chapter 1 defenitions

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hayden144  on August 25, 2010

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geomerty definitions

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chapter 1 defenitions

udefined terms
A basic figure that is not defined in terms of other figures. athe undefined terms in geometry are point, line, and plane.
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Definitions

udefined terms A basic figure that is not defined in terms of other figures. athe undefined terms in geometry are point, line, and plane.
point Names a location and has no size. It is reresented by a dot.
line A straight path that has no thickness and extends forever.
plane A flat surface that has no thickness and extends forever.
collinear points that lie on the same line.
coplanar points that lie on the same plane.
segment the part of a line that consisting of two points and all points between them.
endpoint A point at one end of a segment or the starting point of a ray.
ray a part of a line that starts at an end point and extends forever in one direction.
opposite rays two rays that have a common endpoint and form a line.
postulate A statement that is accepted as truewithout proof.
coordinate a point correspond to one and only one number on the ruler.
distance The distance betwen any two points is the absolute value of the difference of the coordinates.
length The distance between a and b is also called length.
congruent segments are segments that have the same length.
construction a way of creating a figure that is more precise.
between two points a and c all three of the points must lie on the same line.
midpoint is the point that bisects the segment into two congruent segments.
bisect divides
segment bisector any ray,segment, or line that intersects a segment at the midpoint.
angle a figure formed by two rays with a common endpoint.
vertex a common endpoint.
interior of an angle the set of all points between the sides of the angle.
exterior of an angle the set of all points outside the angle.
measure an angle usually given in degrees
degree a degree is a certain amount like a right angle is 90°.
acute angle an angle less that 90°
right angle a 90° angle
obtuse angle an angle bigger than 90°
straight angle a 180°angle
congruent angles angles that have tthe same measurment
angle bisector a ray that divides an angle into two congruent angles.
adjacent angles two angles in the same plane with a common vertex and a common side but no common interior pouints.
linear point angles is a pair of adjacent angles whose noncommon sides are opposite rays.
complementary angles two angles whoose sum is 90°
supplementary angles two angles whoose sum is 180°
vertical angles two non adjacent angles formed by two intersecting lines
perimeter the sum of the side lengths of the figure.
area the number of nonoverlapping square units of a given size that exactly cover the figure.
base any side of a triangle
height a segment from a vertex that forms a right angle with a line contaning the base.
diameter a segment that passes through the center of a circle .
radius half of the diameter.
circumference the distance around the circle.
pi 3.141592653589793434
coordinate plane a plane that is divided into four reregions by horizontallines.
legs the sides that form a right angle.
hypotenuse the right anngle that stretches
transformation a change int position size or shape of a figure.
preimage original figure.
image resulting figure.
reflection flip
rotation turn
translation slide

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