document.write( "Question 1172342: How many squares on the co-ordinate plane exist with one vertex at P(-1,1) and having atleast one of the coordinate axes as axis of symmetry...?? \n" ); document.write( "

Algebra.Com's Answer #797363 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The four axes of symmetry of a square are the two lines joining midpoints of opposite sides and the two diagonals.

\n" ); document.write( "If one of the coordinate axes is an axis of symmetry of the square, then the square has its sides either parallel to the coordinate axes, or at 45 degree angles to them.

\n" ); document.write( "If a square has its sides parallel to the coordinate axes and one vertex of the square is at (-1,1) then the side length of the square must be 2. There are four squares with side length 2, sides parallel to the coordinate axes, and one vertex at (-1,1). How many of them have at least one of the coordinate axes as an axis of symmetry?

\n" ); document.write( "If a square has its sides at 45 degree angles to the coordinate axes and one vertex of the square is at (-1,1), then the side length of the square is the $\"2sqrt%282%29\"$ . There are four squares with side length $\"2sqrt%282%29\"$ , sides at 45 degree angles to the coordinate axes, and one vertex at the given point (-1,1). How many of them have at least one of the coordinate axes as an axis of symmetry?

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