11-1 LESSON Dilations Practice For Problems 1-3, apply the dilation D to the polygon with the given vertices. Name the coordinates of the image points, and plot the preimage and the image. 1. D(x, y) - (0.75x, 0.75y) E ( -4 , 6 ) , F ( - 2 , 2 ) , G ( 4 , - 2 ) , H ( 4 , 4 ) E L _ . F L _ . G L. _ H L _ 4 -2 0 -21 2. D(x, y ) - (2( x + 2), 2(1 - 3)) J ( - 2 , 2 ) , K ( -4 , 1) , L ( 1 , 0 ) N 4 2 0 2 4 3. D( x , y) - = ( x - 1). = ( 1 + 2 ) ) X ( - 5 , - 5 ) , Y ( - 2 , 4 ) , Z ( 4 , 4 ) X ( _ , Y ( _ , Z' ( _ N To solve Problems 4-7, refer to your graphs for -4 Problems 1-3. 4. In Problem 1, find the lengths of H'G' and HG H'G'= _ HG . Write the ratio H'G' HG as a fraction in lowest terms What is the scale factor? 5. In Problem 2, find J'L' and JL in radical form. Write their ratio and simplify _In Problem 3, find the ratio of X'Y' and XY and simplify. 6. In Problem 1, if you drew EE', FF, GG', and HH', where would they intersect? This is the center of dilation. 7. Find the center of dilation for Problem 2