![]() But points, lines, and shapes can be rotates by any point (not just the origin)! When that happens, we need to use our protractor and/or knowledge of rotations to help us find the answer. A translation is a transformation that moves every point in a figure the same distance in the same direction. ![]() The rotation rules above only apply to those being rotated about the origin (the point (0,0)) on the coordinate plane. Rotations can be achieved by performing two composite reflections over intersecting lines. This concept teaches students to compose transformations and how to represent the composition of transformations as a rule. ![]() If we compare our coordinate point for triangle ABC before and after the rotation we can see a pattern, check it out below: Study with Quizlet and memorize flashcards containing terms like transformations, reflection, line of reflection and more. In a rotation, the orientation of the preimage is changed. A directed segment representing a quantity that has both magnitude, or length, and direction. In a translation, the preimage and image have the same orientation. To derive our rotation rules, we can take a look at our first example, when we rotated triangle ABC 90º counterclockwise about the origin. A transformation that moves all points of a figure the same distance in the same direction. Rotation Rules: Where did these rules come from? Step 2: Extend the line segment in the same direction and by the same measure. Since the reflection line is perfectly horizontal, a line perpendicular to it would be perfectly vertical. Yes, it’s memorizing but if you need more options check out numbers 1 and 2 above! Step 1: Extend a perpendicular line segment from A to the reflection line and measure it.
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