Describe the dilation needed to map each pre-image onto each image.

(1)- 1/3  (2)- 2  (3)- 1/2   (4)-  4.

Step-by-step explanation:

We have been given four images and their pre-images and we are asked to find out the factor of dilation.

(1) We have been given a triangle ABC, whose center of dilation is A. In order to find out factor of dilation we will see lengths of two corresponding sides. AB is 6 units long and A'B' is two units long. To map triangle ABC on triangle A'B'C' we have to dilate triangle ABC by a factor of 1/3 as 2 is 1/3 of 6.

Therefore, factor of dilation is 1/3.

(2) Let us find the lengths of two corresponding sides of our image and pre-image. Side ST is 6 units long and S'T' is 12 units long. To map our image of quadrilateral on pre-image we have to dilate our image by a factor of 2 as S'T' is 2 times of ST.

Therefore, factor of dilation is 2.

(3) Side QR is 6 units long and its corresponding side Q'R' is 3 units long. We can see that Q'R' is 1/2 of QR so in order to map our triangle QRS on triangle Q'R'S' we have to dilate our pre-image by a factor of 1/2.

Therefore, our factor of dilation is 1/2.

(4) Length of side AB of our image is 2 units and A'B' is 8 units long. 8 is 4  times 2. To map our pre-image ABC on our image A'B'C' we have to dilate our mage by a factor of 4.

Therefore, factor of dilation is 4.

step-by-step explanation:

i am not sure sorry : c

y > 1/3x

y < = -x + 4

hope this : )