GCSE Maths: Circle Theorems

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#1
Hi everyone, I need to know the proper names for the circle theorems that will be tested in the maths GCSE exams. So I will describe what each one looks like and then hopefully you will be able to tell me the proper name.
1. The Star Trek sign
2. Bow tie
3. The right angle triangle one in which one of the lines of the triangle goes through the centre of the circle
4. the circle theorem with the tangent.
BTW I already know the cyclic quadrilateral theorem. I think we need to know these to justify how we found out an angle using one of the circle theorems. Thanks in advance
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7 years ago
#2
1. Angle at centre is 2x angle at circumference (although I much prefer your one!)
2. Angle from same arc at circumference are EQUAL
3. Angles in a semi-circle contain a 90 degree angle (I think it's that one)
4. A tangent and a radius meet at a 90 degree angle.

Hope they're the right ones!
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7 years ago
#3
1. The angle at the centre is twice the angle at the circumference subtended by the same arc
2. Angles at the circumference subtended by the same arc are equal
3. The angle at the circumference subtended by the diameter is a right angle
4. The radius meets its tangent at a right angle.

Just remember that 'subtended' means 'formed by'.
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#4
Thanks. I will definitely use the word "subtended" in the exam.
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#5
Thanks. I will definitely use subtended in the exam.
0
7 years ago
#6
Do you need just those 4? Because there are 9 circle theorems at GCSE level...
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#7
(Original post by Its_Tito)
Do you need just those 4? Because there are 9 circle theorems at GCSE level...
Yep, I know the others. Thanks anyway.
0
7 years ago
#8
this is the topic i hate most... purely for the fact that i cant remember words...
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