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| Three points that lie on the same line |
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| Points that do not lie on the same line |
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| Two or more lines are concurrent if there is exactly one point common to all of them |
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| Nonintersecting, nonparallel lines not in a common plane |
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| Common endpoint of two rays; an angle |
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| Measures between 0 and 90 degrees |
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| An angle between 90 and 180 degrees |
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| Always less than 180 degrees |
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| Always greater than 180 degrees |
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| 2 angles whose measures add up to 360 degrees |
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| Adjacent/Consecutive Angles |
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| Coplanar angles that have a common vertex and a common side and are disjoint (don't overlap) |
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| 2 angles whose measures add up to 180 degrees |
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| 2 angles whose measures add up to 90 degrees |
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| 2 angles with the same measure |
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| Pairs of nonadjacent angles formed by intersecting lines; are congruent |
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| Set of points that can be drawn without lifting the pencil |
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| A curve where no points overlap other points of the circle (except possibly the endpoints) |
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| Drawn by starting and stopping at the same point |
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| The union of a simple closed curve with its interior |
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| If a line segment joining any 2 points in the region is itself also in the region |
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| From the center of the circle to a point on one of its sides |
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| A line in the plane of the circle that contains exactly one point of the circle (intersects the circle in exactly one point) |
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| A line in the plane of the circle line that intersects the circle and is NOT tangent to the circle |
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| The segment of a secant joining the 2 points of intersection with the cirlce |
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| A chord that contains the center of the circle (twice the length of the radius) |
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| A simple closed curve that is the union of 3 or more coplanar, distinct line segments (called the sides) (the endpoints of the line segments are called Vertices) |
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| The line segments joining nonadjacent vertices |
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| A simple, convex closed curve with all sides of equal length and all angles of equal measure |
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| Have the same size and shape |
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| A complete covering of a plane by shapes in a repeating pattern, without gaps or overlap |
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| Central Angle of a Polygon |
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| An angle whose vertex is the center of the polygon and whose sides go through adjacent vertices of the polygon |
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| Instead of being in a plane is in a space. Has no holes, and separates space into 3 disjoint sets of points--the interior, the exterior, and the surface itself |
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| The union of the surface and its interior |
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| A simple closed in space whose boundary is composed of polygonal regions, called the faces of the polyhedron |
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| A polyhedron formed by 2 congruent polygonal regions in parallel planes, along with 3 or more regions bounded by parallelograms joining the 2 polygons to form a closed surface. The polygonal regions are called the bases, the parallelograms are called the lateral faces. The parallel edges joining the bases are called lateral edges. |
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| A prism whose lateral faces are rectangles and whose planes containing the lateral faces are perpendicular to the planes containing the bases. If a prism is not a right prism, it is an Oblique prism. |
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| A polyhedron formed by a simple closed polygonal region (the base), a point not in the plane of the region (the apex), and the triangular regions joining the point and the sides of the polygon. |
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| A pyramid whose base is a regular polygon and whose lateral faces are all congruent triangles |
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| The perpendicular segment from the apex to the base of a pyramid (or cone) |
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| If the faces of a convex polyhedron are congruent regular polygonal regions, and if each vertex is the intersection of the same number of edges, the polyhedron is regular. |
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| Let V= the number of vertices, E= the number of edges, and F= the number of faces of any polyhedron. V + F - E = 2 |
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| The union of 2 noncoplanar half planes and the line of intersection (the line forming the common edge) |
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| The set of all points in space at a given distance from a fixed point. Center = the fixed point. Radius = a line segment from the center to any point on the surface of the sphere. |
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| Is formed by 2 congruent regions (the bases) bounded by simple closed plane curves in parallel planes, connected by a lateral surface that rises from one base to the other. The bases of a circular cylinder are 2 congruent circles. The lateral surface of a right cylinder is perpendicular to its base. |
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| Formed by the union of a simple closed curve (the base) and a lateral surface that slopes to a single point called the vertex or apex of the cone. The base of a circular cone is the circle. The vertex of a right circular cone is directly above the center of the base. |
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| A line of reflection through a figure. It maps half of the image onto the other half. This is also called reflection (plane) symmetry. |
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| Has a central point of symmetry. If a figure has a rotational symmetry, we can rotate the figure less than a full turn about that point and have the original figure in the original position. |
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| The amount of space occupied by an object |
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| The amount that can be contained by an object |
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| The measure of the quantity of matter |
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| The measure of how heavy something is. Caused by the force of gravity pulling down upon an object. |
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| 1 centimeter = ?? millimeters |
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| 1 tablespoon = ?? teaspoons |
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| The perimeter of a circle. C=2 pi r |
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| The perpendicular segment from any vertex to a line that contains the opposite side |
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