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Triangle cde maps to triangle lmn with the transformation (x,y) —> (x+3,y-2) —> (2/3x, 2/3y)

Of cd =9 what is lm?

Triangle cde maps to triangle lmn with the transformation (x,y) —> (x+3,y-2) —&gt-example-1
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User Driton
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2 Answers

4 votes
The answer is 890 best answer
answered
User Stephen Whitmore
by
9.0k points
4 votes

The value of LM = 6.

Let's break down the given transformations for each point:

1. Original point:
\( (x, y) \)

2. First transformation:
\( (x+3, y-2) \)

3. Second transformation:
\( \left((2)/(3)(x+3),
(2)/(3)(y-2)\right) \)

Now, if CD = 9 in the original triangle, LM can be found using the scale factor of
\( (2)/(3) \), as the second transformation involves scaling by
\( (2)/(3) \).


\[ LM = (2)/(3) * CD \]\\LM = (2)/(3) * 9 \]\\LM = 6 \]

Therefore, LM = 6.

answered
User Yasir Malang
by
7.9k points
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