.","back":"A straight line joining two points on the circumference is a chord.","points":null},{"id":"69e98e2c-577f-47d3-92ad-af79d559e498","cardType":"basic","front":"Why is triangle AOB isosceles when A and B lie on a circle centred at O?","back":"OA and OB are equal radii.","points":2},{"id":"bdaa3311-3800-4e7f-a09d-22f64fb7cfc7","cardType":"cloze","front":"A [ ] touches a circle at exactly one point.","back":"A tangent touches a circle at exactly one point.","points":null},{"id":"63807be2-1d32-49bd-aaa3-0a98c3f45498","cardType":"basic","front":"A radius meets a tangent at its point of contact. What angle is formed?","back":"90°.","points":1},{"id":"4bfa077a-3dad-4f86-aae5-bce688f83dfe","cardType":"cloze","front":"The tangent-radius right angle is between the tangent and the [ ].","back":"The tangent-radius right angle is between the tangent and the radius to the point of contact.","points":null},{"id":"cd22d671-f680-4b14-8761-b0c0d7d39e21","cardType":"basic","front":"OA = 5 cm. AC is a 12 cm tangent at A. O, B and C are in a straight line, with B on the circle. Find BC.","back":"BC = 8 cm.","points":2},{"id":"7cccaa9c-861c-4998-a416-4ef684843e76","cardType":"basic","front":"If AB and AC are tangents from the same external point A, how do AB and AC compare?","back":"AB and AC are equal.","points":1},{"id":"799ad1be-d9b7-49de-8aa6-c2093bcbed3a","cardType":"basic","front":"AB and AC are tangents to a circle centred at O, touching at B and C. If ∠BAC = 40°, find ∠BOC.","back":"∠BOC = 140°.","points":2},{"id":"7fad8d0d-4d05-4636-8ba5-3379febc8d7f","cardType":"basic","front":"If a centre angle and circumference angle stand on the same chord or arc, how are they related?","back":"The centre angle is twice the circumference angle.","points":1},{"id":"bbfbdd1c-649c-4627-be4d-68992c81a34b","cardType":"basic","front":"∠BOC = 66° at the centre. ∠BAC stands on the same chord BC at the circumference. Find ∠BAC.","back":"∠BAC = 33°.","points":2},{"id":"f52c2424-2963-4f4e-8163-7d498cb2d534","cardType":"basic","front":"A circumference angle is 118°. Its matching centre angle is reflex. Find the smaller centre angle.","back":"124°.","points":2},{"id":"5e817ebe-1d2b-4e04-ad72-07fb187af317","cardType":"cloze","front":"A segment is the part of a circle cut off by a [ ].","back":"A segment is the part of a circle cut off by a chord.","points":null},{"id":"109b8e6e-69b1-4e3d-92e2-dd783d3de320","cardType":"basic","front":"Two angles stand on the same chord and are on the same side of that chord. What can you conclude?","back":"The angles are equal.","points":1},{"id":"fcb79174-fc38-4065-8d30-58342bb2ccbe","cardType":"cloze","front":"A quadrilateral is cyclic when all four vertices lie on the [ ].","back":"A quadrilateral is cyclic when all four vertices lie on the circumference.","points":null},{"id":"3151ed7c-b38f-41a6-919c-d05ac321077b","cardType":"basic","front":"In a cyclic quadrilateral, what do opposite angles add to?","back":"180°.","points":1},{"id":"d8a693bf-256e-4b56-b109-cc021bd9a0f8","cardType":"basic","front":"In cyclic quadrilateral ABCD, ∠ADC = 83°. Find ∠ABC.","back":"∠ABC = 97°.","points":2},{"id":"31c15429-5eb2-449c-b3e4-f076fc403347","cardType":"basic","front":"A tangent makes an angle with a chord. Which circle angle is equal to it?","back":"The angle in the opposite segment.","points":1},{"id":"ed3e7224-2a91-4f6c-96ff-190f8ada1b0e","cardType":"basic","front":"A, B and C lie on a circle. A tangent touches at C. If ∠ABC = 61° and ∠ACB = 73°, find the angle between the t

Circle Theorems Flashcards

Circle Theorems Flashcards

Circle Theorems Flashcards

Circle Theorems Flashcards