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A(-2, 4) and B(-4, 2) are reflected in t...

A(-2, 4) and B(-4, 2) are reflected in the y-axis. If A and B' are images of A and B respectively.
Find the co-ordinates of A' and B'

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To find the coordinates of the images A' and B' of points A and B when reflected in the y-axis, we follow these steps: ### Step 1: Identify the coordinates of points A and B. - Point A has coordinates (-2, 4). - Point B has coordinates (-4, 2). ### Step 2: Understand the reflection in the y-axis. When a point (x, y) is reflected in the y-axis, the x-coordinate changes its sign, while the y-coordinate remains the same. Therefore, the new coordinates will be (−x, y). ### Step 3: Reflect point A in the y-axis. - The coordinates of A are (-2, 4). - To reflect A in the y-axis, we change the sign of the x-coordinate: - A' = (−(-2), 4) = (2, 4). ### Step 4: Reflect point B in the y-axis. - The coordinates of B are (-4, 2). - To reflect B in the y-axis, we change the sign of the x-coordinate: - B' = (−(-4), 2) = (4, 2). ### Step 5: Write the final coordinates of A' and B'. - The coordinates of A' are (2, 4). - The coordinates of B' are (4, 2). ### Final Answer: - A' = (2, 4) - B' = (4, 2) ---
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