CHAPTER 4: POLYGONS AND SOLIDS. 3 Which of the following are regular polygons? 4 Draw a pentagon with equal sides but with unequal angles.
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1 Mthemtis for Austrli Yer 6 - Homework POLYGONS AND SOLIDS (Chpter 4) CHAPTER 4: POLYGONS AND SOLIDS 4A POLYGONS 3 Whih of the following re regulr polygons? A polygon is lose figure whih hs only stright line sies n whih oes not ross itself. Numer of sies Polygon nme 3 Tringle 4 Qurilterl 5 Pentgon 6 Hexgon 7 Heptgon 8 Otgon 9 Nongon 10 Degon 12 Doegon 1 Nme these polygons oring to their numer of sies: 4 Drw pentgon with equl sies ut with unequl ngles. 5 Use ruler n protrtor to etermine whether the following polygon is regulr. 2 Explin why these shpes re not polygons: 4B TRIANGLES A tringle is polygon with three sies. A tringle is: A regulr polygon is polygon with ll sies the sme length n ll ngles the sme size. ² slene if the three sies ll hve ifferent lengths ² isoseles if t lest two sies hve the sme length ² equilterl if ll three sies hve the sme 120
2 POLYGONS AND SOLIDS (Chpter 4) Mthemtis for Austrli Yer 6 - Homework 1 How mny tringles re in the given figure? 6 Use protrtor n ruler to urtely onstrut this tringle: 5 m 50 4 m 2 Clssify the following tringles: 5 m 5 m 6 m 4 m 7 m 7 m 3 Use ruler to mesure eh sie of these tringles. Hene lssify eh tringle. 4 Aurtely onstrut tringle with sies 5 m, 6 m, n 3 m. 7 Use ompss, protrtor, n ruler to urtely onstrut this tringle: 8 3 m 2 m 5 Try to onstrut tringle with sies 5 m, 2 m, n 3 m. Mesure the sies of the tringle given. Mesure the ngles of the tringle. Wht o you suspet out the ngles of n equilterl tringle? Is it possile to onstrut this tringle? nswer. Explin your 121
3 Mthemtis for Austrli Yer 6 - Homework POLYGONS AND SOLIDS (Chpter 4) 4C QUADRILATERALS A qurilterl is polygon with four sies. ² A prllelogrm hs oth pirs of opposite sies prllel. The opposite sies of prllelogrm re equl in ² A retngle is prllelogrm with right ngle orners. The opposite sies of retngle re equl in ² A rhomus is prllelogrm with ll four sies equl in ² A squre is retngle with ll sies equl in Both pirs of opposite sies of squre re prllel. ² A trpezium hs one pir of opposite sies whih re prllel. ² A kite hs two pirs of jent sies whih re equl in 1 Drw n exmple of : squre prllelogrm. 3 Show how two tringles n e omine to form : trpezium prllelogrm. 4 True or flse? A squre is speil type of retngle. A retngle is speil type of kite. 5 Mesure the igonls of the retngle longsie. 4D Wht o you notie? Solis re ojets whih oupy spe. A ross-setion of soli is the shpe of slie through it. ² A prism is soli with uniform ross-setion tht is polygon. For exmple, ² A ue is retngulr prism with sies ll the sme A D retngulr prism B C SOLIDS 2 Nme the following qurilterls: ² A yliner is soli with irulr uniform ross-setion. ² A pyrmi is soli with polygon se. It hs tringulr fes whih ome from its se to meet t point lle the vertex. squre-se pyrmi 122
4 POLYGONS AND SOLIDS (Chpter 4) Mthemtis for Austrli Yer 6 - Homework ² A one is soli with irulr se n urve surfe from the se to the vertex. 1 Drw n nme the soli whih woul e forme from this net. ² A sphere is ll-shpe soli. 2 Drw net for squre-se pyrmi. 1 Nme these solis: 2 Drw n exmple of : tringulr-se pyrmi tringulr prism. 3 Whih soli woul est esrie the shpe of: lok of heese n ornge? TASTY CHEESE 4 Stte whether the following solis hve: A only flt surfes B only urve surfes C oth flt n urve surfes. ue one 3 Drw the net whih oul e use to onstrut this ue. How woul you hnge this net so tht the ox is open t the top? 4 Ientify the soli whih woul e forme from this net. pentgonl prism 5 Nme soli whih hs only squre surfes. 4E CONSTRUCTING SOLIDS 5 Determine whether these nets n e use to mke tringulr prism: Nets re ptterns whih n e fole long ertin lines so tht we n mke 3-imensionl moels of solis. 123
5 Mthemtis for Austrli Yer 6 - Homework POLYGONS AND SOLIDS (Chpter 4) 6 Drw n ext net whih oul e use to onstrut: 3 m 2 m 1 m 5 Nme these qurilterls: 6 Drw n exmple of : sphere pentgonl prism. REVIEW OF CHAPTER 4 1 Nme the following polygons oring to their numer of sies: 2 Drw the following polygons: equilterl tringle regulr pentgon 7 Nme these solis: 8 Drw n nme the solis whih woul e forme from the following nets: 3 Clssify the following tringles: 6 m 5 m 4 m 6 m 3 m 4 m 4 Using ompss n ruler only, onstrut tringle with sies 4 m, 2 m, n 3 m. 124
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