circle theorems and vectors

Question 1

What is the name of these angles? (how would you explain them)

Answer 1

Alternate Segment Theory

Question 2

What is the name of these angles? (how would you explain them)

Answer 2

Angle at the center is twice that at the circumference

Question 3

What is the name of these angles? (how would you explain them)

Answer 3

Angles in the same segment are the same

Question 4

What is the name of these angles? (how would you explain them)

Answer 4

Opposite angles in a cyclic quadrelateral add to 180^o

Question 5

What is the name of these angles? (how would you explain them)

Answer 5

Triangle in circle with two sides the radius

Question 6

What is the name of these angles? (how would you explain them)

Answer 6

Z angles, describe them as ‘alternate angles’ in the exam

Question 7

What is the name of these angles? (how would you explain them)

Answer 7

F angles, call them ‘corresponding’ angles in the exam

Question 8

What is the name of these angles? (how would you explain them)

Answer 8

C angles, describe them as “supplementary” angles in the exam

Question 9

If two lines are multiples of each in vectors, eg. a + b and 2a +2b, how would you explain that they are parallel?

Answer 9

They are ‘proportional so parallel’

Question 10

If two lines are multiples of each other in vectors and cross at a point , eg. a + b and 2a +2b, how would you explain that they on a straightline?

Answer 10

They are ‘proportional so parallel’ and both go through point x