Transformation involves moving a shape away from its original position or changing the size of the shape.
The transformations that guarantee the congruence of [tex]\triangle CAT[/tex] and [tex]\triangle DOG[/tex] are:
- A rotation, then a translation.
- A rotation, then a reflection.
- A translation, then a rotation.
- A reflection, then a translation.
For [tex]\triangle CAT[/tex] and [tex]\triangle DOG[/tex] to be congruent after transformation, the type of transformation must be a rigid transformation.
This includes: rotation, reflection and translation.
Using the above analysis, the transformations that guarantee congruence are:
- A rotation, then a translation.
- A rotation, then a reflection.
- A translation, then a rotation.
- A reflection, then a translation.
See attachment for illustration of rigid transformation
Read more about rigid transformations at:
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