Suppose that rectangle abcd is dilated to a'b'c'd' by a scale factor of 3 with a center of dilation at (1, 1). what is the approximate distance from the center of dilation to the midpoint of c'd'? a) 3 units b) 4.5 units c) 6.3 units d) 9 units

The correct option is C.

Step-by-step explanation:

From the given figure it is noticed that the coordinates of vertices are C(1,-2) and D(-2,1).

Dilation by factor k with center at origin is defined as

Dilation by factor k with center at point (a,b) is defined as

The scale factor is 3 and center of dilation at (1, 1).

The coordinates of C' are

The coordinates of D' are

Midpoint of C'D is

Distance formula is

Distance between (-3.5,-3.5) and (1,1) is

Therefore option C is correct.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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