Question 1158190
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(1) For each of the points, the distance from the origin is sqrt(65).<br>
(2) Angles A and D are congruent because they both cut off arc BC; angles B and C are congruent because they both cut off arc AD.  Two pairs of congruent angles makes the triangles similar.<br>
(3) The lengths of corresponding sides AB and CD are 14 and sqrt(130), so the ratio of similarity is 14:sqrt(130).<br>
(4) KA*KC = KB*KD by the theorem about the lengths of the pieces of two intersecting chords.  Or you can prove it using the two similar triangles.<br>