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Measure of the side, x = 5.25 units

Step-by-step explanation:

Figure B is a scale image of figure A.

That means figure B is an image and figure A is a pre-image.

Scale factor for the dilation from figure A to figure B = 1.75

Scale factor =

             1.75 =

                  x = 1.75 × 3

                  x = 5.25 units

Therefore, measure of the side figure B is 5.25 units.

the length of o'p' is .

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 preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

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 .