Acity grid of anytown, usa is shown on the grid below. the fire department is represented by quadrilateral rstu. another fire department is opening in a different part of the city to maximize fire protection. the size of the new department's property must be congruent to the older department. vertices a and b are plotted on the grid below to represent two vertices of the new fire department quadrilateral abcd:

what could be the ordered pairs representing vertices c and d of quadrilateral abcd so that the new fire department is congruent to the old fire department?

The original fire department is 3  units wide and 4 units long.

The new fire deportment is also 3 units wide, so to be congruent, it needs to be 4 units long.

Point C would be (1,-5)

Point D would be (4,-5)

See attached picture.

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 .