Question

3. The image of point A after a dilation of 3 is (6,15). What was the original location of point A?O (9,18)(18,45)0 (2,5)0 (3,12)

Answer 1

The image point after dilation is given below as

`A^(\prime)(6,15)`

Dilation means to increase or decrease the shape of an object

Dilation Meaning in Math. Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.

When dilating by a factor greater than 1, enlargement has taken place

When dilating by a factor less than 1, reduction has taken place

Explanation:

Dilating 3, means that the values were multiplied by 3. To find their original location, divide the x and y values of the new point by 3..

By applying the concept, we will have the original location of A to be

`\begin{gathered} A=(x^(\prime))/(3),(y^(\prime))/(3) \\ A=((6)/(3),(15)/(3)) \\ A=(2,5) \end{gathered}`

Hence,

The final answer is = ( 2,5)