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Geometry Chapter 12 Study Guide Flashcards

Geometry Honoers Chapter 12 Vocab and Steps Study Guide.

Terms : Hide Images
817510911Composition of TransformationOne trasformation followed by another0
817510912IsometryA transformation that does not change the size or shape of a figure1
817510913PreimageThe original figure in a transformation2
817510914Glide ReflectionA composition of a translation and reflection across a line parallel to the translation vector3
817510915Composition of FunctionThe composition of functions f and g, written as (f•g)(x) and defined as f(g(x)) uses the output of g(x) as the input for f(x)4
817510916Line SymmetryA figure that can be reflected across a line so that the image coincides with the preimage.5
817510917Line of SymmetryA line that divides a plane figure into two congruent reflected halves6
817510918Rotational SymmetryA figure that can be rotated about a point by an angle less that 360° so that the image coincides with the preimage7
817510919Regular TessellationA repeating pattern of congruent regular polygons that completely covers a plane with no gaps or overlaps8
817510920Semiregular TessellationA repeating pattern formed by two or more regular polygons in which the same number of each polygon occur in the same order at every vertex and completely cover a plane with no gaps or overlaps.9
817510921TranslationA transformation in which all the points of a figure move the same distance in the same direction; the figure is moved along a vector so that all of the segments joining a poing and its image are congruent and parallel10
817510922Center of DilationThe intersection of the lines that connect each point of the image with the corresponding point of the preimage.11
817510923TransformationA change in the position, size, or shape of a figure. It maps the preimage to the image.12
817510924EnlargementA dilation with a scale factor greater than 1. In this, the image is larger than the preimage.13
817510925ReductionA dilation with a scale factor greater than 0 but less than 1. In this, the image is smaller than the preimage.14
817510926Steps for Rotation1.Draw lines from vertices to center. 2. Duplicate angle along lines. 3. Measure distance from center to angle measures 4. Put measures on the new angle measurement lines (duplicate new lines) 5. Connect points15
817510927Steps for Translation1. Move along vector and with the direction and magnitude.16
817510928Steps for Reflection1. Draw points equal distance from the line.17
817510929Steps for Glide Reflection1. Translate. 2. Reflect18
817510930(x, y) to (x, -y)Reflected across the x-axis19
817510931(x, y) to (-x, y)Reflected across the y-axis20
817510932(x, y) to (y, x)Reflected across the line y=x21
817510933(x, y) to (x+a, y)Horizontal Translation along the vector (a, 0)22
817510934(x, y) to (x, y+b)Vertical Translation along the vector (0, b)23
817510935(x, y) to (x+a, y+b)General Translation along the vector (a, b)24
817510936(x, y) to (-y, x)Rotated 90° about the origin25
817510937(x, y) to (-x, -y)Rotated 180° about the origin26

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