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Reflect this figure across the x-axis:

Reflect this figure across the x-axis:-example-1
User Woz
by
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1 Answer

8 votes

Answer:

The coordinates of the image triangle will be:

  • A'(-3, -1)
  • B'(-3, -3)
  • C'(-1, -3)

Please also check the attached figure.

The green triangle represents the image triangle.

Explanation:

We know that when we reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate reveres its sign.

Thus,

The rule of reflection of the point P(x, y) across the x-axis is:

P(x, y) → P'(x, -y)

In the attached figure, let the coordinates of the triangle are:

  • A(-3, 1)
  • B(-3, 3)
  • C(-1, 3)

Using the rule of reflection across the x-axis:

P(x, y) → P'(x, -y)

Thus, the coordinates of the image triangle will be:

A(-3, 1) → A'(-3, -1)

B(-3, 3) → B'(-3, -3)

C(-1, 3) → C'(-1, -3)

Therefore, the coordinates of the image triangle will be:

  • A'(-3, -1)
  • B'(-3, -3)
  • C'(-1, -3)

Please also check the attached figure.

The green triangle represents the image triangle.

Reflect this figure across the x-axis:-example-1
User Chetan Sharma
by
3.4k points