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