We rotate a polygon about a point by first rotating all of its vertices. Let’s say we have the following rotation of a point □ centered at □. ![]() ![]() In particular, we rotate each point around a circle centered at the center of the rotation. The rotation and the amount of the rotation. To start this, let’s consider exactly what rotation is. We will focus on rotating objects about a point. We can find a mirror image of the object (reflection), and we can also rotate the object about a point (rotation). There are many different transformations that do not affect the size or shape of an object we can slide the object around, changing its position (translation), In particular, if we can show that two objectsĭiffer by one or more of these transformations, then we can conclude they are congruent. We can also ask, “What transformation can we apply to an object that does not affect its size or shape?” If a transformation does notĪffect these properties, then we can apply the transformation to any object to construct a congruent object. ![]() Often, this involves comparing the properties of two of these objects, but this is not the only way of studying congruence. This means that we want to find methods ofĬhecking the congruence of these objects. In geometry, we often use the congruence of shapes, angles, and line segments to prove results. In this explainer, we will learn how to rotate points, line segments, and shapes about given points.
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