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avatar+1632 

I dont know what dilated means but here is the question:

 

Triangle \(ABC\) with vertices at \(A(1,1)\), \(B(1,-2)\) and \(C(5,-2)\) is translated up 3 units and then dilated with respect to the origin by a factor of 2. What are the new coordinates of point \(C\)? Express your answer as an ordered pair.

 

smiley

 Jan 26, 2022
 #1
avatar
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The new coordinates of C are (16,-4).

 Jan 26, 2022
 #2
avatar+1632 
+5

The answer is (10,2)

proyaop  Jan 27, 2022
 #3
avatar+118673 
+2

dilated means enlarged. 

When the pupils of your eyes dilate, they get bigger :)

 

C(5,-2)

translatated up three

C'(5,1)

 

This is 5 units to the right and 1 unit up from the origin

If I dilate it wrt the origin with a factor of 2 then

it will be 10 units to the right and 2 units up so

C"(10,2)

 Jan 27, 2022

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