Question

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.

Answer 1

See explanation

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:

`(x,y)\rightarrow (x+5,y+2)`

Then

• 
  `L(-6,0)\rightarrow L'(-1,2)`
• 
  `N(-4,5)\rightarrow N'(1,7)`
• 
  `O(1,-1)\rightarrow O'(6,1)`

2nd transformation:

Reflection over the x-axis has the rule:

`(x,y)\rightarrow (x,-y)`

Then

• 
  `L'(-1,2)\rightarrow L''(-1,-2)`
• 
  `N'(1,7)\rightarrow N''(1,-7)`
• 
  `O'(6,1)\rightarrow O''(6,-1)`

See attached diagram for details