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9 the coordinates of △jkl and its image after a transformation are give…

Question

9 the coordinates of △jkl and its image after a transformation are given below. identify the transformation. △jkl: j(3, -2), k(6, 1), l(5, -7) △jkl: j(-3, -2), k(-6, 1), l(-5, -7) a) reflection in the x - axis playing drums b) reflection in the y - axis eating cotton candy c) 90° counterclockwise rotation singing show tunes d) 180° rotation texting their moms e) 270° counterclockwise rotation tap dancing *all rotations are about the origin.

Explanation:

Step1: Recall reflection rules

For a point $(x,y)$ reflected in the y - axis, the new point is $(-x,y)$.

Step2: Check given points

For point $J(3, - 2)$, its image $J'(-3,-2)$. For $K(6,1)$, its image $K'(-6,1)$. For $L(5,-7)$, its image $L'(-5,-7)$. All points follow the rule of reflection in the y - axis where the x - coordinate changes sign and the y - coordinate remains the same.

Answer:

B. Reflection in the y - axis