Circle theorems

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A W Q J Q P C J T B R Q L B K X W J X O P
M L N L X L Q H S T S A C E V R X R I L X
C D K R Y T L W T B A O Y N Y X X Q X Q T
H X F D N K N S K A C E C V A R E K J E G
Q P W I T C S V C E Q S L G K W F N E T X
X U O X Y P S B S U N Q I W D O V A K H W
R P K B M D P E A H R I C S X Y N M E U K
C Y F M C B V L C M P X Q M L O Q T M K P
N Q L T P K K U G F V J U D T V P X S P C
Y O C X H Y F U I X V C A Y A J R G X T C
W R A H N Y P F J J A E D C N S U A A Y R
O I D C V S S H E I C X R P G F Q E L H G
O C Q F H H T C T C Y Y I M E B W W T M I
H I L G W K C A E J Y J L H N R V C E Q N
L T X H K Y E M B Q V Y A V T S L S R A V
T W I C E V S H N D C C T V V B L C N F A
D R Q U E S I U F F H O E V O B Q X A P N
L R O T H P B B J F L V R U N R F M T W M
M O O D G Y I O E T O S A G U T D F E O H
Q W L V Y I W D Q G D C L V W F G O J N O
X O X I V T E O B O P A Y B V C A E N A I

Clues

  • ________ segment theorem (9)
  • Angles in the same segment are _____ (5)
  • Opposite angles in a ____________ add up to 180 degrees (6, 13)
  • Tangents from a ______ outside the circle are equal in length (5)
  • The angle at the centre is ____ times as big as the angle at the circumference (5)
  • The angle between the ______ and the radius is 90 degrees (7)
  • The perpendicular from the center to the chord _____ the chord (7)

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