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Umnica [9.8K]
3 years ago
6

Write a translation rule that maps point D(7,-3) onto point D'(2,5).

Mathematics
2 answers:
Sergio039 [100]3 years ago
6 0
We are given D (7, -3) and D'(2, 5).

SAppy the transformation
D'(x,y) → D(x-5, y+8).
Then 
x=7 → x=7-5 = 2
y=-3 → y=-3+8 = 5

Answer: D (x-5, y+8) → D'
ehidna [41]3 years ago
5 0
ANSWER

The translation rule is

D(x,y)\rightarrow D'(x-5,y+8).

EXPLANATION

Let \binom{x}{y}
be the translation vector that maps D(7,-3)
on to D'(2,5).

Then we have the vector equation,

\binom{7}{ - 3} + \binom{x}{y} = \binom{2}{5}

We now solve for
\binom{x}{y}

\binom{x}{y} = \binom{2}{5} - \binom{7}{ - 3}

This simplifies to,

\binom{x}{y} = \binom{2 - 7}{5 - - 3}

\binom{x}{y} = \binom{2 - 7}{5 + 3}

\binom{x}{y} = \binom{ - 5}{8}

Therefore the translation rule is,

D(x,y)\rightarrow D'(x-5,y+8)
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