Question

What is the image of G for a dilation with center (0, 0) and a scale factor of 1?

(1, -3)

(-1, 3)

(-1, -3)

(1, 3)

Answer 1

Option 1st is correct

(1, -3)

Explanation:

The rule of dilation with center (0, 0) and a scale factor k is given by:

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

As per the statement:

From the given diagram:

Coordinate of G is: (1, -3)

We have to find image of G for a dilation with center (0, 0) and a scale factor of 1.

Scale factor(k) = 1

Apply the rule on G, to find G'

`G(1, -3) \rightarrow (1 \cdot 1, 1 \cdot -3)=G'(1, -3)`

Therefore, the image of G for a dilation with center (0, 0) and a scale factor of 1 is, (1, -3)

Answer 2

If the scale factor is 1, the image G' is the same as the original pont G. It is
(1, -3)