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Terms and Vocabulary : (Reference sheet to copy or print!) 1....

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Terms and Vocabulary : (Reference sheet to copy or print!) 1....

Terms and Vocabulary: (Reference sheet to copy or print!)

1. Circle: The set of all points in a plane that are equidistant from a fixed point called the center. 

2. Radius: A segment whose endpoints are the center of a circle and a point on the circle. (Note: All radii of the same circle are congruent).

3. Chord: A segment whose endpoints are 2 points on a circle. 

4. Secant: A line that intersects a circle in two points 

5. Diameter: A chord that passes through the center of a Circle. 

6. Tangent: A line that intersects a circle in exactly one point.

Concentric Circles: Circles with the same center

8. Congruent Circles: have congruent radii. 

9. A polygon is inscribed in a circle if its sides are chords of the circle. 

10.   A polygon is circumscribed about a circle if its sides are tangent to the circle. 

11. A minor arc has a measure that is less than 180o . We name a minor with 2 letters. 

12. A major arc has a measure that is greater than 180o . We name a major arc with 3 letters. 

13. A semicircle is an arc whose endpoints are the endpoints of a diameter. It has a measure of 180o. We name a semicircle with 3 letters. 

14. Central Angle: An angle whose vertex is the center of a circle.

The measure of a central angle is equal to the measure of its intercepted arc. 

15. Inscribed Angle: An angle whose vertex is a point on a circle and whose sides contain chords. The measure of an inscribed angle is half of the measure of its intercepted arc.

A. Stop and Think Questions    Your work should be based on the lesson content. (.5 pt. each)

 

Use the Reference sheet above to answer the following about the figure below.

 

1. Name the diameter.  Explain how you know.

2. Name all radii.   Explain how you know.

Use the Reference sheet above to answer the following about the figure below.  Show work as it is done in Exs. 1 and 2 above.

 

3. Radius OB has a length of 12.  How long is diameter AB?   Explain how you know.

4. Minor arc BC measures 30o.  What is the measure of ∠BOC?   Explain how you know

 

 

 

 

B. Answer the following questions.   Show work as it is done in Exs. 1-4.  Round your answer to the nearest tenth, if necessary. (1pt each)

 

5.  Look at the figure given below.  If CD = 5 cm, what is the value of CE?  Explain.

 

6.  Find the measure of ∠BAC. Explain.  (The figure is not drawn to scale.)

 

 

C   Solve for x.  Show work as it is done in Exs. 1-4.  Round your answer to the nearest tenth, if necessary. (1pt each)

 

7.  Show work to earn full credit!

8.  Show work to earn full credit!

9.  Hint:  Review III in lesson content.

Show work to earn full credit!

 

D.  Apply Your Knowledge  (3 pts)

10.    An Amtrak locomotive (similar to the one pictured below)   has 12 wheels on each side to support it on the track.  The International Union of Railways has defined a standard wheel radius of 457.2 mm, although smaller sizes are used in some rapid transit railway systems.  How long is the wheel bed of one locomotive?  Show your work and include units of measurement. 

 

Answer & Explanation

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Answered by Chandan721436 on coursehero.com

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