Question

Triangle has vertices X = (5, -1), Y = (1, 4), and Z = (-8 ,0). Triangle ''' is formed when triangle is reflected over the y-axis. What are the coordinates of triangle '''?

Answer 1

The coordinates of the vertices of the triangle after reflection over the y-axis are X(-5, -1), Y(-1, 4), and Z(8, 0).

We are given a triangle ΔXYZ. The vertices of the triangle are X(5, -1), Y(1, 4), and Z(-8, 0). We have to reflect the triangle over the y-axis and find the new coordinates of the vertices of the triangle.

The rule for reflecting across the Y axis is to negate the x-coordinate of each point while leaving the y-coordinate unaltered.

The new coordinates of the vertices of the triangle after reflection over the y-axis are X(-5, -1), Y(-1, 4), and Z(8, 0).

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