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.
Step-by-step 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) β 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) β P'(-x, y)
Thus, the coordinates of the image triangle will be:
A(1, 1) β A'(-1, 1)
B(1, 3) β B'(-1, 3)
C(3, 3) β 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.
![Reflect this figure across the y-axis:](/tpl/images/1043/4765/ec408.jpg)