Question

Trapezoid JKLM with vertices J(-4,3),K (-2,7),L(2,7), and M(3,3) in the line y=1. Find the cord images of the reflected object.

Answer 1

9514 1404 393

Answer:

• J'(-4, -1)
• K'(-2, -5)
• L'(2, -5)
• M'(3, -1)

Explanation:

Reflection over the line y=1 is equivalent to the transformation ...

(x, y) ⇒ (x, 2-y)

Then the transformed coordinates are ...

J(-4, 3) ⇒ J'(-4, -1)

K(-2, 7) ⇒ K'(-2, -5)

L(2, 7) ⇒ L'(2, -5)

M(3, 3) ⇒ M'(3, -1)

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You can do the arithmetic (as we have done above), or you can simply read the coordinates of the reflected points from the graph.