Thursday, March 26, 2009

>>Today we started class reviewing some concepts we learned yesterday:

Chord - segment whose endpoints are on the circle. The greatest chord is the diameter.

Central Angle - angle whose vertex is circle's center, and forms major and minor arcs.


Measure of arc - measure of central angle (degrees)
Length of arc - central angle divided by 360 times circumference
Miss Saatkamp also taught us the difference between a point on the circle, a point in the circle and a point outside the circle.

A is center
B is ON the circle
C is IN the circle
D is OUTSIDE the circle

--------------------

After that, we corrected homework.

---------------------
Today we also learned new theorems and a new concept.

-Theorem 9-1:


if: chord BC is congruent to chord DE (green lines)


then: Arc BC is congruent to DE (pink lines)






*Inscribed Polygons - Polygons whose vertices are ON the circle (ex: Polygon BCDE)




-Theorem 9-2:


if: BC is a diameter; DE is a chord; BC is perpendicular to DE

then: Chord DE and arc DE are bisected



*Extention: With radii the theorem works the same way.

-Theorem 9-3:

if: BC and DE are chords; BC and DE are equidistant from the center (meaning AG is congruent to AF)

then: BC is congruent to DE

------------------------------

At the end we got our homework, which is only due MONDAY - Page 462 #13-27 all + 32-34

DON'T FORGET!! Projects are due NEXT WEEK!!!

No comments:

Post a Comment

Note: Only a member of this blog may post a comment.

Blog Archive