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1/27/11 Our Math Goal: To learn about geometric dilation. Copy your homework: page 444 Both Try Its
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1/27/11 Our Math Goal: To learn about geometric dilation. Copy your homework: page 444 Both Try Its Review for HSA: Esther wants to make a scale model of the 14-foot statue of King Kamehameha that is located in Hilo. For the model she plans to use a scale of ¾ inch for each foot of the statue. What should be the height of Esther’s model? Write your answer and show how you got your answer. ANSWER
Graphing Review Remember that the coordinates read as (x, y) (2,3) The x is for LEFT or RIGHT The y is for UP or DOWN
Geometric Dilations Remember that the point (2,3) reads as (x, y) If you dilate this point by a scale factor of 2… you multiply the x coordinate by 2 and the y coordinate by 2. (2x2, 3x2) to get the new point (4, 6)
Try it Together • The coordinates of a parallelogram are A (-8, 8), B (0, -8), C (0,0), and D (-8,0). • Graph and connect the dots. • Draw and label the new parallelogram A’B’C’D’ after a dilation by a scale factor of ½. • Is the dilation an enlargement or reduction?
Rachel already gave away all of her wallet-sized school pictures. She still has some smaller pictures, so she plans to enlarge them. She traced one of her smaller pictures on the grid shown below. • She wants to dilate her picture by a scale factor of 3 about the origin. What will be the coordinates of her enlarged picture?
HSA Problem – MakeUp Quiz • In the diagram below, right triangle RST was dilated with point O as the center of dilation to form right triangle R'S'T'. The area of right triangle R'S'T' is 54 square inches. Determine the scale factor that was used to dilate right triangle RST. Show or explain how you found your answer.
Carnegie Unit 4 • Take out your homework to be checked. • Get your laptop. Unit 4 has been assigned. • Study for your test on Monday.