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

Answer 1

If you reflect across the x-axis, then the x-coordinates will not change and the y-coordinates will equal #-y#

#(6,4)rarr(6,-4)# #(2,-2)rarr(2,2)# #(5,-8)rarr(5,8)#

Coordinates of centroid is [(x1 + x2 + x3)/3, (y1 + y2 + y3)/3]

centroid #=[(6+2+5)/3, (-4+2+8)/3)]#
centroid #=(13/3, 2)#

hope that helped

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To find the centroid of the reflected triangle, you first find the centroid of the original triangle, then reflect it across the x-axis. The centroid of the original triangle is the average of its x-coordinates and the average of its y-coordinates.

Original centroid: x-coordinate = (6 + 2 + 5) / 3 = 13 / 3 ≈ 4.33 y-coordinate = (4 - 2 - 8) / 3 = -6 / 3 = -2

Reflected centroid: Reflect the y-coordinate across the x-axis: -(-2) = 2

So, the new centroid of the reflected triangle is (4.33, 2).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7