For the dilation with center​ (0,0) shown on the​ graph, your friend says the scale factor is

. What is the correct scale​ factor? What mistake did your friend likely​ make?

For the dilation with center 00 shown on the graph your friend says the scale factor is What is the correct scale factor What mistake did your friend likely mak class=

Respuesta :

Answer:

5/7

Step-by-step explanation:

read the graph

Answer:

Step-by-step explanation:

From the given figure:

Coordinates of Pre-image triangle ABC are:

A (0, 5), B(-5, 0) and C(5, -5)

and

Coordinate of image triangle A'B'C' are;

A'(0, 2), B'(-2, 0) and C'(2, -2)

The rule of dilation with scale factor k and centered at the origin is given by;

(x,y) ---> (kx,ky)

To find k;

A'(0, 2) = A'(0, 5k)

Comparing both sides we get;

5k = 2

k=2/5

Therefore, the correct scale factor is 2/5

He did mistakes in transformations i.e a huge mistake mathematically.