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) \( (-1,-4) \)
Solution
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 ：\(T^{\prime}(-6,-4) \)
