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If ABC is reflected across the y-axis, what are the coordinates of A? A (1-3)
B. (-1, -3)
C. (5,-3)
D. (-1,3)

If ABC is reflected across the yaxis what are the coordinates of A A 13 B 1 3 C 53 D 13 class=

Respuesta :

Answer:

d. (-1, 3)

Step-by-step explanation:

Reflecting across y axis means the x coordinate will change.

Imagine a mirror image of the triangle on the other side of Y axis.

A's coordinates on the right are (1, 3)

So if we flip across Y the coordinates will now be (-1, 3)

3 stays the same because it is still in the same position vertically.

The correct option will be Option B: When ABC is reflected about the y-axis, then the coordinate of A will be(-1,-3).

What is reflection?

Reflection is the transformation of the picture about an axis so that the distance of the reflected image from the axis is the same as the distance of the original image from the axis.

When a point of coordinate (x,y) is reflected by the y-axis then the coordinate of the reflected point will be of coordinate (-x,y).

Given that the triangle ΔABC is reflected across the y-axis.

The coordinate of point A is (1,-3).

When point A of triangle ΔABC is reflected by the y-axis, then the coordinate of y will not change. The mirror image of the triangle will be on the other side of the y-axis.

As we know When a point of coordinate (x,y) is reflected by the y-axis then the coordinate of the reflected point will be of coordinate (-x,y).

Then the coordinate of the reflected point A will be (-1,-3).

Therefore when ABC is reflected about the y-axis, then the coordinate of A will be(-1,-3).

Learn more about reflection

here: https://brainly.com/question/4070544

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