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| the operation that moves the preimage onto the image |
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| a transformation where every image is congruent to its preimage |
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| a transformation in a plane that preserves lengths or every segment is congruent to its image |
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a line M is a transformation that maps every point Q in the plane to a point Q', so that the following properties are true:
1. if Q is not on M, then m is the perpendicular bisector of line QQ'
2. if Q is on line M, then Q= Q' |
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| a point O through x degrees is a transformation that maps every point P in the plane to a point P', so that the following properties are true:
1. if P is not point O, then PO= P'O and m |
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a vector AA', is a transformation that maps every point P in the plane to a point P', so that the following properties are true:
1. PP'= AA'
2 line PP' is parallel to line AA' or line PP' is collinear with line AA' |
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if the units are the same
a to b
a:b
a/b |
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| an equation that equates to ratios |
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| two polygons are similar if their corresponding angles are congruent and the lengths of corresponding sides are proportional. the symbol ~ means "is similar to" |
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| the common ratio between two similar figures |
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| at least two sides congruent |
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| a set of three positive integers that fit into the Pythagorean theorm |
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| a ration of the lengths of two sides of a right triangle |
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| a basic trigonometric ratio (abbreviation as sin) |
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| a basic trigonometric ratio (abbreviation as cos) |
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| a basic trigonometric ratio (abbreviation as tan) |
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| a set of all points in a plane that are equidistant from a given point |
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| center of a circle is a given point |
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| the points inside the circle |
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| the points outside the circle |
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| a segment whose endpoints are on the circle |
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| a chord that passes through the center |
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| a segment that has the center as one endpoint and a point of the circle as the other endpoint |
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| a line that intersects a circle at exactly one point |
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| the point at which a tangent intersects a circle |
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| a line that intersects a circle at two points |
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| a line that is tangent to two circles |
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| a common tangent that does not intersect the line segment that joins the centers of the two circles |
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| a common tangent that intersects the segment that joins the centers of the two circles |
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| circles that have the same center |
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| circles that have congruent radii or congruent diameters |
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| a circle is inscribed in a polygon if each side of the polygon is tangent to the circle |
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| a circle is circumscribed about a polygon if each vertex of the polygon lies on the circle |
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| an angle whose vertex is the center of the circle |
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| if the measure of the central angle of the arc is less than 180 degrees |
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| if the endpoints of the arc are the endpoints of the diameter |
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| if the measure of the central angle of the arc measures greater than the 180 degrees |
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| an angle that is produced by the intersection on the circle by two chords |
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| the arc that lies in the interior of an inscribed angle |
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with radius r and center (h,k)
(x-h)^2 + (y-k)^2= r^2 |
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| the sum of the lengths of its sides |
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the length multiplied by the width
measured in square units |
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| the distance between the center of a polygon and a side |
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| the distance around the circle |
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| the region bound by two radii of a circle and their intercepted arc |
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| a solid that is bound by polygons |
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| polygon sides of a polyhedron |
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| a line segment formed by the intersection of two faces |
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| a point where three or more edges meet |
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| all points on the faces of a polyhedron |
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| if any two points on its surface can be connected b a line segment that lies entirely inside the polyhedron |
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| a polyhedron that has all of its faces congruent |
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| a regular polyhedron with 4 faces |
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| a regular polyhedron with 6 faces |
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| a regular polyhedron with 8 faces |
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| a regular polyhedron with 12 faces |
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| a regular polyhedron with 20 faces |
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| a polyhedron that has two parallel, congruent faces called bases and lateral faces |
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| each lateral edge is perpendicular to both bases |
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| a prism that have lateral edges that are oblique |
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| length of the oblique lateral edges |
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| the sum of the areas of its faces |
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| circular cylinder (cylinder) |
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| a solid with congruent circular bases that lie in parallel planes |
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| the area of its curved lateral surface |
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| if the segment joining the centers of the two bases is perpendicular to the bases |
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| a polyhedron in which the base is a polygon and the lateral faces are triangles that have a common vertex |
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| the intersection of the base and a lateral face |
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| parallelograms that are formed by connecting corresponding vertices of the bases |
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| the segments connecting the corresponding vertices of the bases |
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| a pyramid a base that is a regular polygon and the segment from the vertex to the center of the base is perpendicular to the base |
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| a solid that has a circular base and a vertex that is not in the same plane as the base. the lateral surface of all segments that connect the vertex with points on the edge of the base. |
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| a cone in which the vertex lies directly above the center of the base |
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the base multiplied by the height
measured in cubic units |
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| the set of all points in space that are a given distance from the center |
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| if a plane intersects a sphere and goes through the center of the sphere |
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| a half of a sphere, divided by the great circle, that has a congruent pair to make up a sphere |
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in a plane, the set of all points that satisfy a given condition or a set of given conditions
plural= loci |
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| the intersection of loci by two or more conditions |
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the intersection of a plane and a sphere
possible to intersect in one point, a great circle, and a circle with a radius less than that of the sphere |
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| the cross sections that result when a plane intersects a double napped right cone; a circle, an ellipse, a parabola, or a hyperbola |
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| the locus of all points (x,y) such that the sum of the distances between (x,y) and two distinct points, the focuses or foci, is a constant |
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