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Irina18 [472]
2 years ago
8

Rectangle LMNP is rotated, using the origin as the center of rotation, to form rectangle L’M’N’P’. What is the angle of rotation

? On a coordinate plane, rectangle L M N P has points (negative 2, 5), (1, 5), (1, 4), (negative 2, 4). Rectangle L prime M prime N prime P prime has points (2, negative 5), (negative 1, negative 5), (negative 1, negative 4), (2, negative 4).
Mathematics
1 answer:
maria [59]2 years ago
5 0

Answer: 180 degrees

Step-by-step explanation:

A rotation of 180 degrees about the origin maps (x,y) \longrightarrow (-x, -y).

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marta [7]

Answer:

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Step-by-step explanation:

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jeka57 [31]

The answer is:   "  y − 1  =  - 3(x + 2) " .
__________________________________________________________

Explanations: 
__________________________________________________________

<u>Note</u>:  The "point-slope form" of the equation of a line is:

                  →     " y − y₁ = m(x −x₁) " . 

We are given the slope,  m" , is:  " - 3 " ;  

We are given a point on the line [on the graph that is represented by this equation];  with the coordinates:  " (-2 , 1) " ;  

                          →   which is in the format: " (x₁ , y₁) " ;
                                      
                          →   As such:  " x₁  = -2 "  ;   " y₁  =  1 " ; 
_____________________________________________________
As aforementioned, the equation of a line in "point-slope form" ;  is:  
_________________________________________________________
                          →    " y − y₁ = m(x − x₁) " ;  

in which:
 
 →  "(x₁ , y₁) " represents the coordinates of a given point on the [line of the graph represented by the equation] ;  AND: 

 →   " m "  =   the slope of the line [represented by the equation] " ; 

We proceed by substituting our known values for "m" ;  "y₁" ; and "x₁" :
 
 →       " y − 1  =  - 3(x − (-2) ) "  ;   
_______________________________________________________                                                        
 →   Rewrite as:
_______________________________________________________
 →      "  y − 1  =  - 3(x + 2) "  ;  

 →    which is our answer;  since it is written in "point-slope form" .
_______________________________________________________
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Answer:

Step-by-step explanation:

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