The coordinates of quadrilateral VWXY are given below. Find the coordinates of its image after a dilation with the given scale factor. V(6,2), W(-2,4), x(-3,-5), Y(3,-5). scale factor of 2

The coordinates of its image after dilation by a scale factor of 2 will be:

Step-by-step explanation:

Given the quadrilateral VWXY

A dilation by a scale factor of 2 means every coordinate of the original quadrilateral gets multiplied by the scale factor (x2).

Using the formula of dilation by a scale factor of 2

Dilation with scale factor 2, multiply by 2

(x, y) → (2x, 2y)

Thus, the coordinates of its image after a dilation will be:

(x, y)          →           (2x, 2y)

V(6,2)        →         (2(6), 2(2))        =      V'(12, 4)

W(-2, 4)     →         (2(-2), 2(4))       =      W'(-4, 8)

X(-3, -5)     →         (2(-3), 2(-5))      =      X'(-6, -10)

Y(3, -5)      →          (2(3), 2(-5))       =      Y'(6, -10)

Therefore, the coordinates of its image after dilation by a scale factor of 2 will be:

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: