##### chapter 1

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1

undefined term ex; point, line, plane

2

point a location, has neither size or shape

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line made up of points and has no thickness or width

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plane a flat surface made up of points that extends indefinitely in all directions

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collinear points that lie on the same line

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coplanar points that lie on the same plane

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intersection The set of points they have in common, two lines intersect at one point

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definition

explained using undefined terms and/or other defined terms

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defined term

explained using undefined terms and/or other defined terms

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space defined as boundless

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line segment a straight line which links two points without extending beyond them

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betweenness of points a point is between two other points on the same line

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between in a space separating two objects

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congruent segments segments that have the same measure

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construction methods of creating geometric figures without the benefit of measuring tools

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distance the length of the segment with those points as its endpoints

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midpoint the point halfway between the endpoints of the segment

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segment bisector any segment, line or plane that intersects a segment at its midpoint

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ray a part of a line

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opposite rays two rays with a common endpoint that point in opposite directions and form a straight line.

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angle formed by two noncollinear rays that have a common endpoint

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side the rays

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vertex the common endpoint

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interior the space inside of an angle

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exterior the space outside of an angle

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degree a measurement of plane angle; 1/360

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right angle an angle whose measure is exactly 90°

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acute angle an angle whose measure is less than 90°

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obtuse angle an angle whose measure is greater than 90° and less than 180°

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angle bisector a ray that divides an angle into two congruent angles

31 two angles that lie in the same plane and have a common vertex and a common side, but no common interior points

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linear pair a pair of adjacent angles with no common sides that are opposite rays

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vertical angles two adjacent angles formed by two intersecting lines

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complementary angles two angles with measures that have a sum of 90

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supplementary angles two angles with measures that have a sum of 180

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perpendicular lines, segments, rays that form right angles