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SSAT Elementary Level
Quantitative (Math)

Reflection of Square Across Line of Symmetry

Very Hard Geometry And Spatial Sense Symmetry

Consider a square ABCD with each side measuring 6 units. The square is placed on a coordinate grid such that point A is at (0, 0), point B is at (6, 0), point C is at (6, 6), and point D is at (0, 6). A line of symmetry is drawn from point A to point C, dividing the square into two equal parts.

If another shape is created by reflecting the square across the line AC, what will be the coordinates of the new points that are formed? The objective is to determine the coordinates of point B’ (the reflection of point B) after the reflection transformation.

Hint

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