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

Is The New Shape Congruent To The Original Shape Why Or Why Not class=

Sagot :

Given:

The original shape has coordinates (x,y).

The applied transformation to obtain the new shape is,

[tex](x,y)\rightarrow(2x,2y+3)[/tex]

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,

[tex]x,y\to\mleft(nx,ny\mright)[/tex]

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.

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