Answer with explanation:
The Meaning of "Congruence transformation" is that the image after either of any transformation, 1. Reflection,2. Rotation,3. Translation,4.and ,Dilation (Stretching and Shrinking) ,the geometrical shape should be congruent.
Now, Suppose, A triangle has gone through ,all the four transformation
→So, when you will reflect triangle through any of the line, preimage and image will be congruent, neither the shape ,nor size of the image changes.
→Similarly, when you will rotate or translate a geometrical shape,that is triangle, the Image and Preimage will be congruent.
→But, When we dilate ,a geometrical shape, if Dilation factor >1, Geometrical shape expands,that is get Stretched,and if,0< Dilation factor < 1, geometrical shape,shrinks.The two preimage and image will be Similar,not Congruent, when Dilated.
So, From the Options Provided, following are congruent transformation.
A- Rotation
D- Reflecting
E-translating
