Friday, January 18, 2013

how do we define circles?

How Do We Define Circles?

Circle
A circle is the set of all points in a plane at given distance froma given point.



http://www.math.com/school/subject3/lessons/S3U1L6GL.html




-Given distance is the radius
- point is called the center

Chord
A line segment that connects two points on a circle 


http://en.wikibooks.org/wiki/Geometry/Chapter_7


Diameter
A line segment through the center with endpoints on the circle




http://openhighschoolcourses.org/mod/book/view.php?id=258&chapterid=500




Tangent
A line that touches a circle in exactly one point.



http://www.icoachmath.com/math_dictionary/Common_External_Tangent.html



-Congruent circles have the same radius
-Concentric circles have the same center

Semicircle
half a circle= 180 degrees

Minor Arch- less than 180 degrees
Major Arch- more than 180 degrees














what are the special parallelograms?



What Are The Special Parallelograms?
Rhombus
A parallelogram with four congruent sides.
http://math.tutorvista.com/geometry/quadrilaterals.html




In the example above, the diagonals bisect the angles and they also bisect each other.


Rectangle
Parallelogram with four congruent angles or an "equiangular parallelogram."


http://www.geom.uiuc.edu/~dwiggins/conj28.html

The diagonals of a rectangle are congruent and they bisect each other.

Equilateral Rectangle
Equiangular rhombus



http://quizlet.com/6547298/geometry-terms-cfh-flash-cards/


Diagonals are congruent, perpendicular and they bisect each other.