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Geometry vocab ch. 1

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Zoey Carter

on 24 September 2012

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Transcript of Geometry vocab ch. 1

Undefined terms A location that has neither shape nor size Point Ex: made up of points and has not thickness of width, there is exactly one line through any two points Line Ex: a flat surface made up of points that extends infinitely in all directions. There is exactly one plane through any three points not on the same line Plane Ex: A B A B C K Ex: 1-1 Vocabulary Collinear Points that lie on the same line A B points A and B are collinear Ex: Coplanar points that lie on the same plane A B C K Points A,B,and C are coplanar on plane K Ex: Intersection the set of points two intersecting geometric figures or lines have in common L M A Line L and M intersect at point A Chapter 1 geometry vocabulary a boundless , three-dimensional set of all points, space can contain lines and planes Space Ex: D E A B C K 1-2 vocabulary A line that can be measured with the distance formula because it has two end points Line Segment Ex: A B Points that are between other points and points that are not Betweenness of a point Ex: A B C Point B is between point A and C, while point D is not Between D The point in between two other points Ex: A B C Point B is beetween A and C Segments that have the same measure Congruent Segments Ex: 10yds 10yds A B C D Segment AB and segment CD are congruent segments Methods of creating geometric figures without measuring tools Constructions Ex: 1-3 vocabulary Useing the bottom of a cup to make circle the length of a segment with those points as it's endpoints Distance Ex: A B (-4,-6) (5,-1) The distance between point A and B would be figured out by useing the distance formula Midpoint the point halfway between the endpoints Ex: A M B X1 X2 X1+X2 2 Any segment line or plane that intersects a segment Segment Bisector Ex: A B K C Ex: 1-4 vocabulary part of a line, it has one end point and extends endlessly in one direction Ray Ex: A B Opposite Rays a point on a line that determines exactly two rays A B C Ray BA and ray BC are opposite rays, opposite rays are collinear Angle formed by two noncollinear rays that have a common endpoint Ex: A B C The rays of an angle side Ex: 3 3 A B C This is a side, side BA The common endpoint of an angle Vertex Ex: B 3 B is the vertex of angle 3 The inside of the angle Interior Ex: A B C Q R Points Q and R are on the interior of the angle Exterior The points outside the angle Ex: A B C D Point D is exterior of the angle Degrees The unit angles are measured in Ex: 90 degrees, 80 degrees, 180 degrees are all mesaures on an angle and can be found witha protractor A 90 degree angle Right Angle Ex: This symbol means 90 degrees When the angle adds up to 90 degrees Acute Angle Ex: Obstuse Angle An Angle that adds up to 180 degrees Ex: A ray that divides and angle into two congruent angles Angle bisector Ex: X Y Z W 80 80 1-5 vocabulary Adjacent angles two angles that lie on the same plane and have a common vertex and a common side but no common interior points Ex: 1 2 Angle 1 and 2 are adjacent Linear pair A pair of adjacent angles with noncommon sides that are opposite rays Ex: 1 2 Vertical Angles two nonadjacent angles formed by two intersecting lines Ex: 1 2 3 4 Angle's that have measures that have a sum of 90 degrees Complementary Angles Ex: 1 2 two angles with measures that add up to 180 Supplementary Angles Ex: 3 4 Lines, segments, or rays thar form 90 degree angles Perpendicular Ex: A B C D 1-6 vocabulary a closed figure formed by a finite number of coplanar segments Polygon Ex: A B C D E F The vertex of each angle in the polygon Vertex of the polygon Vertex If points lie on the interior of the polygon Concave Ex: Some of the lines pass thorough the interior Concave When no points lie on the interior of the polygon Ex: No points like on the interior A polygon with N sides, Polygons are usually classified by their number of sides. N-gon Ex: This would be a 3-gon....or a TRIangle A polygon which all sides are congruent Equilateral Polygon Ex: 10cm 10cm `10cm A polygon which all angles are congruent Equiangular Polygon Ex: All angles in this quadrilatleral are 90 degrees A polygon that is both eqilateral and equiangular Regular Polygon Ex: A B C D E A Perimeter the sum of all the lengths and sides of the polygon Ex: 10cm 10cm 10cm 10cm the perimeter is 40cm The distance around the circle Circumfrence Ex: The outer edge is the circumfrence Area The number of square units needed to cover a surface 2cm 2cm The area is 4 Polyhedron A solid with all flat surfaces that enclose a single region of space A pyramid is a polyhedron Ex: Face Each flat surface is a polygon Face Ex: Edges The segements wher the faces intersect Edge Ex: Vertex The point where three or more edges intersect Ex: Vertex Prism A polyhedron with two parralel congruent faces Pyramid A polyhedron that has at least polygonal base and three or more triangular faces that meet at a common vertex Ex: This is a pyramid Cylinder A solid with congruent parallel circular bases connected by a curved surface Ex: This is a cylinder Cone A solid with a circular base connected by a curved surface to a single vertex Sphere A set of points in a space that are the same distance from a given point Ex: Regular Polyhedron A polyhedron is a regular polyhedron if all of its faces are regular congruent polygons and all the edges are congruent Ex: Platonic Solids There are five types of regular polyhedrons called platonic solids because Plato used them extensively Ex: Orthographic Drawing The two-dementinal veiws of the top, left, front, and right sides of an object
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