Question

Reflect this figure across the x-axis:

Answer 1

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.

Step-by-step 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.