Question

Triangle ABC has vertices A(−2, 5), B(1, 0), and C(6, −2). What are the coordinates of the vertices of △AʹBʹCʹ for Ry-axis?

Answer 1

Answer:

A'(2,5)

B'(-1,0)

C'(-6,-2)

Step-by-step explanation:

Triangle A(-2,5) , B(1,0) , C(6,-2) reflection in the y-axis is;

A(-2 + 4 , 5) = A'(2,5)

B(1 - 2 , 0) = B'(-1,0)

C(6 - 12 , -2) = C'(-6,-2)

Answer 2

The resulting coordinates after reflections over the y-axis are given by;

• A' = (-(-2), 5) = (2, 5)
• B' = (-1, 0)
• C' = (-6, -2)

Given the coordinate of a figure in a xy-plane as (x, y). If this coordinate is reflected over the y-axis, then:

• Ry-axis = (-x, y)

Note that the x-coordinate was negated to get the equivalent reflection.

Given the vertices of a triangle expressed as A(−2, 5), B(1, 0), and C(6, −2).

The resulting coordinates after reflections over the y-axis are given by;

• A' = (-(-2), 5) = (2, 5)
• B' = (-1, 0)
• C' = (-6, -2)

Note that only the x-coordinates were negated. The y-coordinates remain the same.

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