![]() In Non-Rigid Transformation, the size will change, but the preimage shape will remain the same. In a rigid transformation, the shape and size of the preimage don't change at all. The definition of a transformation falls under two different categories. Geometric transformations, in general, involve taking a preimage and transforming that later into some form of a new image. In geometry, transformed figures are those figures that have been moved from their original position on the coordinate system. Things to Consider When Drawing Transformations ![]() Quiz 2 - This quiz hones in on the rotation around the origin.Quiz 1 - This focuses on the use of glides.We move shapes and points all over the graph again. Practice 3 - Graph the image of ABCD after the following glide reflection: Translation (x, y) -> (x+9, y).Practice 2 - Which image shows a reflection of this shape?.Practice 1 - Graph the image of B (35, -7) after a rotation 180° counterclockwise around the origin.Some of these will take you a good bit of time to size up. The image of a point (x,y) reflected across the xaxis is (x, y). Homework 3 - A glide reflection is the composition of a translation followed by a reflection across a line parallel to the direction of the translation.A translation slides the figure to a different location. A rotation turns the figure around a point. Homework 2 - A reflection flips the figure over a line to create a mirror image.It looks like the diagram below if we are rotating about the origin. The rotation will turn the point 1/4 of a full turn in the clockwise direction. Homework 1 - A rotation turns a figure around a fixed point.We get a bit extreme with translating points all across the coordinate plane. Answer Keys - These are for all the unlocked materials above.Matching Worksheet - What would the coordinates be if this happened to it?.It has 6 pages and really requires that much room. Practice Worksheet - Sorry, this is one of my bigger packs.Guided Lesson Explanation - Most of these problems require you to act like a witness to a crime.Guided Lesson - Where is the translation and reflection?.Point Translating Step-by-step Lesson - Move a point 90 degrees counter clockwise.So the image (that is, point B) is the point (1/25, 232/25). So the intersection of the two lines is the point C(51/50, 457/50). Now we need to find the intersection of the lines y = 7x + 2 and y = (-1/7)x + 65/7 by solving this system of equations. So the equation of this line is y = (-1/7)x + 65/7. So the desired line has an equation of the form y = (-1/7)x + b. Since the line y = 7x + 2 has slope 7, the desired line (that is, line AB) has slope -1/7 as well as passing through (2,9). So we first find the equation of the line through (2,9) that is perpendicular to the line y = 7x + 2. Then, using the fact that C is the midpoint of segment AB, we can finally determine point B.Įxample: suppose we want to reflect the point A(2,9) about the line k with equation y = 7x + 2. Then we can algebraically find point C, which is the intersection of these two lines. So we can first find the equation of the line through point A that is perpendicular to line k. ![]() Note that line AB must be perpendicular to line k, and C must be the midpoint of segment AB (from the definition of a reflection). Let A be the point to be reflected, let k be the line about which the point is reflected, let B represent the desired point (image), and let C represent the intersection of line k and line AB.
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