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How can rigid transformations be used to prove congruency?
Rigid transformations, such as translations, reflections, and rotations, preserve the length, angle measures, and parallelism of geometric figures. By applying a combination of these transformations to two given figures, if the transformed figures coincide, then the original figures are congruent. This is because if two figures can be superimposed perfectly using rigid transformations, then their corresponding sides and angles have the same measures, establishing congruency.
What effects do rigid transformations have on geometric figures?
They can alter the location or orientation of the figures but do not affect their shape or size.
How do you find a sequence of rigid motions for quadrilaterals?
The answer depends on the quadrilateral. Some have rotational symmetry or reflective symmetry and it is not possible to distinguish between these and translations.
What is rigid or semi-rigid?
Rigid is immovable, unbending. Semi-rigid can move in a limited way.
Are quadrilaterals rigid?
no they are not rigid.
