Questions: Graph the image of AB after a reflection over the line y=x. Use the Edit Label button to change the names of the points on the answer segment.

Graph the image of AB after a reflection over the line y=x. Use the Edit Label button to change the names of the points on the answer segment.

Transcript text: Graph the image of $A B$ after a reflection over the line $y=x$. Use the Edit Label button to change the names of the points on the answer segment.

Solution

Solution Steps

Step 1: Identify the coordinates of A and B

Point A is located at (2, 4). Point B is located at (4, 10).

Step 2: Reflect the points over the line y = x

To reflect a point over the line y = x, we swap the x and y coordinates. A' = (4, 2) B' = (10, 4)

Step 3: Plot the reflected points and connect them

Plot A' at (4, 2) and B' at (10, 4). Connect A' and B' with a line segment.

Final Answer:

The reflected segment A'B' has endpoints A'(4, 2) and B'(10, 4).

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