Question

Reflect this figure across the y-axis:

Answer 1

The coordinates of the image triangle will be:

• A'(-1, 1)

• B'(-1, 3)

• C'(-3, 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 y-axis, the y-coordinate remains the same but the x-coordinate reveres its sign.

Thus,

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

P(x, y) → P'(-x, y)

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

• A(1, 1)

• B(1, 3)

• C(3, 3)

Using the rule of reflection across the y-axis:

P(x, y) → P'(-x, y)

Thus, the coordinates of the image triangle will be:

A(1, 1) → A'(-1, 1)

B(1, 3) → B'(-1, 3)

C(3, 3) → C'(-3, 3)

Therefore, the coordinates of the image triangle will be:

• A'(-1, 1)

• B'(-1, 3)

• C'(-3, 3)

Please also check the attached figure.

The green triangle represents the image triangle.