A triangle has corners at $(4, 4)$ $(4, 4 )$ , ( 3, -2) $, and$ $, and$ ( 5, -3)#. If the triangle is reflected across the x-axis, what will its new centroid be?

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A triangle has corners at $(4, 4)$ $(4, 4 )$ , ( 3, -2) $, and$ $, and$ ( 5, -3)#. If the triangle is reflected across the x-axis, what will its new centroid be?

1 Answer

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Answer 1 · 2017-12-22T14:18:53

$(4, \frac{1}{3})$ $(4,1/3)$

Explanation:

$the coordinates of the centroid are the average of the$ $"the coordinates of the centroid are the average of the"$
$coordinates of the vertices$ $"coordinates of the vertices"$

$centroid = (\frac{1}{3} (4 + 3 + 5), \frac{1}{3} (4 - 2 - 3))$ $"centroid "=(1/3(4+3+5),1/3(4-2-3))$

$centroid = (4, - \frac{1}{3})$ $color(white)("centroid ")=(4,-1/3)$

$under a reflection in the x-axis$ $"under a reflection in the x-axis"$

$∙ a point (x, y) \to (x, - y)$ $• " a point "(x,y)to(x,-y)$

$\Rightarrow new centroid = (4, \frac{1}{3})$ $rArr"new centroid "=(4,1/3)$

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A triangle has corners at $(4, 4)$ $(4, 4 )$ , ( 3, -2) $, and$ $, and$ ( 5, -3)#. If the triangle is reflected across the x-axis, what will its new centroid be?

1 Answer

Explanation:

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A triangle has corners at (4,4)(4, 4 ), ( 3, -2),and, and ( 5, -3)#. If the triangle is reflected across the x-axis, what will its new centroid be?

1 Answer

Explanation:

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A triangle has corners at $(4, 4)$ $(4, 4 )$ , ( 3, -2) $, and$ $, and$ ( 5, -3)#. If the triangle is reflected across the x-axis, what will its new centroid be?