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Give the coordinates of the image. Trapezoid JKLM with vertices J(-6, 6), K(-3, 7), L(-1, 3), and M(-8, 0): (x, y) → (x + 7, y – 3)

User Dmitro
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1 Answer

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The coordinates of the image of trapezoid JKLM are J'(x, y) = (1, 3), K'(x, y) = (4, 4), L'(x, y) = (6, 0) and M'(x, y) = (- 1, - 3).

How to find the coordinates of the image of a trapezoid

Herein we find the coordinates of the vertices of trapezoid JKLM, whose image is determined by means of a rigid transformation known as translation, whose formula is:

P'(x, y) = P(x, y) + T(x, y)

Where:

  • P(x, y) - Original point
  • T(x, y) - Translation vector
  • P'(x, y) - Resulting point

If we know that J(x, y) = (- 6, 6), K(x, y) = (- 3, 7), L(x, y) = (- 1, 3), M(x, y) = (- 8, 0) and T(x, y) = (7, - 3), then the coordinates of the image are:

J'(x, y) = (- 6, 6) + (7, - 3)

J'(x, y) = (1, 3)

K'(x, y) = (- 3, 7) +(7, - 3)

K'(x, y) = (4, 4)

L'(x, y) = (- 1, 3) + (7, - 3)

L'(x, y) = (6, 0)

M'(x, y) = (- 8, 0) + (7, - 3)

M'(x, y) = (- 1, - 3)

User Jobi Mg
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