The mapping, or movement, of all the points of a figure in a plane according to a common operation.
A transformation that "flips" a figure over a mirror or reflection line.
A line that acts as a mirror in the form of a perpendicular bisector so that corresponding points are the same distance from the mirror.
A transformation that "slides" each point of a figure the same distance in the same direction.
A transformation that turns a figure about a fixed point at a given angle and a given direction.
A segment or ray that shares a common endpoint with an angle and divides the angle into two equal parts.
Bisector of a Line
In a plane, divides a line segment into two congruent segments.
Two lines that lie in the same plane and they do not intersect.
Two lines that intersect to form a right angle.
Having the same size and the same shape.
Figures that have the same size and the same shape.
A dot that has no length, width, or thickness. It is identified by a capital letter.
Has no thickness but its length goes on forever in two directions.
Goes on forever in all directions (in two-dimensions) and is "flat" (i.e., it has no thickness).
The part of a line between two points on the line. Sometimes referred to as a segment.
The point at an end of a line segment.
Point of Intersection
The point at which two or more lines intersect (cross).
A ray begins at a point and goes on forever in one direction.
Sides that have the same relative positions in geometric figures.
Angles that have the same relative positions in geometric figures.
Region between two rays or the amount of rotation about a fixed point.
Angle of rotation
The number of degrees that a figure is rotated about a fixed point.
A transformation that changes the size of an object, but not the shape.
An equation which states that two ratios are equal.
A comparison of two quantities that have the same unit of measure.
The ratio of corresponding lengths of the sides of two similar figures.
Figures that have the same shape but not necessarily the same size.
A three dimensional figure with a circular or elliptical base and one vertex.
Base of a cone
Can be a circle or an ellipse.
A cone whose axis is not perpendicular to it's base. It is tilted.
Right circular cone
A three-dimensional figure that is generated by rotating a
right triangle about one of its legs.
A plane figure obtained by slicing a solid with a plane.
A regular polyhedron whose six faces are congruent squares.
A three-dimensional object with two parallel congruent circular bases.
Base of a Cylinder
The two congruent and parallel circular regions that form the ends of the cylinder. (circles)
A cylinder with bases that are not aligned one directly above the other. It is tilted.
Right Circular Cylinder
A cylinder with circular bases that are aligned one directly above the other.
A collection of polygons joined at their edges. Each of these polygons is called a "face."
A polyhedron with two parallel and congruent faces and all other faces that are parallelograms.
Bases of a prism
The two faces formed by congruent polygons that lie in parallel planes, all of the other faces being parallelograms.
Lateral faces of a prism
A face that is not the base of the solid.
A prism whose bases are rectangles.
Right rectangular prism
A prism whose faces and bases are rectangles.
A pyramid is a polyhedron with one face (the "base") a polygon and all the other faces triangles meeting at a common point called the vertex.
Base of a Pyramid.
The face that does not intersect the other faces at the vertex. The base is a polygonal region. It's base is usually a square or rectangle.
Lateral faces of a pyramid
Faces that intersect at the vertex.
A pyramid that has its vertex aligned directly above the center of its base.
An acute angle is an angle whose measure is between 0 degrees and 89 degrees. Smaller than 90 degrees.
A triangle with three acute angles.
Angles in the same plane that have a common vertex and a common side, but no common interior points.
ASA (Angle Side Angle)
Theorem- two triangles are congruent if.... two angles and their included side of one triangle are congruent to the corresponding sides and angles of the second triangle.
Center of Rotation
The point in which a figure is rotated
Two angles whose sums measures 90 degrees.
A triangle with three equal sides.
If a figure has one half a mirror image of the other half.
An angle that measures more than 90 degrees.
An angle that measures 90 degrees.
A triangle with at least two sides having equal lengths.
a triangle with a 90 degree (right) angle
SAS (Side Angle Side)
Theorem- two triangles are congruent if.... two sides and their included angle of one triangle are congruent to the corresponding sides and angles of the second triangle.
A triangle with no equal sides.
Two lines that do not lie in the same plane (therefore, they cannot be parallel or intersect).
A straight angle is formed by a straight line and measures exactly 180 degrees.
A line that crosses two or more lines.
On a angle or a polygon the point where two sides intersect
A pair of opposite, congruent angles formed by intersecting lines.