Geometry B Big Ideas 9.1
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Step 1
Use the information about rotation times to find the angle of rotation.
Suggestion
Use the information about rotation times to find the angle of rotation.
Suggestion
- Set up a proportion relating: 24 hours for a complete rotation (360 degrees) with the given amount of time of rotation and degrees rotated (call it angle "a" as shown in the diagram below). Then solve for angle "a" number of degrees.
- Convert all time values to minutes right away. Then work only with minutes, rather than both hours and minutes.
- If needed, review Lesson 7.1 on "Ratios and Proportions" starting on page 432 of the textbook.
Step 2
Once you have the angle of rotation "a", then solve for the x and y coordinates for P'. We say this as "p prime". Here's a diagram to help students who are stuck on the second step. You will need to set up and solve one trigonometry ratio to find x, and another trig ratio to find y.
Once you have the angle of rotation "a", then solve for the x and y coordinates for P'. We say this as "p prime". Here's a diagram to help students who are stuck on the second step. You will need to set up and solve one trigonometry ratio to find x, and another trig ratio to find y.
Step 3
Finally, for the translation rule, look on pages 548 and 549 of the textbook. Specifically look at Problem 4 and Problem 5 on these pages.
Finally, for the translation rule, look on pages 548 and 549 of the textbook. Specifically look at Problem 4 and Problem 5 on these pages.