Mathematics (US) - 0444 CIE

Geometric Constructions

Bayani Gaba-gaba

A formal geometric construction uses only a pair of compasses and a straight edge, no protractor, no ruler markings. With those two tools you can bisect a line exactly in half, or split an angle into two equal parts, with perfect accuracy.

In this lesson you will make the two key constructions the syllabus asks for: the perpendicular bisector of a line segment and the bisector of an angle. Understanding why each set of arcs works makes the steps easy to remember and reproduce.

Manufura

  1. Make formal geometric constructions with a compass and straight edge, such as a perpendicular bisector and an angle bisector.

Darasin Sauti

Saurari wannan darasi a cikin manhaja

Taswirar tunani

An zana wannan batu don ka ga yadda ra'ayoyi ke hadewa.

Bude taswirar tunani a cikin manhaja

Katunan tunawa

Gwaji mai sauri kan abin da ake jarraba a wannan batu.

Yi atisayen wadannan katuna a cikin manhaja

Takardar Darasi

Constructions are how geometry is done without measurement: equal lengths and equal angles are guaranteed by the compass, not estimated. They also build the habit of precise, step-by-step working.

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Nazarin Darasi

Barka da kammala darasi akan Geometric Constructions. Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

  1. A perpendicular bisector cuts a segment: A. at one third B. in half at right angles C. at any angle D. at its end Answer: B
  2. Which tools are allowed in a formal construction? A. protractor and ruler B. compasses and straight edge C. set square only D. protractor only Answer: B
  3. An angle bisector divides an angle into: A. two equal parts B. three parts C. a right angle D. unequal parts Answer: A
  4. Bisecting a 90 degree angle gives two angles of: A. 30 B. 45 C. 60 D. 90 Answer: B
  5. For a perpendicular bisector you open the compasses to: A. less than half the segment B. exactly half the segment C. more than half the segment D. the full segment Answer: C

Yi aikin wadannan tambayoyi a cikin manhaja

Yi aikin wadannan tambayoyi a cikin manhaja

Yi Aikin Tambayoyin Gwaji

Kana son yin aikin tambayoyin gwaji kan Geometric Constructions? Sauke manhajar Green Bridge CBT don samun tambayoyin gwaji da cikakkun jarrabawa akan wannan batu.

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