Circle Theorems
Gbogbo ọrọ náà
Circle theorems are a set of elegant rules about the angles and lines inside a circle. They look like magic at first, but each one is reliable and, used together, they let you find angles that would otherwise be impossible to reach.
In this lesson you will calculate angles using circle properties: the angle in a semicircle and the tangent-radius right angle at Core, plus (at Extended) the angle at the centre, angles in the same segment, cyclic quadrilaterals and the alternate segment theorem.
Ebumnobi
- Calculate unknown angles and give explanations using the following geometrical properties of circles: angle in a semicircle = 90° angle between tangent and radius = 90°.
- Calculate unknown angles and give explanations using the following geometrical properties of circles: angle in a semicircle = 90° angle between tangent and radius = 90° angle at the centre is twice the angle at the circumference angles in the same segment are equal opposite angles of a cyclic quadrilateral sum to 180° (supplementary) alternate segment theorem. (Extended only)
Nkuzi Olu
Gee ntị na nkuzi a na ngwa
Maapụ uche
E seela isiokwu a ka ị hụ otu echiche si ejikọta.
Mepee maapụ uche na ngwa
Kaadị ncheta
Omume ncheta ngwa ngwa n'ihe a na-anwale n'isiokwu a.
Mee omume kaadị ndị a na ngwa
Akwụkwọ Ọmụmụ
Ndetu Nkuzi Zuru Ezu di na Ngwa Green Bridge
Nweta ngwa Green Bridge CBT na ekwenti gi ma o bu kompiuta maka ulo akwukwo IGCSE zuru oke: akwukwo ule ndi gara aga, usoro nyocha, eserese uche, kaadi omumu na nkuzi olu.
Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Circle Theorems. 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.
- The angle in a semicircle is: A. 45° B. 60° C. 90° D. 180° Answer: C
- The angle between a tangent and a radius is: A. 0° B. 45° C. 90° D. 180° Answer: C
- An angle at the centre is 100°. The angle at the circumference on the same arc is: A. 50° B. 100° C. 180° D. 200° Answer: A
- Opposite angles of a cyclic quadrilateral add up to: A. 90° B. 180° C. 270° D. 360° Answer: B
- One angle of a cyclic quadrilateral is 85°. Its opposite angle is: A. 85° B. 95° C. 105° D. 275° Answer: B
Rue ajuju ndi a n'ime ngwa ahu
Rue ajuju ndi a n'ime ngwa ahu
Akwụkwọ A Na-atụ Aro
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Circle Theorems? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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