Question

Which of the following are congruence transformation? Check all that apply

Answer 1

The correct answer to this question is:

A-"Rotation"
D-"Reflecting"
E-"Translating"

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Answer 2

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