Identify a sequence of transformation that maps triangle ABC onto triangle A"B"C" in the image below.
A clockwise 90 rotation;enlargement
B counterclockwise 90 rotation; reduction
C counterclockwise 90 rotation; enlargement
D clockwise 90 rotation; reduction

Identify a sequence of transformation that maps triangle ABC onto triangle ABC in the image below A clockwise 90 rotationenlargement B counterclockwise 90 rotat class=

Respuesta :

I'd go with: D. clockwise 90 rotation; reduction 

(Hope I helped :D

Answer:

C counterclockwise 90 rotation; enlargement

Step-by-step explanation:

From the photo, we can see that triangle A"B"C" is the product of triangle ABC  after the transformation.

Please have a look at point C on line y-axis and after that it lies on x-axis. So we have possible reasons:

1. rotated either counterclockwise 90°

2. rotated clockwise 270°.

The rule is: [tex](x,y)\rightarrow (-y,x)[/tex]

The corresponding sides of image A"B"C" are bigger than the preimage ABC.  

[tex]k=\frac{A"B"}{AB}=\frac{6}{2}=3 > 0[/tex]

Because k >0, the transformation shows the enlargement

So we choose option C counterclockwise 90 rotation; enlargement