Geometry Honoers Chapter 12 Vocab and Steps Study Guide.
817510911 | Composition of Transformation | One trasformation followed by another | 0 | |
817510912 | Isometry | A transformation that does not change the size or shape of a figure | 1 | |
817510913 | Preimage | The original figure in a transformation | 2 | |
817510914 | Glide Reflection | A composition of a translation and reflection across a line parallel to the translation vector | 3 | |
817510915 | Composition of Function | The 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 | |
817510916 | Line Symmetry | A figure that can be reflected across a line so that the image coincides with the preimage. | 5 | |
817510917 | Line of Symmetry | A line that divides a plane figure into two congruent reflected halves | 6 | |
817510918 | Rotational Symmetry | A figure that can be rotated about a point by an angle less that 360° so that the image coincides with the preimage | 7 | |
817510919 | Regular Tessellation | A repeating pattern of congruent regular polygons that completely covers a plane with no gaps or overlaps | 8 | |
817510920 | Semiregular Tessellation | A 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 | |
817510921 | Translation | A 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 parallel | 10 | |
817510922 | Center of Dilation | The intersection of the lines that connect each point of the image with the corresponding point of the preimage. | 11 | |
817510923 | Transformation | A change in the position, size, or shape of a figure. It maps the preimage to the image. | 12 | |
817510924 | Enlargement | A dilation with a scale factor greater than 1. In this, the image is larger than the preimage. | 13 | |
817510925 | Reduction | A dilation with a scale factor greater than 0 but less than 1. In this, the image is smaller than the preimage. | 14 | |
817510926 | Steps for Rotation | 1.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 points | 15 | |
817510927 | Steps for Translation | 1. Move along vector and with the direction and magnitude. | 16 | |
817510928 | Steps for Reflection | 1. Draw points equal distance from the line. | 17 | |
817510929 | Steps for Glide Reflection | 1. Translate. 2. Reflect | 18 | |
817510930 | (x, y) to (x, -y) | Reflected across the x-axis | 19 | |
817510931 | (x, y) to (-x, y) | Reflected across the y-axis | 20 | |
817510932 | (x, y) to (y, x) | Reflected across the line y=x | 21 | |
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 origin | 25 | |
817510937 | (x, y) to (-x, -y) | Rotated 180° about the origin | 26 |