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DanielleElmas [232]
3 years ago
14

The coordinates of quadrilateral VWXY are given below. Find the coordinates of its image after a dilation with the given scale f

actor.
V(6,2), W(-2,4), x(-3,-5), Y(3,-5). scale factor of 2
Mathematics
1 answer:
Lapatulllka [165]3 years ago
8 0

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).

<u>Using the formula of dilation by a scale factor of 2</u>

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)
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