The $x ^ { \prime } y ^ { \prime }$

question 227

Multiple Choice

The $x ^ { \prime } y ^ { \prime }$ -coordinate system has been rotated $\theta$ degrees from the $x y$ -coordinate system.The coordinates of a point in the $x y$ -coordinate system are given.Find the coordinates of the point in the rotated coordinate system. $\theta = 45 ^ { \circ }$ , $( 10,10 )$

• A) \(( - 5 \sqrt { 2 } , 0 )\)
• B) \(( 5 \sqrt { 2 } , 0 )\)
• C) \(( - 10 \sqrt { 2 } , 0 )\)
• D) \(( 6 \sqrt { 2 } , 0 )\)
• E) \(( 10 \sqrt { 2 } , 0 )\)

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