# data[].attributes.body
In Euclidean geometry, a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other instead of being adjacent.

# data[].attributes.body
In mathematics, "symmetry" has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling

# data[].attributes.body
Rigid Motion: Any way of moving all the points in the plane such that. a) the relative distance between points stays the same and. b) the relative position of the points stays the same. There are four types of rigid motions that we will consider: translation , rotation, reflection, and glide reflection.

# data[].attributes.body
n geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other

# data[].attributes.body
either of the angles of a triangle that have one side in common with the base.

# data[].attributes.body
one of a pair of angles with different vertices and on opposite sides of a transversal at its intersection with two other lines: a : one of a pair of angles inside the two intersected lines. — called also alternate interior angle. b : one of a pair of angles outside the two intersected lines.

# data[].attributes.body
n mathematics, a rigid transformation is a geometric transformation of a Euclidean space that preserves the Euclidean distance between every pair of points. The rigid transformations include rotations, translations, reflections, or their combination.

# data[].attributes.body
Rotation in mathematics is a concept originating in geometry. Any rotation is a motion of a certain space that preserves at least one point. It can describe, for example, the motion of a rigid body around a fixed point.

# data[].attributes.body
a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.

# data[].attributes.body
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

# data[].attributes.body
to occupy the same place in space, the same point or period in time, or the same relative position

# data[].attributes.body
In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

# data[].attributes.body
in geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case

# data[].attributes.body
In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing whether two other lines in the Euclidean plane are parallel.

# data[].attributes.body
In mathematics, a dilation is a function from a metric space into itself that satisfies the identity for all points, where is the distance from to and is some positive real number. In Euclidean space, such a dilation is a similarity of the space. Dilations change the size but not the shape of an object or figure

# data[].attributes.body
In mathematics, a reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis or plane of reflection. The image of a figure by a reflection is its mirror image in the axis or plane of reflection.

# data[].attributes.body
a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).

# data[].attributes.body
Congruence statements express the fact that two figures have the same size and shape.

# data[].attributes.body
In geometry, a vertex angle is an angle associated with a vertex of an n-dimensional polytope. Often a vertex angle of a polygon is referred to simply as an angle of the polygon.

# data[].attributes.body
the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

# data[].attributes.body
A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of the first line segment

# data[].attributes.body
movement of a body from one point of space to another such that every point of the body moves in the same direction and over the same distance, without any rotation, reflection, or change in size.

# data[].attributes.body
a process by which one figure, expression, or function is converted into another that is equivalent in some important respect but is differently expressed or represented.