Problem

Q If figure EFGHI is rotated \( 270^{\circ} \) counter-clockwise about the origin, What would be the resulting coordinate of point \( F^{\prime} \) ?
(A) \( (-3,-5) \)
(B) \( (-5,-3) \)
(C) \( (5,3) \)
(D) \( (5,-3) \)
Q( If trapezoid QRST is dilated about the origin by a scale factor ( \( k \) ) of 2 , what is the resulting coordinate of point \( T^{\prime} \) ?
(A) \( (6,2) \)
(B) \( (-5,-4) \)
(C) \( (-6,-4) \)
(D) \( (-1,-4) \)

Answer

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Hide Steps

Answer

\(T^{\prime}(-6,-4) \)

Steps

Step 1 ：\(F(x,y) \rightarrow (-y, x) \rightarrow (x, -y) \)

Step 2 ：\(F^{\prime}(-3,-5) \)

Step 3 ：\(T(x,y) \rightarrow (2x, 2y) \)

Step 4 ：\(T^{\prime}(-6,-4) \)

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