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Please help meeee!!!!!!!!!-example-1

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The rigid transformation formula applied on triangle ABC is translation formula T(x, y) = (6, 4). (Correct choice: C)

How to determine the rigid transformation between a figure and its image

In this problem we must determine the rigid transformation between a figure and its image. We notice that triangle ABC becomes triangle DEF by means of a translation process, whose definition is introduced below:

  1. Horizontal translation: 6 units right.
  2. Vertical translation: 4 units up.

Translation is defined by following operation:

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

Where:

  • P(x, y) - Original point.
  • P'(x, y) - Resulting point.
  • T(x, y) - Vector translation.

Vector translation: T(x, y) = (6, 4)

If we know that A(x, y) = (- 4, - 2), B(x, y) = (- 2, - 3) and C(x, y) = (- 4, - 3), then vertices of triangle DEF are, respectively:

D(x, y) = (- 4, - 2) + (6, 4)

D(x, y) = (2, 2)

E(x, y) = (- 2, - 3) + (6, 4)

E(x, y) = (4, 1)

F(x, y) = (- 4, - 3) + (6, 4)

F(x, y) = (2, 1)

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