Question

Trapezoid TUVW on the coordinate plane with ordered pairs at T negative 5, 5, at U negative 2, 5, at V negative 2, 2, at W negative 7, 2.

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

(x,y)->(-x,y)
(-7,2)->(7,2)

Answer 2

The ordered pair of W' is ( 7 , 2 ).

Explanation:

Given: Coordinates of the vertices of Trapezoid TUVW

T( -5 , 5 ) , U( -2 , 5 ) , V( -2 , 2 ) and W( -7 , 2 )

Trapezoid TUVW reflected over the y-axis.

Reflected trapezoid name is T'U'V'W'

We need to find coordinate of W'

We know that rule for a reflection of a coordinate over the y -axis is
`(x,y)\rightarrow (-x,y)`

Using this rule we get,

Coordinate of T' = ( -(-5) , 5 ) = ( 5 , 5 )

Coordinate of U' = ( -(-2) , 5 ) = ( 2 , 5 )

Coordinate of V' = ( -(-2) , 2 ) = ( 2 , 2 )

Coordinate of W' = ( -(-7) , 2 ) = ( 7 , 2 )

Therefore, The ordered pair of W' is ( 7 , 2 )