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Given: AB with endpoints A(2, -1) and B(2,-2) is reflected in the line y = - X. What are the

new coordinates for A' and B' after the reflection? (Rules for Reflection, if (a,b) is reflected in
the line y = - x, then its image point is (-b, -a)

User Yitzih
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Final answer:

To find the reflected points A' and B' in the line y = -x, apply the reflection rules to transform the original coordinates. Point A(2, -1) becomes A'(1, -2), and point B(2, -2) becomes B'(2, -2) after reflection.

Step-by-step explanation:

The question asks for new coordinates of points A and B after being reflected in the line y = -x on the Cartesian plane. By applying the rules for reflection, which stipulate that if the point (a, b) is reflected in the line y = -x, then its image point is (-b, -a), we can find the transformed points A'(2, -1) and B'(2, -2).

The new coordinates for point A' after reflection will be (-(-1), -2) which simplifies to (1, -2). Similarly, the coordinates for point B' after reflection will be (-(-2), -2) which gives us (2, -2).

User Alonme
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