Chapter 4 Basic Geometrical Ideas Exercise 4.2
Question 1: Classify the following curves as (i) Open or (ii) Closed.
![Question 1](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEihiE9NuseUWc8-6wxIiETwsfO8aQWxFWgBU3Jx63V0u-U-DxPU9WvUn4J6lofbLF4bzSSFxv8uldEs5nxi2aWXF1DqCh8BgagVJPtWjgBEUZ63IVq8ZqlqtWIBRG5FJ6Q3Dj18gE1nZSP6-feEhrtYVxxAqWNxETV29K6BDf13ajdyZkrTVq95es_iwQ/s16000-rw/1.png)
Answer:
a) Open curves
b) Closed curves
c) Open curves
d) Closed curves
e) Closed curves
Question 2: Draw rough diagrams to illustrate the following:
a) Open curve
b) Closed curve
Answer:
![Question 2 Answer](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAUpcVigspojou2a-E5iD_Bo_s4U0Eh6f_5v1Jbe9we3lwGKNf3biCtOUcXKx3CZ62nQp9V1pbB8FG_96O1f0d4OMBRWgUKIWi0gJSOoGk_HuJP6EjmoSbHI42235vVV8QYMwy6rDlnNGz_LGvnkPMGpyR8EJCS0mY_GrxHHXzYeI8ybk6ivNLmTibpQ/s16000-rw/3.png)
Question 3: Draw any polygon and shade its interior.
Answer:
![Question 3 Answer](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4opeCkCQVT4CNErJi38SmjBv4ZDMCrUoxoH773YaKSFJsVMgPSsWfNUb4T-hR3srO26YA-x5UfEQLiUoEw6fRvNxt9ZVy8Cz0OhXkz8DPqOy35rtIt8Bqx_HLq5L9XLUhzQ3fjpyesgSeezkEJmTEuyVUS9HeIO2W3zIHxoiRa2vgIO4n8ApRtRbZ2Q/s16000-rw/4.png)
Question 4: Consider the given figure and answer the questions:
![Question 4](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiBFnN7YDYs4VF-kRde_vdxt3zb_aU1QeTLHuEpc45obbSEvGK298C8jWbEMbjZPZnCWD6Lxhxf_-jwfjqL8XZGGfHKVGj4iTfa5Wq8m-MTjFmDKuhLogUdoTOspHSPHoM1irumNF_u_8-PsOhKUd7tuI0kLElAB1fcu_0gM59Hsb1_sXoSap1PuUve-w/s16000-rw/2.png)
a) Is it a curve?
b) Is it closed?
Answer:
a) Yes, it is a curve.
b) Yes, it is closed.
Question 5: Illustrate, if possible, each one of the following with a rough diagram:
a) A closed curve that is not a polygon.
b) An open curve made up entirely of line segments.
c) A polygon with two sides.
Answer:
a) Yes it is possible to illustrate a closed curve that is not a polygon.
![Question 5 Answer a)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVpSF1xuyrbUDhonkr_hYPbN-sN0kWZlY6OEyJQLdFn5OTUpR4-sjBhPJivKYoa3-SSIsa3bT_9Neq3_QmCrqd61u_TnNjFvosSomITyBX2OklV1w_e5NmClpLA4GaX2HXEIq7p2nT-zM7Uzg8pubWjDwb9ceS-5U4Z4iXg67pm0aGZO9REUrZ6QdHrw/s16000-rw/5.png)
b) Yes it is possible to illustrate a open curve made up entirely of line segments.
![Question 5 Answer b)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgh-Csvidyia44MoLSBg2E1mzc20mylbd2pMoMSDEF_vXfX9Ubo8aZEmZamAmbcEsZrK6nXT5UFhlE2P7eZgEEiTe5mgcME3c58_Q1jc8tq2975CRiZpK2z1V2eSwvtqAnx7Bfpt7bvEoWwkFA9U1jplqITAb-uNWpS-L1awEBGOavre9jI8h8b43Hs-Q/s16000-rw/6.png)
c) No, it is not possible to illustrate a polygon with two sides. A polygon should have atleast three sides (triangle).
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