Circle Theorem's Flash Cards

Question	Answer
Image: 200916ab-bcb9-4f50-830d-3407b5a1f095 (image/png)	Arrow Theorem: 'the angle subtended from the circumference is half the angle subtended from the centre'
Describe this theorem. There are two! Image: 6a7f7e8e-a0aa-4def-aa21-fc8021862fa0 (image/png)	1. where the radius and tangent meet, the angle is always 90 degrees. (Angles A and C) 2. two tangents drawn from the same point are the same length (point B)
describe the 'bow tie' theory Image: 379465c6-7d2b-4f0e-9c78-1880b30b8bef (image/png)	angles subtended from the circumference sharing the same arc are equal (or) angles in the same segment are equal
in an exam, what would you say to describe the cyclical quadrilateral theory. Image: c6d046c0-ecf4-448c-ae8d-0cf0886bc5dd (image/png)	opposite angles in a cyclical quadrilateral are supplementary (they add to 180 e.g. a+c=180 and b+d=180)
describe the circle Image: 3c866955-fbd4-42ed-b5d7-b908a6d1941b (image/png)	the angle subtended on the diameter of a circle is always a right-angle (E=90 degrees). the line from the centre that meets the centre of the chord always meets at 90 degrees (angle M)
what would you say in an exam about the alternate segment theory Image: 21506f19-302b-473c-ab51-140dafb07837 (image/png)	Alternate segment theory (angle at the tangent line is the same at the angle opposite)

Resource summary

	Created by jennykahodi almost 10 years ago