Question

Is the new shape congruent to the original shape ? Why or why not ?

Answer 1

Given:

The original shape has coordinates (x,y).

The applied transformation to obtain the new shape is,

`(x,y)\rightarrow(2x,2y+3)`

To determine whether the new shape congruent to the original shape or not:

As we know,

The dilation can be described in coordinate notation as,

`x,y\to\mleft(nx,ny\mright)`

Where n is the scale factor.

So, the scale factor of the new graph is 2 and translated 3 units upward direction.

Therefore, the new shape is not congruent with the original shape. Because the shape was dilated and translated.

Hence, the correct option is B.