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musickatia [10]
2 years ago
8

The line segment determined by A(4,7) and B(2, 9) along <0, –2>

Mathematics
1 answer:
Arlecino [84]2 years ago
4 0

The endpoints of the image are A'(x,y) = (4,5) and B'(x,y) = (2,7), respectively.

Note - The statement is incomplete. Complete description is shown below:

<em>The line segment determined by </em>A(4,7)<em> and </em>B(2,9)<em> is translated along </em>\langle 0, -2\rangle<em>. Determine the endpoints of the image of the line segment AB.</em>

Vectorially speaking, the translation of a point is defined by this formula:

P'(x,y) = P(x,y) + T(x,y) (1)

Where:

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

Now we proceed to calculate the endpoints of the image:

Point A

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

A'(x,y) = (4,7) + (0,-2)

A'(x,y) = (4,5)

Point B

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

B'(x,y) = (2,9) + (0,-2)

B'(x,y) = (2,7)

The endpoints of the image are A'(x,y) = (4,5) and B'(x,y) = (2,7), respectively.

We kindly invite to see this question on translations: brainly.com/question/12463306

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