Question

What scale factor is shown by this graph?

Answer 1

Answer:

The correct option is 2. The scale factor is 2.

Step-by-step explanation:

The coordinates of preimage are A(1,2), T(0,0), K(4,1) and L(3,2).

The coordinates of image are A'(2,4), T'(0,0), K'(8,2) and L'(6,4).

If a figure dilated by scale factor k with center at origin then the rule of dilation is

$(x,y)\rightarrow (kx,ky)$

$A(1,2)\rightarrow A'(2,4)$

$k=\frac{\text{x coordinate of image}}{\text{x coordinate of preimage}}$

$k=\frac{2}{1}$

$k=2$

Therefore the scale factor is 2 and the correct option is 2.

Answer 2

the scale factor is 2.

because

if you look at the length AL in the smaller shape, it is 2 squares.

now if you look at the length AL in the enlarged shape, it is 4 squares.

to find the scale factor, do 4 ÷ 2 which is 2.

therefore the scale factor is 2