Circle Theorems II
Muhtasari
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.
Malengo
- Use the following symmetry properties of circles: equal chords are equidistant from the centre the perpendicular bisector of a chord passes through the centre tangents from an external point are equal in length.
Maelezo ya Somo
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Tathmini ya Somo
Hongera kwa kukamilisha somo la Circle Theorems II. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.
Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.
Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.
- 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
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Vitabu Vinavyopendekezwa
Fanya Mazoezi ya Maswali ya Majaribio
Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Circle Theorems II? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.
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