSfej7Eh8zg4oR9fAiMVMd089IrclKJOde9oU59m9vguV2LGxLO39QVcSODYo9Vpu7qzyLcslT8Sk4UkMfAYEGi4ip8_iB/s0/Q1+%2528h%2529.jpg)
Answer:
(i)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUrBscA-ihjU0FzXgAe79Q9vOJS952PrwkXPdMaqBmIS9Pstsf7gc1BQw81oRTbxhuyvDCUmNh7QgV6yL-dGvnDLWOwRDSPLbwUcYW0xonPQIK9C1UbjbSdN7akanOIDYMCpt5NyYw08Cq/s0/Q1+%2528i%2529.jpg)
Answer:
(j)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiBNoxDucd77MBYRj8aphkqQvdcVOfM29w_Zf8Q6Gge54d4oKOf0pm8Q5uhrW74-9ep0d1eaEHOoyM7QKIVaCB8IigNYzxP6YWWCowcMifW9e4bXFOSE5EH9P7RfclRrSvXp42ENwWG8PiH/s0/Q1+%2528j%2529.jpg)
Answer:
(k)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhTqG19iCWJbwPzRD3StroKCxU6JVC_8KK6Xzps5TmcqLfuatILdtgjgX-qzlj9akr5atgGe8knmwgV0-PUIA0ROe4i9sttVnS1pIHjdyupnBa7xlTFcnrtSU0fTBriyjlKPkuf_NI3t9H_/s0/Q1+%2528k%2529.jpg)
(l)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhp0DiXsrV5A3sD2o8iaXlrCSd6QaH4-zN3E8be7is1QdLc633fio157hnb71g3q_4bwGUB9XkJLrJHquW7QjbMpX9afqIzRZYVNM6xiFfe0On1CUAOZyj_nKfWADhfEIroU2CdyCWbOMTz/s0/Q1+%2528l%2529.jpg)
Answer:
Question 2: Given the line(s) of symmetry, find the other hole(s):
(a)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7ZJJvKGdqGGF5_yyKr9bWHHbJ_AYg1V9-3skL0Rg4wlLv5Y8PVDlVZ-0MvT3TrF6oUAqiyTwGVkwOy-38g7a7K09pM2jSCsFjz9rFbwoZQova1rD0Ld_1YVPKCimYOMqeqHac4HRQEPlc/s0/Q2+%2528i%2529.jpg)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdeWY1BHpanZoO5g4c3GjxQ6Wo9GOoOzq6OVgyaQbsDSRKfWAuJNOrlbeysCypJ2koAmlRnQ_OIO93JuAR1TX-ZlU3Qm6Oxw7A_6D08Tk1OQumUwhzI15xXyR6Ahx_P7CYmqN3nmef2qFu/s0/Q2+%2528ii%2529.jpg)
(c)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirVUrrzZ_gKFLWPbHPDKCZ_LMBE57Ht7Gi4e65KWhLQiXa3umGvSG16rs2WoHqYvhMcRNmRlj51fEzoLnKvMbq7PXxe5lgNvci55mbaFyeT30U1rquf_YCBvhnXOCTMt0ahLioWcDO6Elf/s0/Q2+%2528iii%2529.jpg)
(d)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjZZ2O1Wqrsss1DGhtJvBROiC7_UC7EVmFofRRKLKD2l_yWzXTLjPyylghYXSBTmuk1gmm46-d4b0XHxPhrt6sY_24oZeofBUXdVpFK5JuxCSlZtUoLu589J183EEVJSRS3EXziwU6afon8/s16000/Q2+%2528iv%2529.jpg)
(e)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPcsOrTdJxK1CSovrqm7uMX2e2WkHhBwlXYV2Xzz6SyEMvyw9v5VsaJktkbmm_tn4iNT2XCV60mZ4QPjqdtFczEw3iSRd1dChm8iX3Rtl_rKab2NCcnFkeVGbgLlzFb3UHYczahmqAQGtr/s16000/Q2+%2528v%2529.jpg)
Question 3: In the following figures, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete each figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?
(a)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiScUML469rYsQiXkFLrcxS9j6_8ZF8WYPFCWIA9k38onDH08TxtX9P5r_H8lZruITfMHCSpSm3ECoAM76tOU6k9NvppDNHz-mwPCTCL50p-s0IL3dcjbNN831bYx4X2ngm1pyVzdeSLEam/s16000/Q3+%2528i%2529.jpg)
(b)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiW7taCWyBO6uVZihKX7DzgbBKaENdBtAOd8wUohANnpmsXJgzi7ZEm_PNNgU1BB_h4L_Ojie_b3gqj48a3x0kwDuRqE8vvy8vJmOBtjNv2g4UgksD5NobFQ4CCH70CjQ3zhttbH1B_3sX4/s0/Q3+%2528ii%2529.jpg)
(c)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfnLgUH3KZlb90IogdCB5PWiuM91MazCqyhfkp37IBded45YX1ykveAQ5s6sMS__dObt21Mv802UzvO6zK-VO698e1ATUGT7KPq4wMz4ePWusyNFKrf652GM7mKKP_Zas5xiHnhumyK4RA/s16000/Q3+%2528iii%2529.jpg)
(d)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhkKhFVSBHN6e7W81Z_Z7QiC8giB5OwCv5FRoWBjRPgwJhQFqUxO4hS8UwAPQkADgUQIRhAPk08TjPlmtN1mgh5Brk2EOcZBoOavxfxJYHnkJGcWrvGz_xBdsbuUeUsX4PALRXTLHKj3jId/s0/Q3+%2528iv%2529.jpg)
(e)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh3efswmNqrGJhwgwLpFS-duDsF32cdqsBUFO9yPNQE2nOzgWgCcRMCWDveU4kSO6yeNkPrr_R2mKap_Viahq4Tyn05xIRT3YmL9ZsJ2IYteslv7vC1wDvlZnft2gQdrkDPENdiZjVBvazA/s16000/Q3+%2528v%2529.jpg)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEja7u9OwWp0wOLksOyD-cqCnwI2BHdN3R8i94P4cGiToj_l5UGNFWiFRDtBzRPRlq5rF0_2hd41BIzK0bDo17h5RHOeTTRxR4WNEHwBhRHeJIZyYFrJM_LnGRelDXnMmob5910CqPZoxNmm/s16000/Q3+%2528vi%2529.jpg)
Question 4: The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhmD9mAaCxX-IaDnLLr12zmG9dnm7hhPwk3Ca5PV0C429ZgaqQ__FD4DwlCUWi-AuCgGRsG0TptArwmCkFQ4ZyCq4i-xLSghkhvNDZhG-r0qa1a7z98_piesuGb31Zym4HicSw7xrOFa5b7/s16000/Q4.jpg)
Identify multiple lines of symmetry, if any, in each of the following figures:
(a)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpf6dEnOyegw_W26LmFF0T8BgayDu3P6c_ADuyrGZ4mzge7RxfRzjW2BdEEmogHjli1EQRq4iV5jASk9OKKAC-L3OiQr8fgHB_OEXR74jk2YpLyOAv0s36d757Eo6Xew0x05ib20R4-ZXT/s16000/Q5+%2528i%2529.jpg)
(b)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQVzZJLY_C07_HekVfsB0e8k3hhrr8UnPbUuoKUtqkWXeOcWN8ZevQU3Z2Yf5R4sMVjO9OqNNpbF4rnduqQKywuaCSGF8g24lj1yBn_LvvZ7hCrPuC65cQfQzm3dlXexOgOqzWr4wGE33s/s16000/Q5+%2528ii%2529.jpg)
(c)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyuQVHtEp80fd30y5DUvFaIyxP3WLeKn5SH0F-BkyVhhS-I6TygqQoD30ObGRW8Kucs6s9uvRBxd7xwVR46PVs6TsO4wSjbu7Pf0WFGnqeBaGOR6jj64pmV-JYytqmerhBxxX_oDyN-T6f/s0/Q5+%2528iii%2529.jpg)
(d)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbFlLQJhlgfb-lLCiVL-f9F6MvQDneZv4XaMzeNmrO4ib3Kvm7hMXSY2z9eN_rdpEsuJ0IrYWBPUAJLUacllKrNRd_h9CZoV-HSUMk5a3LTae3WB6E5g7AB5NL5a_L8rijhqgbpMWKHTk5/s16000/Q5+%2528iv%2529.jpg)
(e)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhmKa0GpWadxpbDT69UsJQ6MOhXvLtkyDegl5Ws1hRE8mgQoOzUjAj-VN8ZqGbjIl3IWfpXPMCi86Bugg0ykLFOWzuEJDvo3fihFt2MRXSBt3bkHBZPg_1m9vTgVO6UyTpBCZ1mQBwToq-k/s0/Q4+%2528e%2529.jpg)
The figure given has 4 lines of symmetry. So, it has multiple lines of symmetry.
(f)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgzJuCQ7B3mhha4scwUHzI1g3XfPxwQWrJHSkUW42aKn47jrP7MFqVsnOMZp_db4TID6H0xFmaJXneUMbDmyXIvfE1SqoRzFFvB5H6D0GOhyphenhyphenjsiPPeSGlsXUEP4XiblrMJc5pNfAbMSDXpF/s0/Q4+%2528f%2529.jpg)
The figure given has only 1 line of symmetry.
(g)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1OdFmYW1f8zm8WtbwN7GLO62dNNYMBUkgwgO6T-4tVEJzYUtGQTvgb9d40jCViRVLsae8esqtK3I-d2JBUEtt8-RDAs-yxIxSU2cutfUAw3MKJ1w8bmJZ4CkJrSocUWi1wLoCZ5sU5vEa/s0/Q4+%2528g%2529.jpg)
The figure given has 4 lines of symmetry. So, it has multiple lines of symmetry.
(h)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyhvmEidlQIUa1Zt3iL-cJOpnc3muDp13xNZu4RivOrfejyCVy-JwPcSwbvEW4kRNMNsWMIVxvLv-7OYNDLGwDEyAyt3cCJa3UK-oxf2x4Rui5LOZTMF1XZeRg80w-MRxTv8A3nPSDutm_/s0/Q4+%2528h%2529.jpg)
The figure given has 6 lines of symmetry. So, it has multiple lines of symmetry.
Question 5: Copy the figure given here.
Take any one diagonal as a line of symmetry and shade a few more squares to make the figure symmetric about a diagonal. Is there more than one way to do that? Will the figure be symmetric about both the diagonals?
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiJvdBtBEInyzLkgOBUCNYSMmyrW9xshuK1_UjcwE4VtJCS6SJ6-O8F2UZjGeSEJBZtirI8LsiIMmhfEkf11J_y5zcAUzZUMF9UsCceC0WaqE5XZ2hLudT6XqZVLGb_mKD_L4c1rB4Eyfdn/s16000/Q5+.jpg)
Question 6: Copy the diagram and complete each shape to be symmetric about the mirror line(s):
(a)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghycp8o-GtWWtqFNLpH8cY2tU8ySXpzS7YKGtwTJFp2krYoHQ9BW5FhvgTGOWw-GhhYb5djvGwIHLAEQz7sH6J_c_q0wunW6wNmnWsO756Upv9hyKCZHtgYo8v0Z4QRzFAItHJQPTHwnMg/s16000/Q6+%2528a%2529.jpg)
(b)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjx74drQj809JMlTtW82UyougAip53SKMl2fHkqG2G3DVtH2U4wF8Qp0jvU6TR9nGCuCxuoODFMxQn5spYeopD24u_QzG681m4ZOdFsEtb4sIgeBHBaE21eLl9ee1ogyB9KC9utuuHS7XbH/s0/Q6+%2528b%2529.jpg)
(c)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQfy97UcWMYOmu1jqjuXXegsFZ8IZhcfV-QDa41zbg9eoBA7zki1AQN5l4caFwDQYxJkaCCkZWps94VwjtVll1bTOnZf5h9_i0gfKzgkhKo1EDVRun8P46eJ75gLMxaSg-ae8XDV06YP3I/s0/Q6+%2528c%2529.jpg)
(d)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEglORf4tKn5wK6ZqMf3XjMF3sYLLBagnnnsj4nI-2uKHhQ9MUQV9Q1sk323TPK_y4_6g1rpXLi3jGo8nUXiWv3RxSMfDIMU-SO0R8OyVyYfF9k5WfyQCGvMvY0-9x2JPfOxTZqRGWD6tqAm/s0/Q6+%2528d%2529.jpg)
Question 7: State the number of lines of symmetry for the following figures:
(a) An equilateral triangle
Answer: An equilateral triangle has 3 lines of symmetry.
(b) An isosceles triangle
Answer: An isosceles triangle has 1 lines of symmetry.
(c) A scalene triangle
Answer: A scalene triangle has no line of symmetry.
(d) A square
Answer: A square has 4 lines of symmetry.
(e) A rectangle
Answer: A rectangle has 2 lines of symmetry.
(f) A rhombus
Answer: A rhombus has 2 lines of symmetry.
(g) A parallelogram
Answer: A parallelogram has no line of symmetry.
(h) A quadrilateral
Answer: A quadrilateral has no line of symmetry.
(i) A regular hexagon
Answer: A regular hexagon has 6 lines of symmetry.
(j) A circle
Answer: A circle has infinite lines of symmetry.
Question 8: What letters of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about.
(a) A vertical mirror
(b) A horizontal mirror
(c) Both horizontal and vertical mirrors
Answer:
a) A vertical mirror - A, H, I, M, O, T, U, V, W, X, Y
b) A horizontal mirror - B, C, D, E, H, I, K, O, X
c) Both horizontal and vertical mirrors - H, I, O, X
Question 9: Give three examples of shapes with no line of symmetry.
Answer: A scalene triangle, a quadrilateral and a parallelogram
Question 10: What other name can you give to the line of symmetry of
(a) An isosceles triangle?
Answer: The other name to the line of symmetry of an isosceles triangle is median or an altitude.
(b) A circle?
Answer: The other name to the line of symmetry of a circle is diameter.
No comments:
Post a Comment