Quadrilateral m n o p was dilated with the origin as the center of dilation to create quadrilateral m ′ n ′ o ′ p ′ . the quadrilateral was dilated using a scale factor of 1.5 1 . 5 . the coordinates of the vertices of quadrilateral m n o p are given. what are the coordinates of ′ n ′ ?

The length of O'P' is 1.5 * OP

Step-by-step explanation:

It is given that the quadrilateral M'N'O'P' is the image of quadrilateral MNOP after dilation.

The center of dilation is origin and the scale factor is 1.5.

In dilation the image and pre-image are similar figures. It means the sides of image and pre-image are proportional.

The scale factor is defined as

k = O'P'/OP

The scale factor is 1.5.

1.5 = O'P'/OP

Multiply both sides by OP.

1.5 * OP = O'P'

Note: If the value of OP is given, then multiply the value of OP with 1.5 to get the length of side O'P'.

Therefore length of O'P' is 1.5 * OP

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.