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33 Cards in this Set

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In a plane, 2 congruent figures can be mapped onto one another by a composition of at most 3 reflections.
Theorem 3-3
A composition of reflections in 2 intersecting lines is a rotation.
Theorom 3-2
The only 4 isometries are...
reflection, translation, rotation, and glide reflection.
A composition of reflections in 2 parallel lines is a translation.
Theorem 3-1
There are only 4 isometries. They are reflection, translation, rotation, and glide reflection.
Theorom 3-4
Isometry Classification Theorem
an isometry that does not change orientation is a...
rotation
A translation is an isometry that does not change...
orientation
A change made to the position, shape, or size of a figure is a...
Transformation
A composition of reflections in 2 parallel lines is a...
translations
An isometry is a transformation in which the original figure and its image are...
congruent
An isometry that changes a figure's orientation is a...
reflection
A figure has symmetry if...
there is an isometry that means the figure onto itself.
A transformation that moves points the same distance and in the same direction is a...
translation
Every triangle and quadrilateral ___________.
tessellates
A composition of reflections in 2 intersecting lines is a...
rotation
A dilation maps figures to...
similar figures
A plane figure has reflectional symmetry, or line symmetry if...
there is a line in which the figure is reflected onto itself.
Tessellations can have many kids of symmetries, including...
trnslational symmetry and glide reflectional symmetry.
If a plane figure can be mapped onto itself by a rotation of 180 defrees, it has...
point symmetry
A figure has rotational symmetry if...
there is a rotation of 180 degrees or less that maps the figure onto itself.
A repeating pattern of figures that completely covers a plane without gaps or overlaps is a...
tessellation or a tiling
What maps the tessellation onto itself?
A glide reflection and a translation
You can use scalar multiplication to find the image of a figure under a dilation centered at the orgin in...
the coordinate plane.
The dilation is an enlargement when...
the scale factor is greater than 1.
A similarity transformation is a...
dilation
The dilation is a reduction when...
the scale factor is less than 1.
An entry is...
each item in a matrix
An enlargement is...
the image is larger than the original figure.
Composition is...
any 2 transformations in which the second transformation is performed on the image of the first transformation.
A reflection reverses orientation. A reflection is an isometry.
Properties of a Reflection
A rotation is an isometry. A rotation does not change orientation.
Properties of a Rotation
A translation is an isometry. A translation does not change orientation.
Properties of a Translation
A design that repeats itself along a straight line is a...
frieze pattern