Mathematics (9-1) - 0980 CIE

Geometrical Constructions

Akopọ

Some geometry is done not by calculation but by careful drawing. With nothing more than a ruler, a protractor and a pair of compasses you can measure an angle, build an accurate triangle from three lengths, and unfold a solid into a flat net. These are practical skills, and accuracy is everything.

In this lesson you will learn to measure and draw lines and angles, to construct a triangle from three given sides using compass arcs, and to draw and read the nets of simple solids. Each method is set out as a clear, ordered list of steps you can follow with instruments in hand.

Awọn Afojusun

  1. Measure and draw lines and angles.
  2. Construct a triangle, given the lengths of all sides, using a ruler and pair of compasses only.
  3. Draw, use and interpret nets.

Ẹ̀kọ́ Ohùn

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Akọ̀wé Ẹ̀kọ́

Constructions train the precision that real design depends on. An engineer's drawing, a dressmaker's pattern and an architect's plan all rely on lengths and angles being exactly right, because a small error early on grows into a large one later. Learning to measure and construct carefully by hand builds the habit of accuracy that every practical use of geometry demands.

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Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.

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  1. Which instrument is used to measure the size of an angle? A. ruler B. protractor C. compasses D. set square Answer: B
  2. To construct a triangle given the lengths of all three sides, you use: A. a protractor only B. a ruler and protractor C. a ruler and compasses only D. compasses only Answer: C
  3. How many squares make up the net of a cube? A. 4 B. 5 C. 6 D. 8 Answer: C
  4. Which set of three side lengths cannot form a triangle? A. 3 cm, 4 cm, 5 cm B. 2 cm, 3 cm, 6 cm C. 5 cm, 5 cm, 5 cm D. 6 cm, 8 cm, 10 cm Answer: B
  5. The net of a cylinder consists of: A. two circles and a rectangle B. six rectangles C. one circle and a triangle D. four triangles and a square Answer: A

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