Mathematics - International - 0607 CIE

Angles

Akopọ

Angles are the grammar of geometry: a handful of simple rules let you find an unknown angle in almost any figure, from a single straight line to a many-sided polygon. The skill is choosing the right rule and explaining your reasoning.

In this lesson you will calculate unknown angles using the properties of points, lines, triangles and quadrilaterals, the angles formed when a line crosses parallel lines, and the angle properties of polygons.

Awọn Afojusun

  1. Calculate unknown angles and give simple explanations using the following geometrical properties: sum of angles at a point = 360° sum of angles at a point on a straight line = 180° vertically opposite angles are equal angle sum of a triangle = 180° and angle sum of a quadrilateral = 360°.
  2. Calculate unknown angles and give geometric explanations for angles formed within parallel lines: corresponding angles are equal alternate angles are equal co-interior angles sum to 180° (supplementary).
  3. Know and use angle properties of regular polygons.
  4. Know and use angle properties of regular and irregular polygons. (Extended only)

Ẹ̀kọ́ Ohùn

Gbọ́ ẹ̀kọ́ yìí nínú áàpù

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Káàdì ìrántí

Ìdánrawò kíákíá lórí ohun tí wọ́n ń dán wò nínú kókó yìí.

Ṣe ìdánrawò káàdì wọ̀nyí nínú áàpù

Akọ̀wé Ẹ̀kọ́

Angle reasoning appears throughout geometry, trigonometry and construction. Knowing the basic facts and giving a clear reason for each step is exactly what earns the marks.

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Ìdánwò Ẹ̀kọ́

Oriire fun ipari ẹkọ lori Angles. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.

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.

Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.

  1. Two angles on a straight line are x and 110°. What is x? A. 70° B. 90° C. 110° D. 250° Answer: A
  2. Angles at a point add up to: A. 90° B. 180° C. 270° D. 360° Answer: D
  3. The interior angles of a triangle add up to: A. 90° B. 180° C. 270° D. 360° Answer: B
  4. Each exterior angle of a regular pentagon is: A. 60° B. 72° C. 108° D. 120° Answer: B
  5. When a transversal crosses parallel lines, alternate angles are: A. equal B. add to 90° C. add to 180° D. doubled Answer: A

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Ṣe Adaṣe Awọn Ibeere Idanwo Adaṣe

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