TEST Tomorrow!
Test Specs:
26 questions
100 % Application
HINT:
There are 5 problems in which you will have to use algebraic factoring to solve. So, if you have trouble with factoring – practice!!
Check your answers to the Practice Workbook assignment from the Homework page at….
http://www.shelbyed.k12.al.us/schools/omhs/faculty/sculbreth/hmwrk.htm
I’ll check the GeoBlog @ 8:30 and 10:00 tonight.
So, post your questions/problems and I’ll respond.
I’ll be available @ 7:00 Friday morning in the classroom.
STUDY!
Mrs. C
Hey. The theorems really aren’t that hard. The theorems we learned in class are great study tools and easy to comprehend. Here’s the first one:
1.
Relationship
a=1/2 b
2a=b
b/a=2
Theorem
**Radius equals is half of the diameter.
2.
Relationship
c=d
arcYZ=arcWX
Theorem
**Congruent chords form congruent arcs.
3.
Relationship
SR perpendicular to TU
e=f
arcSU=arcUR
arcST=arcRT
Theorem
**If a chord is perpendicular to a diameter, then the diameter bisects the chord and its arc.
4.
Relationship
c=d
segmentNO=segmentQP
Theorem
**Congruent chords are equidistant from the center of the circle.
Hope this helps.
~George~
Cirlce- the set of all points in a plane equidistance from a given point, the center
Chord- a segment with endpoints on a circle
Diameter- a chord that runs through the center of the a circle
Radius- segment with one endpoint on the circle and the other on the center
Circumference- distance around a circle
Circumference=Pi(diameter)
c=Πd
c=2Πr
![Visual aid]()
Two Chords
When angles are formed by two chords, they have a special relationship with the arcs that they intercept. The measures of the two vertical angles are equal to half the sum of the measures of the two intercepted arcs.
Example: angls. 3 & 4 = 1/2 ( arc MA + arc TH)
Theorem: ** Interior angles formed by two chords equal half the sum of the intercepted arcs.
Two Secants
When angles are formed by two secants (extended chords), they also have a special relationship with the arcs they intercept. The exterior angle formed by the intersection is equal to half the difference between the intercepted arcs.
Example: ang. 1 = 1/2 ( arc CH – arc EM)
Theorem: **Exterior angles formed by two secants equals half the distance of the intercepted arcs.
Secant & Tangent
Exterior angles formed by a secant and a tangent also have special relationships with their intercepted arcs. The measure of the angle equals half the difference of the intercepted arcs.
Theorem: **Exterior angles formed by a secant and a tangent equal half the difference of the intercepted arcs.
Chord & Tangent
An angle formed by a chord and a tangent to the point of tangecy shares this relationship with its intercepted arc: the formed angle is equal to half the measure of the intercepted arc.
Theorem: **Angles formed by a tangent and a secant to the point of tangency are half the measure of the intercepted arc.
Two Tangents
Finally, and angle that is formed by the intersection of two tangents shares this relationship with its intercpeted arcs: the measure of the exterior angle equals half the difference of the intercepted arcs.
Theorem: **Exterior angles formed by two tangents equal half the difference of the intercepted arcs.
NOTE: I inserted pictures for the first two theorems, but when I attempted to upload the rest of the pictures all that happened was it showed the file name in the Browse tab. I don’t know what happened and it is really frustrating me. I would spend more time trying to figure it out but I have TaeKwanDo and an English essay to write. Sorry!
By Rodrigo M
TEST Tomorrow!
Test Specs:
Definitions 16 pts
Circumference 9 pts
Applicaions of Theorem 75 pts
(finding arc / angle measurements)
Check your answers to the review assignment from the Homework page at….
http://www.shelbyed.k12.al.us/schools/omhs/faculty/sculbreth/hmwrk.htm
I’ll check the GeoBlog @ 8:30 and 10:00 tonight.
So, post your questions/problems and I’ll respond.
I’ll be available @ 7:00 Wednesday morning in the classroom.
STUDY!
Mrs. C
Please take a few minutes to reply…..Your responses will help me to improve GeoBlogs! I want this to be the best possible tool to help YOU in Honors Geometry!!
I’m proud of those who bravely scribed – some blogging for the first time!! I hope to avoid the technical difficulties we experienced by allowing you to actually post this Nine Weeks and not just “reply”.
What do you think about GeoBlogs???
Did blogging help facilitate your learning during the 3rd Nine Weeks?
When you were the scribe, did it affect your focus in class?
What is the BEST thing about blogging for academics?
What is the WORST thing about blogging for academics?
How would you change GeoBlog to make it better?
(Let’s suspend the “first name/last initial” rule for this post. You may just be Student or Anonymous. I want you to be honest!! It won’t hurt my feelings – You all know that high school teachers don’t have feeling!!) 
Thanks!
Mrs. C
TEST Tomorrow!
Test Specs:
Matching w/ definitions & pictures 22 pts
Apply Euler’s Law 12 pts
Platonic Solids 18 pts
Polygon Chart 33 pts
Apply perimeter / angle measures 15 pts
Your review sheet today listed the formulas that you need to know….KNOW your formulas!!
I’ll check the GeoBlog @ 8:30 and 10:00 tonight.
So, post your questions/problems and I’ll respond.
I’ll be available @ 7:00 Wednesday morning in the classroom.
STUDY!
Mrs. C
Date: 3/10/06
Objective: Derive and apply Euler’s Law.
Date: 3/10/06
Objective: Define and describe characteristics of the five Platonic Solids.
