What is the preimage of vertex a?


Asked by maham237 @ in Mathematics viewed by 241 People


What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the line y = x?
(10, –2)

(–10, 2)

(–2, –10)

(2, 10)

Answered by maham237 @



The correct answer is:

(10, –2)

Explanation:

A reflection through y=x switches the x- and y-coordinates; it maps (x,y)→(y,x).

This means A'(-2, 10) has already been switched; -2=y and 10=x, so A is (10, -2).


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