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    Review circle relationships as you answer the questions below.

  1. On your paper, draw a diagram of with . If and the length of the radius of is , what is the length of chord ?

    What do you notice about and ?

    How can trigonometry help you solve for ?

  2. Now draw a diagram of a circle with two chords, and , that intersect at point . If , , and , what is ?

    Circle with points, in order, g, F, H, E, line segments from, e, to, g, from, e, to, f, from, h, to, g, from, h, to, f. Intersection of segments, g, h, and, e, f, labeled, k. Segment, e, k, labeled 6, segment, k, f, labeled 9, Segment, k, h, labeled 3.

    Remember that intersecting chords create similar
    triangles, and that the corresponding sides of similar
    triangles have equal ratios.