Questions: Point A(2,-3) is reflected across the x-axis to point B. Point B is reflected across the y-axis to point C. What are the coordinates of point C? Use words and numbers to explain your answer.

Solution Steps

To find the coordinates of point \( C \), we need to perform two reflections. First, reflect point \( A(2, -3) \) across the \( x \)-axis to get point \( B \). This changes the \( y \)-coordinate to its opposite, resulting in point \( B(2, 3) \). Next, reflect point \( B \) across the \( y \)-axis to get point \( C \). This changes the \( x \)-coordinate to its opposite, resulting in point \( C(-2, 3) \).

Given point \( A(2, -3) \), we reflect it across the \( x \)-axis. The reflection across the \( x \)-axis changes the \( y \)-coordinate to its opposite. Thus, the coordinates of point \( B \) are: \[ B = (2, -(-3)) = (2, 3) \]

Next, we reflect point \( B(2, 3) \) across the \( y \)-axis. The reflection across the \( y \)-axis changes the \( x \)-coordinate to its opposite. Therefore, the coordinates of point \( C \) are: \[ C = (-2, 3) \]

Final Answer