hpatss Geometry Ch 1

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mbrazo  on September 27, 2009

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hpatss Geometry Ch 1

line
a straight, continuous arrangement ofg infinitely many points
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Definitions

line a straight, continuous arrangement ofg infinitely many points
plane a flat surface that has no thickness and extends infinitely along its length and width
point represented by a dot ...it has no size, only location
collinear on the same line
coplanar on the same plane
line segment consists of two endpoints of the segment and all of the points between them that are collinear with the two points
end points the two points that define the limits of a line segment
congruent two geometric structures that have the same measure or length
midpoint a point on the segment that is the same distance from both endpoints
bisects divides the segment into two congruent segments or an angle into two congruent angles
ray begins at a point and extends in a straight line...aka a half line
angle formed by two rays that share a common endpoint called a vertex
vertex common endpoint of two rays that form an angle
measurement of an angle the smallest amount of rotation about the vertex from one ray to the other...measured in degrees
parallel lines lines in the same plane that never intersect each other
perpendicular lines lines that intersect with each other at 90 degrees
skew lines lines that are noncoplanar and also do not intersect
right angle an angle that measures 90 degrees
acute angle an angle that measures less than 90 degrees
obtuse angle an angle that measures more than 90 degrees
pair of vertical angles formed by two intersecting lines that share a vertex but no common sides
linear pair of angles two angles that share a vertex and a common side and their non-common sides form a line
complementary angles two angles whose measurements add up to 90 degrees
supplementary angles two angles whose measurements add up to 180 degrees
polygon a closed figure in a plane formed by connecting line segments endpoint to endpoint with each segment intersecting exactly two others
polygon diagonal a line segment that connects two nonconsecutive vertices
convex polygon no diagonal is outside the polygon
concave polygon at least one diagonal is outside the polygon
equilateral polygon all sides of the polygon are equal length
equiangular polygon all angles of the polygon are equal measures
reguylar polygon a polygon that is both equilateral & equiangular
right triangle a triangle that has one right angle
acute triangle a triangle that has three acute angles
obtuse triangle a triangle with one obtuse angle
scalene triangle a triangle with no congruent sides
equilateral triangle a triangle with three congruent sides
isosceles triangle a triangle with 2 congruent sides
trapezoid a quadrilateral with exactly one pair of parallel sides
kite a quadrilateral with two distinct pairs of consecutive congruent sides
parallelgram a quadrilateral with two pairs of parallel sides
rhombus an equilateral parallelogram
rectangle a parallelogram with four congruent angles
square an equilateral rectangle
circle the set of all points in a plane at a given distance from a center point in the plane
radius a segment from the center to a point on the edge of the circle
diameter a segment containing the center with endpoints on the circle
arc of a circle two points on the circle and the continuous part of the circle between the two points
semicircle an arc of a circle whose endpoints are the endpoints of a diameter
minor arc arc of a circle that is smaller than a semicircle
major arc arc of a circle that is larger than a semicircle
arc measure determined by measuring the central angle (vertex is the center point of the circle)

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