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Q: What property of rigid transformations is exclusive to translations?
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Why reflections translations and rotation are rigid motion s?

Reflections, translations, and rotations are considered rigid motions because they preserve the size and shape of the original figure. These transformations do not distort the object in any way, maintaining the distances between points and angles within the figure. As a result, the object's properties such as perimeter, area, and angles remain unchanged after undergoing these transformations.


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.


Is rigid a property of gold?

No, rigid is not a property of gold.


What is isometries rigid transformations?

I think "isometries" and "rigid transformation" are two different names for the same thing. Look for "isometry" on wikipedia.


Which sequence of rigid transformations will map the preimage ΔABC onto image ΔABC?

The identity transformation.


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 are things that don't bend?

An object which does not bend is said to be rigid.


What property do liquids and gases have that solids do not have?

Solid is rigid. It could roll. But liquid and gas are fluids. It means that they are capable of flowing.


What does rigidity mean?

The property by which solids maintain their shape when subjected to external forces is called rigidity. Sold is more rigid than any other state of matter. The other states of matter which are not rigid have the property of fluidity.


During the Antebellum period this region did not have rigid class distinctions almost all white men could vote and own property?

The West!!


Is your weight a property of mechanical equilibrium?

Your weight is the gravitational attraction force between you and the Earth and not a property of mechanical equilibrium. Mechanical equilibrium is a state in which a momentum coordinate of a particle, rigid body, or dynamical system is conserved.