Is there a series of rigid transformations that could map triangle QRS to triangle ABC if so which transformations could be used?.

Respuesta :

The transformations that could be used is option D) ΔQRS can be translated so that Q is mapped to A and then reflected across the line containing QS.

A geometric transformation known as a stiff transformation of a Euclidean space maintains the Euclidean distance between each pair of points. Stiff transformations include rotations, translations, reflections, or any combination of these. A rotation is known as a rigid transformation or isometry when the image and the pre-image are of the same size and shape. Despite the fact that the figures may be in different positions, an object's size, form, and rotation are all the same. These are the two different categories of transformations: The rigid transition does not change the size or shape of the preimage. The preimage's size but not its shape will change as a result of the non-rigid transformation.

Note that the full question is:

Is there a series of rigid transformations that could map ΔQRS to ΔABC? If so, which transformations could be used?

A No, ΔQRS and ΔABC are congruent but ΔQRS cannot be mapped to ΔABC using a series rigid transformations.

B No, ΔQRS and ΔABC are not congruent.  

C Yes, ΔQRS can be translated so that R is mapped to B and then rotated so that S is mapped to C.

D Yes, ΔQRS can be translated so that Q is mapped to A and then reflected across the line containing QS.

To learn more about transformation: https://brainly.com/question/2689696

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