Maajin Koyon Korafi Na {0}

Bayani Gaba-gaba

Beyond the angle theorems, circles have neat symmetry properties about their chords and tangents. These let you find lengths and prove that certain lines pass through the centre, and they round out your toolkit for circle problems.

In this lesson (Extended tier) you will use three symmetry properties of circles: equal chords are equidistant from the centre, the perpendicular bisector of a chord passes through the centre, and tangents from an external point are equal in length.

Nazarin Darasi

Barka da kammala darasi akan Circle Theorems II. Yanzu da kuka bincika mahimman raayoyi da raayoyi, 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.

Two tangents from an external point P are: A. perpendicular B. equal in length C. parallel D. always 90° Answer: B
If PA = 7 cm is one tangent from P, the other tangent PB is: A. 3.5 cm B. 7 cm C. 14 cm D. cannot tell Answer: B
The perpendicular from the centre to a chord: A. bisects the chord B. is a tangent C. equals the radius D. is a diameter Answer: A
The perpendicular bisector of a chord passes through: A. the midpoint only B. a tangent point C. the centre D. an external point Answer: C
Equal chords in a circle are: A. parallel B. perpendicular C. equidistant from the centre D. diameters Answer: C