Which Rigid Transformation Would Map Abc To Edc

Rigid transformations are a type of geometric transformation composed of rotations, translations, and reflections. In this article, we will discuss which rigid transformation would map ABC to EDC.

Rigid Transformations

A rigid transformation, also known as an isometry, is a transformation that preserves distances and angles between points. In other words, any shape that undergoes a rigid transformation will have the same area and perimeter as the original shape. Some examples of rigid transformations include translations, rotations, reflections, and glide reflections.

Which Rigid Transformation Would Map ABC to EDC?

The answer to this question depends on the coordinates of each point. Let's assume that the coordinates of the points ABC are (0,0), (1,0), and (2,0) and the coordinates of the points EDC are (1,1), (2,2), and (3,3). To map ABC to EDC, we can use the following rigid transformations:

Translation

A translation is a rigid transformation that moves each point in a shape by the same distance and in the same direction. To map ABC to EDC using a translation, we can move each point one unit up and one unit to the right:

ABC	EDC
(0,0)	(1,1)
(1,0)	(2,2)
(2,0)	(3,3)

Rotation

A rotation is a rigid transformation that turns each point in a shape around a fixed point. To map ABC to EDC using a rotation, we can rotate each point around the origin (0,0) by an angle of 60°:

ABC	EDC
(0,0)	(1,1)
(1,0)	(2,2)
(2,0)	(3,3)

Reflection

A reflection is a rigid transformation that flips each point in a shape over a line. To map ABC to EDC using a reflection, we can reflect each point over the line y = x:

ABC	EDC
(0,0)	(1,1)
(1,0)	(2,2)
(2,0)	(3,3)

Conclusion

In this article, we discussed which rigid transformation would map ABC to EDC. We found that translations, rotations, and reflections are all valid transformations that could be used to map ABC to EDC.

People Also Ask:

What is a rigid transformation? Rigid transformations are a type of geometric transformation composed of rotations, translations, and reflections that preserve distances and angles between points. What is the difference between a rigid transformation and a non-rigid transformation? A rigid transformation preserves distances and angles between points while a non-rigid transformation does not. What is a translation? A translation is a rigid transformation that moves each point in a shape by the same distance and in the same direction.