Test: Transformation Geometry II - Challenging

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Question 1:   Find the triangle ABC under a reflection across the line y=x , where A( 3,1 ),B( 1,3 ),C( 2,4 ) :
A =( 3,1 ), B =( 3,1 ), C =( 2,4 )
A =( 1,3 ), B =( 3,1 ), C =( 4,2 )
A =( 3,1 ), B =( 1,3 ), C =( 4,2 )
A =( 3,1 ), B =( 3,1 ), C =( 2,4 )
Question 2:   Find the triangle ABC under a reflection across the line y=x ,  where A( 5,2 ),B( 1,3 ),C( 1,3 ) :
A =( 2,5 ), B =( 1,3 ), C =( 1,3 )
A =( 5,2 ), B =( 1,3 ), C =( 1,3 )
A =( 2,5 ), B =( 3,1 ), C =( 3,1 )
A =( 5,2 ), B =( 3,1 ), C =( 3,1 )
Question 3:   Find the coordinates of the triangle ABC enlarged by a factor of 2 :
A =( 4,2 ), B =( 4,4 ), C =( 2,4 )
A =( 4,2 ), B =( 4,4 ), C =( 2,4 )
A =( 2,4 ), B =( 4,4 ), C =( 4,2 )
A =( 4,2 ), B =( 4,4 ), C =( 2,4 )
Question 4:   Find the coordinates of the triangle ABC enlarged by a factor 1 2 and centered about the origin:
A =( 1,4 ), B =( 2,2 ), C =( 1,1 )
A =( 16,4 ), B =( 8,8 ), C =( 4,4 )
A =( 4,1 ), B =( 2,2 ), C =( 1,1 )
A =( 4,1 ), B =( 1,1 ), C =( 1,1 )
Question 5:   Find the coordinates of the triangle ABC rotated by 90° about the origin:
A =( 1,2 ), B =( 1,0 ), C =( 4,1 )
A =( 1,1 ), B =( 3,1 ), C =( 2,4 )
A =( 1,3 ), B =( 1,1 ), C =( 4,2 )
A =( 1,0 ), B =( 3,0 ), C =( 2,3 )
Question 6:   Find the coordinates of the triangle ABC rotated by 180° about the origin:
A =( 3,1 ), B =( 7,1 ), C =( 4,2 )
A =( 1,3 ), B =( 1,7 ), C =( 2,4 )
A =( 1,3 ), B =( 1,7 ), C =( 2,4 )
A =( 3,1 ), B =( 7,1 ), C =( 4,2 )
Question 7:   Find the coordinates of the triangle ABC rotated by 270° about the origin:
A =( 1,1 ), B =( 3,0 ), C =( 2,4 )
A =( 1,1 ), B =( 3,0 ), C =( 2,4 )
A =( 1,1 ), B =( 3,0 ), C =( 2,4 )
A =( 1,1 ), B =( 0,3 ), C =( 2,4 )
Question 8:   Find the coordinates of the triangle ABC rotated by 90° about the origin:
A =( 0,2 ), B =( 1,4 ), C =( 1,5 )
A =( 2,0 ), B =( 4,1 ), C =( 5,1 )
A =( 0,2 ), B =( 1,4 ), C =( 1,5 )
A =( 2,0 ), B =( 4,1 ), C =( 5,1 )
Question 9:   Find the coordinates of the triangle rotated by 90° about the origin and enlarged by a factor of 2 :
A =( 1,1 ), B =( 8,4 ), C =( 4,8 )
A =( 2,2 ), B =( 4,2 ), C =( 2,4 )
A =( 2,2 ), B =( 8,2 ), C =( 2,4 )
A =( 2,2 ), B =( 8,4 ), C =( 4,8 )
Question 10:   Find the coordinates of the triangle ABC rotated by 180° about the origin and enlarged by a factor of 1 3 :
A =( 2,1 ), B =( 1,2 ), C =( 3,3 )
A =( 1,2 ), B =( 2,1 ), C =( 3,3 )
A =( 1,2 ), B =( 2,2 ), C =( 3,2 )
A =( 1,2 ), B =( 2,1 ), C =( 3,3 )