Question

Determine whether the sequence of mapping rules will lead to the image being congruent to the pre-image (x,y)→(x−2, y) ( x , y ) → ( x - 2 , y )

Yes, this is a reflection which doesn't change the pre-image size
No, this is a translation which will change the pre-image size
No, the preimage will be smaller
Yes, this is a translation which doesn't change the p

Answer 1

The correct option is;

Yes, this is a translation that doesn't change the preimage size

Explanation:

The given sequence of mapping rules is (x, y) → (x - 2, y)

Therefore, the x-values of the coordinates of the preimage are shifted two units left in the image, while the y-values of the coordinates of the preimage and the image are unchanged

The given transformation is equivalent to an horizontal translation, 2 units left, which is a form of rigid transformation and therefore, the image is congruent to the preimage.