Question

question 1 - 2
the graph below shows a transformation from pre - image ( a b c d ) to image ( a ^ { prime } b ^ { prime } c ^ { prime } d ^ { prime } ) of a reflection
of vector ( < 10,2 > )
across the line ( y = - x )
across the line ( y = x )
of ( 90 ^ { circ } ) clockwise about the point b
of ( 180 ^ { circ } ) about the point b

Explanation:

Step1: Recall reflection rules

For a point \((x,y)\) reflected across the line \(y = x\), the image is \((y,x)\).

Step2: Analyze the transformation

If we assume some sample points from \(ABCD\) (say \(A(x_1,y_1)\)) and check its image \(A'(y_1,x_1)\) in \(A'B'C'D'\) (by visual inspection of the graph - as we don't have the actual graph but based on the options), the reflection across the line \(y=x\) swaps the \(x\) and \(y\) - coordinates of each point of the pre - image.

Answer:

across the line \(y = x\)