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25 votes
Use a translation rule to describe the translation of ABC that is 6 units to the right and 10 units down.​

User Matt Stannett
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2 Answers

11 votes
11 votes

Final answer:

The translation rule for moving triangle ABC 6 units to the right and 10 units down is described by the function T(x, y) => (x+6, y-10), involving horizontal and vertical vectors representing these movements.

Step-by-step explanation:

The translation rule to describe the translation of triangle ABC that is 6 units to the right and 10 units down is expressed by the function T(x, y) => (x+6, y-10). To perform this translation:

  1. Draw an arrow representing the vector that translates the shape. This vector will be 6 units in length in the horizontal direction (to the right) and 10 units in length in the vertical direction (downward).
  2. Apply this transformation to each vertex (point) of triangle ABC. If point A has coordinates (x1, y1), the new coordinates for A after translation would be (x1+6, y1-10), and the same applies to points B and C.

To visualize this movement:

  • Use a ruler and protractor to draw an arrow to the right for the horizontal component of 6 units.
  • Then, draw an arrow downward for the vertical component of 10 units.

The combined effect of these two movements accurately represents the translation of triangle ABC.

User Will Warner
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2.9k points
9 votes
9 votes

Answer:

(x, y ) → (x + 6, y - 10 )

Step-by-step explanation:

6 units right is + 6 in the x- direction

10 units down is - 10 in the y- direction

the translation rule is

(x, y ) → (x + 6, y - 10 )

User Joliejuly
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2.7k points