Question

D O,K = (6, 12) → (3, 6) The scale factor is _____. 1/2 2 4

Answer 1

Answer:

The scale factor of given coordinate $\dfrac{1}{2}$

A is correct.

Step-by-step explanation:

We are given two coordinate O and K. The dilation with respect to origin.

$D_{O,K}(6,12)\rightarrow (3,6)$

For scale factor,

$(x,y)\rightarrow (ax,ay)$

a is scale factor of coordinate.

If we divide new coordinate with old coordinate to get scale factor.

$\text{ scale factor}=\dfrac{\text{x-value of new coordinate }}{\text{x-value of old coordinate}}$

$\text{ scale factor}=\dfrac{3}{6}=\dfrac{1}{2}$

Hence, The scale factor of given coordinate $\dfrac{1}{2}$