Question

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

Answer 1

Answer:

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

• V'(12, 4)

• W'(-4, 8)

• X'(-6, -10)

• Y'(6, -10)

Step-by-step explanation:

Given the quadrilateral VWXY

• V(6, 2)

• W(-2, 4)

• X(-3, -5)

• Y(3, -5)

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:

• V'(12, 4)

• W'(-4, 8)

• X'(-6, -10)

• Y'(6, -10)