Circles and Chords

Theorems: 
1.2. 3.  In a circle, a radius perpendicular to a chord bisects the chord.In a circle, a radius that bisects a chord is perpendicular to the chord. In a circle, the perpendicular bisector of a chord passes through the center of the circle. 
Proof of Theorem 1:
Statements  Reasons  
1.  1.  Given  
2.  2.  Two points determine exactly one line.  
3.  3.  Perpendicular lines meet to form right angles.  
4.  4.  A right triangle contains one right angle.  
5.  5.  Radii in a circle are congruent.  
6.  6.  Reflexive Property  A segment is congruent to itself.  
7.  7.  HL  If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.  
8.  8.  CPCTC  Corresponding parts of congruent triangles are congruent.  
9.  E is the midpoint of  9.  Midpoint of a line segment is the point on that line segment that divides the segment two congruent segments. 
10.  10.  Bisector of a line segment is any line (or subset of a line) that intersects the segment at its midpoint. 
Theorem: 
In a circle, or congruent circles, congruent chords are equidistant from the center.
(converse) In a circle, or congruent circles, chords equidistant from the center are congruent.

Theorem: 
In a circle, or congruent circles, congruent chords have congruent arcs.(converse) In a circle, or congruent circles, congruent arcs have congruent chords.  ; 
Theorem: 
In a circle, parallel chords intercept congruent arcs. 
http://www.regentsprep.org/regents/math/geometry/gp14/circlechords.htm
Week of 10.31.201611.4.2016 College Readiness Math
Tutoring: Wednesday morning and Friday afternoon
Assessment: Quiz late in the week
No homework all week!
Monday
Happy Halloween1
Today, we finish up the questions with the scale drawing and look at other conversion problems.
Help:https://www.khanacademy.org/math/ccseventhgrademath/cc7thgeometry/cc7thscaledrawings/v/constructingscaledrawings
Tuesday
It is the day to look at the conversion with height and weight of the students
Help:http://www.metricconversions.org/length/feettoinches.htm
Wednesday
The day to look at area, surface area and volume of figures and a review for the unit.
Help:http://www.math.com/tables/geometry/surfareas.htm
Thursday
A prefinal exam assessment, you do not study for this assessment. We continue with volume today
Help:http://www.math.com/tables/geometry/volumes.htm
Friday
A little quiz to wrap up the measurement unit is today, I will run a quiz preview before the quiz.
Help: ( check any previous websites for the unit)
Have a great weekend!
Assessment: Quiz late in the week
No homework all week!
Monday
Happy Halloween1
Today, we finish up the questions with the scale drawing and look at other conversion problems.
Help:https://www.khanacademy.org/math/ccseventhgrademath/cc7thgeometry/cc7thscaledrawings/v/constructingscaledrawings
Tuesday
It is the day to look at the conversion with height and weight of the students
Help:http://www.metricconversions.org/length/feettoinches.htm
Wednesday
The day to look at area, surface area and volume of figures and a review for the unit.
Help:http://www.math.com/tables/geometry/surfareas.htm
Thursday
A prefinal exam assessment, you do not study for this assessment. We continue with volume today
Help:http://www.math.com/tables/geometry/volumes.htm
Friday
A little quiz to wrap up the measurement unit is today, I will run a quiz preview before the quiz.
Help: ( check any previous websites for the unit)
Have a great weekend!