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Home > GC > Chapter 10 > Lesson 10.3.1 > Problem 10-93

10-93.

For each diagram below, write an equation to represent the relationship between .  

  1. Decreasing Transversal line crosses 2 increasing parallel lines, with angles labeled as follows: upper intersection, interior right, x, bottom intersection, interior left, y.

    If two lines cut by transversal are parallel, what are some of the relationships between the angles?

  1. Circle with central angle, labeled, Y, and inscribed angle, labeled, X, intercept the same arc.

    What is the relationship between central and inscribed angles?

  1. Two chords intersect inside a circle, with the parts of the chords, labeled, relative to the intersection, as follows: top left, 3, bottom left, x, top right, 5, bottom right, y.

    Use the vertical angles created by the chords to form two similar triangles. How can this help you?

  1. 4 chords of a circle, form an inscribed quadrilateral, with one vertex angle labeled, x, and the vertex angle across, labeled, y.

    What is the relationship between an inscribed angle to its intercepted arc? How can this help you?

    Recall that the measure of an inscribed angle is half the measure of the arc it intercepts.