Question

Trapezold TUVW is shown on the coordinate plane below: w V If trapezoid TU'V'W' represents trapezoid TUVW reflected over the y-axis, the ordered pair of Wis (Note: You must include parentheses, a comma, and a space after the comma when typing the ordered pair.)

Answer 1

A reflection of a point over the y-axis in a coordinate plane changes the sign of its x-coordinate while the y-coordinate remains the same. Therefore, if the ordered pair of W in trapezoid TUVW is (a, b), the ordered pair of W' in the reflected trapezoid TU'V'W' will be (-a, b).

Step-by-step explanation:

In Mathematics, the order pair of a point indicates its location on the coordinate plane. The order pair of a point W is (x, y), where x is the horizontal distance the point is from the y-axis (positive to the right), and y is the vertical distance from the x-axis (positive upward).

If a point is reflected over the y-axis, its x-coordinate changes sign while its y-coordinate remains the same. If, say, point W of trapezoid TUVW is at (a, b), then after reflection, W' of the reflected trapezoid TU'V'W' will be at (-a , b). Essentially, the reflection over the y-axis flips the trapezoid horizontally across the y-axis, changing the sign of the x-coordinates but leaving the y-coordinates unchanged.

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