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Grade 10 Geometry

Can anyone please help me with this Geometry Math question? Soon as possible!


Graph triangle LNO with L(–6, 0), N(-4, 5), and O(1, –1).

Now graph triangle L'N'O' with the translation vector of <5 , 2>

Finally graph triangle L"N"O" by reflecting L'N'O' over the x-axis.

Respuesta :

frika

Answer:

See explanation

Step-by-step explanation:

Given: Triangle LNO with vertices L(-6,0), N(-4,5) and O(1,-1)

1st transformaion:

Trnaslation with the translation vector of <5 , 2> has the rule:

[tex](x,y)\rightarrow (x+5,y+2)[/tex]

Then

  • [tex]L(-6,0)\rightarrow L'(-1,2)[/tex]
  • [tex]N(-4,5)\rightarrow N'(1,7)[/tex]
  • [tex]O(1,-1)\rightarrow O'(6,1)[/tex]

2nd transformation:

Reflection over the x-axis has the rule:

[tex](x,y)\rightarrow (x,-y)[/tex]

Then

  • [tex]L'(-1,2)\rightarrow L''(-1,-2)[/tex]
  • [tex]N'(1,7)\rightarrow N''(1,-7)[/tex]
  • [tex]O'(6,1)\rightarrow O''(6,-1)[/tex]

See attached diagram for details

Ver imagen frika

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