Week of 10/31/2016

Geometry

Circles and Chords

A chord is a segment that joins two points of the circle. A diameter is a chord that contains the center of the circle.

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 10.31.2016-11.4.2016 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/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/v/constructing-scale-drawings

Tuesday
It is the day to look at the conversion with height and weight of the students
Help:http://www.metric-conversions.org/length/feet-to-inches.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!