a circle at exactly one point.","back":"A tangent touches a circle at exactly one point.","points":null},{"id":"bd4db5d2-b6e8-4a8f-a05d-b0e14442dc37","cardType":"basic","front":"What fact lets you mark OA and OB equal when O is the centre and A and B lie on the circle?","back":"All radii in the same circle are equal.","points":1},{"id":"c8544509-594f-4059-bd92-599d52200139","cardType":"basic","front":"If two sides of a triangle are radii of the same circle, what type of triangle is it?","back":"An isosceles triangle.","points":1},{"id":"df737084-0fd8-4491-b68a-a85e4519ab59","cardType":"basic","front":"In triangle AOB, OA=OB and ∠ABO=42°. What is ∠OAB?","back":"42°.","points":1},{"id":"12774d9a-b013-4292-affe-5b7e63353cc5","cardType":"basic","front":"In triangle AOB, the base angles are 42° and 42°. What is ∠AOB?","back":"96°.","points":1},{"id":"d2a7a6e7-0390-4b69-97f3-9ac6d0af2490","cardType":"cloze","front":"A tangent to a circle is [ ] to the radius at the point of contact.","back":"A tangent to a circle is perpendicular to the radius at the point of contact.","points":null},{"id":"e7652849-c435-4894-b2ab-b0d6c5128e54","cardType":"basic","front":"A tangent touches the circle at A and OA is a radius. What is the angle between OA and the tangent?","back":"90°.","points":1},{"id":"74bead92-0e50-4d77-9745-fa72d491cf99","cardType":"basic","front":"A tangent touches the circle at A. Which radius makes the 90° angle with the tangent?","back":"The radius to the point of contact.","points":1},{"id":"0e969bcb-bb48-4955-b24a-44fc02c7eb7d","cardType":"cloze","front":"If two angles stand on the same chord or arc, the angle at the centre is [ ] the angle at the circumference.","back":"If two angles stand on the same chord or arc, the angle at the centre is twice the angle at the circumference.","points":null},{"id":"75a37713-2862-46ea-b221-9767026aad56","cardType":"basic","front":"∠BOC at the centre is 74°. ∠BAC at the circumference stands on the same chord BC. What is ∠BAC?","back":"37°.","points":1},{"id":"7cae1293-8000-4c9c-af5a-762696fe03ac","cardType":"basic","front":"A reflex centre angle is 220°. What is the smaller centre angle?","back":"360° - 220° = 140°.","points":1},{"id":"922c9075-f9d3-4f6e-9c79-4f6b3cc5c768","cardType":"cloze","front":"Angles in the [ ] are equal.","back":"Angles in the same segment are equal.","points":null},{"id":"d31c367d-005a-4ee7-951e-1aa88bb22c59","cardType":"basic","front":"Angles ADB and ACB both stand on chord AB in the same segment. If ∠ADB=47°, what is ∠ACB?","back":"47°.","points":1},{"id":"d34bccca-25bc-4c00-b899-ac75595772d2","cardType":"cloze","front":"Opposite angles in a cyclic quadrilateral add to [ ].","back":"Opposite angles in a cyclic quadrilateral add to 180°.","points":null},{"id":"32d7507a-a548-4c6d-a09c-fb3ce8d71a33","cardType":"basic","front":"ABCD is cyclic and ∠ADC=78°. What is the opposite angle ∠ABC?","back":"102°.","points":1},{"id":"7b507ce2-e0a4-4cbf-aee3-568c2856a598","cardType":"cloze","front":"The [ ] links a tangent-chord angle to the angle in the opposite segment.","back":"The alternate segment theorem links a tangent-chord angle to the angle in the opposite segment.","points":null},{"id":"dae0dc6f-be6c-47e9-9c53-d79f83543f4d","cardType":"basic","front":"In triangle ABC, ∠ABC=58° and ∠ACB=71°. What is ∠BAC?","back":"51°.","points":1},{"id":"608ff36d-9f97-4f3a-a4f9-0551e643bbef","cardType":"basic","front":"At C, a tangent a

Circle Theorems Flashcards

Circle Theorems Flashcards

Circle Theorems Flashcards

Circle Theorems Flashcards