A triangle has corners at $(1, 5)$ $(1, 5 )$ , ( 6, 8) $, and$ $, and$ ( 4, 2)#. If the triangle is reflected across the x-axis, what will its new centroid be?

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A triangle has corners at $(1, 5)$ $(1, 5 )$ , ( 6, 8) $, and$ $, and$ ( 4, 2)#. If the triangle is reflected across the x-axis, what will its new centroid be?

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Answer 1 · 2018-01-10T09:02:41

Coordinates of new centroid $(\frac{11}{3}, - 5)$ $(color(blue)(11/3), color(red)(-5))$

Explanation:

Centroid coordinates

$x = \frac{x_{1} + x_{2} + x_{3}}{3} = \frac{1 + 6 + 4}{3} = \frac{11}{3}$ $x = (x_1 + x_2 + x_3)/3 = (1 + 6 + 4) / 3 =color(blue)( 11/3)$

$y = \frac{y_{1} + y_{2} + y_{3}}{3} = \frac{5 + 8 + 2}{3} = 5$ $y = (y_1 + y_2 + y_3)/3 = (5 + 8 + 2) / 3 = color (blue)(5)$

Coordinates of centroid $\frac{11}{3}, 5$ $color(blue)(11/3), color(blue )(5)$

Since the triangle is reflected across x-axis,
x coordinate of new centroid will remain the same. Only y coordinate will mirror and equidistant from the x-axis.

Coordinates of new centroid $(\frac{11}{3}, - 5)$ $(color(blue)(11/3), color(red)(-5))$

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A triangle has corners at $(1, 5)$ $(1, 5 )$ , ( 6, 8) $, and$ $, and$ ( 4, 2)#. If the triangle is reflected across the x-axis, what will its new centroid be?

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

A triangle has corners at (1,5)(1, 5 ), ( 6, 8),and, and ( 4, 2)#. If the triangle is reflected across the x-axis, what will its new centroid be?

1 Answer

Explanation:

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Impact of this question

A triangle has corners at $(1, 5)$ $(1, 5 )$ , ( 6, 8) $, and$ $, and$ ( 4, 2)#. If the triangle is reflected across the x-axis, what will its new centroid be?