Question

the vertices of figure ABC are A(-4,1), B(5,3), and C(4,-2). If figure ABC is reflected over the line x=2, find the coordinates of vertex B'.

Answer 1

The coordinates of vertex B' are (-1,3)

What is reflection?

Reflection is a mathematical transformation in which a image of an object is formed by flipping it over a reflection line a distance equal to the distance of the object from the reflection line.

Analysis:

When an object is reflected along the y-axis, only the the x-coordinate changes , if reflected along the x-axis, only the y-coordinate changes.

So vertex B' is a reflected vertex along the y- axis since it is at x=2

The distance of the x-coordinate of vertex B from the mirror line is 5-2 = 3

so the x-coordinate of vertex B' is going 3 units away from the mirror line which is at -1.

So the coordinates of vertex B' are (-1,3)

In conclusion, the coordinates of vertex B' reflected over the line X= 2 are (-1,3)

Learn more about transformation: brainly.com/question/4289712

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