Name ____________________________________________ Date_______________ Introduction to Geometry - Transformations and Constructions Examining and Using Dilations - Part 2 Independent Practice 1. Suppose is on a coordinate plane located at (3, 5) and (1, 1). Under a dilation centered at the origin, becomes with coordinates (12, 20) and (4, 4). What is the scale factor for this dilation? 2. Suppose is on a coordinate plane located at (5, 2) and (1, 4). Under a dilation centered at (3, 2), becomes with coordinates (1, 2) and (2, 3). What is the scale factor for this dilation? 3. Suppose is on a coordinate plane located at (6, 2) and (2, 6). Under a 3 dilation of scale factor , becomes with coordinates 4 7 3 , . Where is the center of dilation located at? 2 2 3 1 , and 2 2 A 0, 0 B 2, 2 C 4, 0 D (4, 4) 4. Line is mapped onto the line by a dilation centered at the origin with a scale factor of 4. The equation of line is 6 3 = 12. What is the equation for line ? www.MathNation.com Section 2 Topic 4 5. has coordinates 15, 5 and 0, 10 . Find the coordinates of after a dilation with a scale factor of 3 > centered at the origin. 6. has coordinates 6, 1 and 1, 7 . Find the coordinates of after a dilation with a scale factor of 3 centered at (1, 1). 7. has coordinates 1, 3 and 12, 6 , and it is the result of the dilation of centered at the origin. The coordinates of are 13 , 1 and 4, 2 . Complete the following algebraic description so that it represents the transformation of . , ( , ) 8. has coordinates 8, 2 and 4, 12 . Determine the coordinates of if (, ) 1 1 , and describe the transformation from to . 2 2 9. Suppose the line represented by = + 3 is transformed into = 2 1 + 3. Part A: Describe the transformation from () to (). Part B: What is the -coordinate of (0)? www.MathNation.com Section 2 Topic 4 10. Consider the following graphs and describe the transformations illustrated in each graph. Graph A Graph B www.MathNation.com Section 2 Topic 4