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Afina-wow [57]
3 years ago
10

HELP! will give brainlest or whatever its called... Triangle ABC has vertices A(–2, 3), B(0, 3), and C(–1, –1). Find the coordin

ates of the image after a reflection over the x-axis. A’ B’ C’

Mathematics
1 answer:
Tomtit [17]3 years ago
4 0

Answers:

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

=======================================================

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as (x,y) \to (x,-y)

Applying this rule to the three given points will mean....

  • Point A = (-2, 3) becomes A ' = (-2, -3)
  • Point B = (0, 3) becomes B ' = (0, -3)
  • Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

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