EMAT 6700

Defining Circles: Investigations

by Doug Westmoreland


The following figures are examples of the given term. Then there are examples that are not the given term. Look at the two sets of figures closely then see if you can come up with a definition on your own for the term.


1. Term: Diameter

segments AD, BE, and CF are diameters

segments AC, BH, EF, and DG are not diameters

 

Define diameter in your own words based on the examples above:________________________


2. Term: Chord

segments AB, CF, and DE are chords

 

segments GH, IJ, and KM are not chords

 

Define chord in your own words based on the examples above:________________________


3. Term: Secant

 

lines j, k, and l are secants

 

lines l and m, and segment BC are not secants

 

Define secant in your own words based on the examples above:________________________


4. Term: Tangent

lines j and k are tangent

line m, segment AB, and ray CD are not tangent

 

Define tangent in your own words based on the examples above:________________________


5. Term: Inscribed Angle

angles ABC and DEF are inscribed angles

angles GHI, JKL, and MNO are not inscribed angles

 

Define inscribed angles in your own words based on the examples above:_________________


6. Term: Central Angle

 

angles AEB, BEC, CED, AED, BED, and AEC are central angles

angles FGH, JIH, GHI, LGK, FGK, and FGL are not central angles

 

Define central angles in your own words based on the examples above:_________________


Figure 1

 

7. Name three chords

8. Name five central angles

9. Name one diameter

10. Name five minor arcs

11. Name five radii

12. Name two inscribed angles

13. Name two semicircles


Click here for Intermath desriptions of the following terms:

A. chord

B. diameter

C. tangent

D. inscribed angle

 


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