A triangle has corners at #(1 ,5 )#, #(3 ,-9 )#, and #(-1 ,-4 )#. If the triangle is dilated by a factor of #5 # about point #(-1 ,-2 ), how far will its centroid move?

1 Answer
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources
preview
?

Answer

Write a one sentence answer...

Answer:

Explanation

Explain in detail...

Explanation:

I want someone to double check my answer

Describe your changes (optional) 200

1
Feb 10, 2018

Answer:

Distance moved by centroid #vec(GG') ~~ 8.11#

Explanation:

Dilation factor 5, dilated about D (-1,-2)

Centroid #G = (1+3-1)/3, (5-9-4)/3 => ((1),(-8/3))#

#bar(G'D) = 5 * bar(GD)#

#G'((x+1),(y+2)) = 5 * ((1+1),(-8/3+2)) => ((10),(-10/3))#

#G'((9),(-4/3))#

#vec(G'G) = sqrt((9-1)^2 + (-4/3 + 8/3)^2) ~~ 8.11#

Was this helpful? Let the contributor know!
1500