Name: Higher Unit 16 topic test Date:Time: 50 minutes Total marks available: 45 Total marks achieved: Questions Q1.B and C are points on the circumference of a circle, centre O. AB and AC are tangents.
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What are the theorems of circle?
Circle Theorems Formulas TheoremsFormulaAngles subtended by equal chords∠XOY = ∠SOTCyclic quadrilateral theorem∠A + ∠C = 1800 and ∠B + ∠D = 1800Tangent of a circle theorem-1∠OPA = ∠OPB = 900Tangent of a circle theorem-2PA = PB∠POA = ∠POB∠OPA = ∠OPB5 more rows
What are the 8 theorems of a circle?
What are circle theorems? Alternate segment circle theorem. Angle at the centre circle theorem. Angles in the same segment circle theorem. Angle in a semi circle theorem. Chord circle theorem. Tangent circle theorem. Cyclic quadrilateral circle theorem.
What are the circle theorems?
Circle theorems are properties that show relationships between angles within the geometry of a circle. We can use these theorems along with prior knowledge of other angle properties to calculate missing angles, without the use of a protractor.
What are the seven circle theorems?
Draw an initial circle, and arrange six circles tangent to it such that they touch both the original circle and their two neighbors. Then the three lines joining opposite points of tangency are concurrent in a point.
What are the 4 main circle theorems?
Circle theorems: where do they come from? The angle at the centre is twice the angle at the circumference. The angle in a semicircle is a right angle. Angles in the same segment are equal. Opposite angles in a cyclic quadrilateral sum to 180°
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