If rectangle abcd, defined by the coordinates a(0, 0), b(0, -4), c(-2, -4), d(-2, 0), is dilated by a scale factor of 2, with resulting vertex a' at (2, 4), what is the center of the dilation? a) (0, 0) eliminate b) (2, 4) c) (0, -4) d) (-2, -4)

D) (-2, -4).

Step-by-step explanation:

Let be the center of dilation. Imagine that is the center of origin of a new Cartesian Plane. What would the coordinates of point A and A' on the new plane?

Dilating about the "origin" of the new plane by a factor of two will give the point , also on the new plane.

For coordinates of A' on the original plane,

.

As a result,

.

.

.

In other words, is the center of dilation.

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.

the answer would be 484

step-by-step explanation:

just multiply 0.484 times 1,000 (formula)