Additionally, their congruence can be determined through the use of rigid motions. How do you use rigid motions to verify congruence?Ī method used to determine whether two segments or angles are congruent is to find and compare their measures. Sequence of rigid motions will map one triangle to another. If the triangles are congruent, you can use a sequence of translations, reflections, and rotations to map one triangle onto the other. What are three rigid motions that can be used to prove triangle congruence? This means that congruent figures will have corresponding angles and sides that are the same measure and length. Recall that rigid transformations preserve distance and angles. Why can a sequence of rigid transformations result in congruent figures? Side-Angle-Side (SAS) Congruence Theorem If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. But they might not keep the same coordinates or relationships to lines outside the figure. These transformations preserve side lengths, angle measures, perimeter, and area. Rigid transformations, like rotations and reflections, change a shape’s position but keep its size and shape. 9 Do rigid transformations preserve distance?.8.0.1 What does a rigid motion transformation preserve?.8 What is an example of a rigid transformation?.7.0.1 What is a rigid motion and why is it important?.7 What does a rigid motion transformation preserve?.6.1 What is a rigid motion and why is it important?.6 Are rigid transformations similar or congruent?.5.1 Is congruence a term used with rigid motion?.5 Which rigid motion could be used to prove alternate interior angles are congruent?.4 What rigid motion is represented with the congruent triangles?.
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