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point

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a location that has neither shape nor size

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line

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made up of points and has no thickness or width

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plane

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a flat surface made up of points that extends infinitely in 4 directions

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collinear

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points that lie on the same line

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coplanar

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points that lie in the same plane

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intersection of two or more geometric figures

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the set of points that they have in common

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the intersection of two lines

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a point

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the intersection of two planes

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a line

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space

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a boundless, three-dimensional set of all points

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line segment

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a measurable portion of a line, with two endpoints

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congruent segments

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line segments that have the same measure

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congruent

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having the same size and shape

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constructions

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drawings of geometric figures created without the benefit of measuring tools, generally using only a pencil, straightedge, and compass

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midpoint of a line segment

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the point halfway between the endpoints of the segment

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segment bisector

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

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ray

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a part of a line, having one endpoint and extending indefinitely in one direction

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opposite rays

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two collinear rays sharing a common endpoint

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angle

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two noncollinear rays that have a common endpoint

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sides of an angle

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the two noncollinear rays that make up an angle

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vertex of an angle

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the common endpoint of the two rays of an angle

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degrees

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the unit of measure for angles

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right angle

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an angle that measures 90 degrees

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acute angle

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an angle that measures between 0 and 90 degrees

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obtuse angle

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an angle that measures between 90 and 180 degrees

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congruent angles

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two angles that have the same measure

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angle bisector

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a ray that divides an angle into two congruent angles

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adjacent angles

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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

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a pair of adjacent angles with noncommon sides that are opposite rays

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vertical angles

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two nonadjacent angles formed by two intersecting lines

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vertical angles are....

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congruent

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complementary angles

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two angles with measures that have a sum of 90 degrees

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supplementary angles

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two angles with measures that have a sum of 180 degrees

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the angles in a linear pair are ....

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supplementary

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lines, segments, or rays that form rights angles are...

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perpendicular

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polygon

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a closed figure formed by a finite number of coplanar segments called sides such that (1) the sides that have a common endpoint are noncollinear, and (2) each side intersects exactly two other sides at their endpoints

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vertex of a polygon

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the vertex of an angle of a polygon

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concave polygon

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a polygon that "turns inward"

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convex polygon

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a polygon that does not "turn inward"

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triangle

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polygon with 3 sides

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quadrilateral

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polygon with 4 sides

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pentagon

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polygon with 5 sides

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hexagon

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polygon with 6 sides

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heptagon

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polygon with 7 sides

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octagon

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polygon with 8 sides

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nonagon

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polygon with 9 sides

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decagon

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polygon with 10 sides

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hendecagon

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polygon with 11 sides

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dodecagon

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polygon with 12 sides

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n-gon

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a polygon with an undetermined number of sides

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equilateral polygon

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a polygon in which all sides are congruent

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equiangular polygon

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a polygon in which all angles are congruent

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regular polygon

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a polygon that is both equilateral and equiangular

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perimeter of a polygon

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the sum of the lengths of the sides

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polyhedron

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a solid with all flat surfaces that enclose a single region of space

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prism

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a polyhedron with two parallel congruent bases connected by parallelogram faces

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pyramid

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a polyhedron that has a polygonal base and three or more triangular faces that meet at a common vertex

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cylinder

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a solid with congruent parallel circular bases connected by a curved surface

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cone

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a solid with a circular base connected by a curved surface to a single vertex

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sphere

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a set of points in space that are equidistant from a given point; it has no faces, edges, or vertices

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negation of a statement

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the opposite meaning, with the opposite truth value

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compound statement

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two or more statements joined by the word "and" or "or"

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the hypothesis of an if-then statement

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the "if" phrase

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the conclusion of an if-then statement

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the "then" phrase

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Through any two points, there is exactly one _____

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line

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Through any three noncollinear points, there is exactly one ___

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plane

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A line contains at least ______ points

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two

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If two lines intersect, then their intersection is exactly one_____

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point

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If two planes intersect, then their intersection is a ______

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line

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The Midpoint theorem says that if "M" is the midpoint of line segment AB, then segment AM is congruent to _____

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segment MB

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Addition Property of Equality

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If a = b, then a + c = b + c

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Subtraction Property of Equality

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If a = b, then a - c = b - c

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Multiplication Property of Equality

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If a = b, then ac = bc

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Reflexive Property of Equality

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a = a

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Symmetric Property of Equality

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If a = b, then b = a

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Transitive Property of Equality

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If a = b and b = c, then a = c

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Parallel lines

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coplanar lines that do not intersect

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slope

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the ratio between the change in the vertical and the change in the horizontal

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According to the Triangle Angle-Sum Theorem, the sum of the measures of the angles of a triangle is ____

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180 degrees

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In two congruent polygons, all of the parts of one polygon are ______________ to the corresponding parts of the other polygon

answer

congruent