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1
2. Rotate Rectangle ABCD 90° counterclockwise.
Then, translate it along the vector (3,4).
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C
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1 2 Rotate Rectangle ABCD 90 Counterclockwise Then Translate It Along The Vector 34 A D B C 4 2 4 2 АУ O 2 4 2 4 X A B C D A B C D HELP ME PLS class=

Sagot :

Medunno13idn

Rotating 90 degrees counterclockwise: [tex](x,y) \longrightarrow (-y,x)[/tex]

[tex]A(-4,4) \longrightarrow A'(-4, -4)\\\\B(-3, 4) \longrightarrow B'(-4, -3)\\\\C(-3, 1) \longrightarrow C'(-1, -3)\\\\D(-4, 1) \longrightarrow D'(-1, -4)[/tex]

Translate along [tex]\langle 3, 4 \rangle[/tex]: [tex](x,y) \longrightarrow (x+3, y+4)[/tex]

[tex]A'(-4, -4) \longrightarrow A''(-1, 0)\\\\B'(-4, -3) \longrightarrow B''(-1, 1)\\\\C'(-1, -3) \longrightarrow C''(2, 1)\\\\D'(-1, -4) \longrightarrow D''(2, 0)[/tex]

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