Match the items on the right to the items on the left.

STEP 1

STEP 2

STEP 3

STEP 4

Let the two circle intersect at a point X and Y , XY is the common chord.

Suppose A is a point on their common chord and AM and AN be the tangent drawn from A to the circle

AM is the tangent and AXY is a secant.

Therefore, from equations (i) and (ii), we get,

AM = AN.