Circle Theorems

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Question 2

10%

A geometric diagram showing a circle with center O. A horizontal line SMT is tangent to the circle at point M. Points K and L are on the circle. Line segments MK, ML, and OL are drawn. A line segment KL is also drawn. There are single tick marks on segments KL and LM, indicating they are equal in length. The angle SMK is labeled as y degrees.

$K$ , $L\,$ and $M\,$ are points on a circle, centre $O$ . $SMT\,$ is a tangent to the circle at $M$ .

$K L = L M$ Angle $y^\circ$

Find the size of angle $O M L$ , in terms of $y$ . Give reasons for each stage of your working.

[5]

Circle Theorems

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47

Question 2

10%

A geometric diagram showing a circle with center O. A horizontal line SMT is tangent to the circle at point M. Points K and L are on the circle. Line segments MK, ML, and OL are drawn. A line segment KL is also drawn. There are single tick marks on segments KL and LM, indicating they are equal in length. The angle SMK is labeled as y degrees.

$K$ , $L\,$ and $M\,$ are points on a circle, centre $O$ . $SMT\,$ is a tangent to the circle at $M$ .

$K L = L M$ Angle $y^\circ$

Find the size of angle $O M L$ , in terms of $y$ . Give reasons for each stage of your working.

[5]

Circle Theorems

Question 2

Circle Theorems Questions

Circle Theorems

Question 2

Circle Theorems Questions