Question

Quadrilateral ABCD is reflected across the X-axis and then reflected across the Y-axis to form quadrilateral ABCD. If the coordinates of vertex A are (-7, 3), what are the coordinates of vertex A?

A) (7, -3)
B) (-7, -3)
C) (7, 3)
D) (-7, 3)

Answer 1

To find the coordinates of vertex A after reflecting quadrilateral ABCD across the X-axis and then the Y-axis, we need to understand how reflection affects the coordinates. When a point is reflected across the X-axis, the y-coordinate changes sign while the x-coordinate remains the same.

Step-by-step explanation:

To find the coordinates of vertex A after reflecting quadrilateral ABCD across the X-axis and then the Y-axis, we need to understand how reflection affects the coordinates.

When a point is reflected across the X-axis, the y-coordinate changes sign while the x-coordinate remains the same.

So, if the original coordinates of vertex A are (-7, 3), when it is reflected across the X-axis, the y-coordinate becomes -3 and the x-coordinate remains -7.

When the reflected point is further reflected across the Y-axis, the x-coordinate changes sign while the y-coordinate remains the same.

Therefore, the final coordinates of vertex A after the two reflections are (7, -3).