Mathematics - International - 0607 CIE

Angles

Gbogbo ọrọ náà

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.

Ebumnobi

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°.
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).
Know and use angle properties of regular polygons.
Know and use angle properties of regular and irregular polygons. (Extended only)

Akọmọ Ojú-ẹkọ

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.

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

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Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Angles. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

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