Question

Trapezoid TUVW is shown on the coordinate plane below: Trapezoid TUVW on the coordinate plane with ordered pairs at T negative 4, negative 1, at U negative 1, negative 1, at V negative 1, negative 4, at W negative 6, negative 4. If trapezoid T'U'V'W' represents trapezoid TUVW reflected over the y-axis, the ordered pair of W' is ___________. (Note: You must include parentheses, a comma, and a space after the comma when typing the ordered pair.)

Answer 1

To reflect over the y axis, the formula is (-x, y). For W, which currently is (-6, -4), the -6 becomes -(-6), which is the same as 6, so the answer is (6, -4).

Answer 2

The ordered pair of W' are after the reflection of the trapezoid TUVW over the y-axis are:

(6,-4)

Explanation:

Trapezoid TUVW on the coordinate plane with ordered pairs at :

T(-4,-1) , U(-1,-1) , V(-1,-4) , W(-6,-4)

Now trapezoid T'U'V'W' represents trapezoid TUVW reflected over the y-axis.

We know that if any figure is reflected over the y-axis then the coordinate changes is given by:

(x,y) → (-x,y)

Here T → T'

U → U'

V → V'

W → W'

Hence, the coordinates of:

T' are: (4,-1)

U' are: (1,-1)

V' are: (1,-4)

W' are: (6,-4)

Hence the ordered pair of W' are: (6,-4)