Lesson 7.4 - Arcs and Angles (Cont.)
Mr.D's Geometry Class
     
Investigation 1
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1) What's the relationship between the difference of the two intercepted arcs and the external angle made by the secants?

2) COMPLETE AND PUT IN YOUR CONJECTURE LIST:
The measure of an angle formed by __________________________ from a point outside a circle is equal to _____________________________.
     
Investigation 2
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3) What's the relationship between the angle formed by the chord and tangent and the intercepted arc?

4) COMPLETE AND PUT IN YOUR CONJECTURE LIST:
The measure of angle formed by a chord and a tangent is _________ the measure of the intercepted arc.
     
Investigation 3
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5) What's the relationship between the two intercepted arcs and the angle made by two chords?

6) Make a conjecture about this: COMPLETE AND PUT IN YOUR CONJECTURE LIST:
The measure of an angle formed by two chords is equal to ____________________________ the measures of the intercepted arcs.
     
Investigation 4
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7) What's the relationship between the product of the two parts of one chord compared to the product of the two parts of another chord?

8) Make a conjecture about this: COMPLETE AND PUT IN YOUR CONJECTURE LIST:
When two chords intersect, the product of the segments of one chord __________________________ to the product of the segments of another chord.
     
Investigation 5
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9) When two secant segments interersdect, what's the relationship between the product of a secant segment and the part outside the circle and the product of another secant segment and its parts that's outside the circle?

10) Make a conjecture about this: COMPLETE AND PUT IN YOUR CONJECTURE LIST:
When two secan segments are drawn to a circle from an external point, the product of one segment and its external segment _____________________________________.