16
QuizMultiple Choice

Geometric Transformations — Test

Question 16 • Geometry

A line segment has endpoints at open paren negative 1 comma 4 close paren and open paren 4 comma 1 close paren Which reflection will produce an image with endpoints at open paren negative 4 comma 1 close paren and open paren negative 1 comma negative 4 close paren ?

Answer
A
a reflection of the line segment across the line y is equal to x
B
a reflection of the line segment across the line y is equal to negative x
C
a reflection of the line segment across the x -axis
D
a reflection of the line segment across the y -axis

Explanation

Reflecting a point across the line y = −x changes (x, y) to (−y, −x). Applying this rule, (−1, 4) becomes (−4, 1), and (4, 1) becomes (−1, −4). So the image is produced by reflecting across the line y = −x, choice B.

AI-written and checked against the verified answer.

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