Triangle XYZ has vertices X(2,4), Y(3,4) and Z(3,8). Suppose you reflect this across the y-axis, then dilate it with a scale fac

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Triangle XYZ has vertices X(2,4), Y(3,4) and Z(3,8). Suppose you reflect this across the y-axis, then dilate it with a scale fac

tor of 2 with the origin as the center of dilation. What are the coordinates of the resulting triangle X″Y″Z″? answers: A) X″(–4,8), Y″(–6,8), Z″(–6,16) B) X″(2,–4), Y″(3,–4), Z″(3,–8) C) X″(–2,4), Y″(–3,4), Z″(–3,8) D) X″(4,–8), Y″(6,–8), Z″(6,–16)

Mathematics

1 answer:

mel-nik [20] · Answer 1 · 2022-02-11T12:23:38+03:00

Answer:

X'' (-4, 8)

Y'' (-6, 8)

Z'' (-6, 16)

Step-by-step explanation:

The rule for reflecting across the y-axis is (x, y) -> (-x, y)

When you dilate by a scale factor of 2 about the origin, multiply each coordinate point by 2.

X (2, 4) -> (-2, 4) -> (-4, 8)

Y (3, 4) -> (-3, 4) -> (-6, 8)

Z ( 3, 8) -> (-3, 8) -> (-6, 16)