Question

Which choice shows the coordinates of B’ if the trapezoid is reflected across the x-axis?

On a coordinate plane, trapezoid A B C D has points (2, 2), (7, 2), (5, 1), (3, 1).

(–7, 2)

(2, –7)

(7, –2)

(–2, 7)

Answer 1

the answer is c

Explanation:

Answer 2

Given:

Given that the coordinates of the trapezoid ABCD.

The coordinates are A(2,2), B(7,2), C(5,1) and D(3,1)

Also, given that the trapezoid is reflected across the x - axis.

We need to determine the coordinates of the point B' after the reflection across the x - axis.

Coordinates of the point B':

The general rule to reflect the point across the x - axis is given by

`(x,y) \implies (x,-y)`

Substituting the coordinate (7,2) in the above general rule, we get;

`(7,2) \implies (7,-2)`

Thus, the coordinate of the point B' after the reflection across the x - axis is (7,-2)

Hence, Option c is the correct answer.