Question
Scenario: Miniature Golf Transformations Instructions: View the video found on page 1 of this journal activity. Using the information provided in the video, answer the
Scenario:Miniature Golf TransformationsInstructions:
- View the video found on page 1 of this journal activity.
- Using the information provided in the video, answer the questions below.
- Show your work for all calculations
The Students' Conjectures:The students have instructions about moving buildings on a miniature golf course. They disagree about the transformation involved in moving Building 4. Complete the table to summarize what you know about each student's idea. (2 points: 1 point for each row of the chart)
Classmate | Conjecture |
---|---|
Tracy | |
Tom |
As you work through this activity, sketch the plan for the transformed buildings on the graph below.
Here are the owner's instructions:
- Building 1 (Circle): Rotate 270 degrees counter-clockwise around the origin.
- Building 2 (Square): Reflect across theyaxis.
- Building 3 (Triangle): Reflect across theyaxis, then translate 3 up and 2 to the left.
- Building 4 (L-Shape): The pointsA(3, 8),B(6, 8),C(6, 3), andD(5, 3) need to be transformed to pointsA''(-3, 1),B''(-6, 1),C''(-6, -4), andD''(-5, -4).
- Avoid the pond, which is an oval with an origin at (0, 0), a width of 4 units, and a height of 2 units.
Building 1 (Circle):1. Sketch the transformed position of Building 1 onto the map. (2 points)
2. If the hole of Building 1 is at the point (-5, 5), what are the new coordinates for the hole in the transformed Building 1? (2 points)
3. What other transformation would give the same final position for Building 1? (1 point)
Building 2 (Square) :4. Sketch the transformed position of Building 2 on the graph (2 points).
5. If the hole in Building 2 is at the coordinate (0, 3), what are the new coordinates for the hole in Building 2? (1 point)
Building 3 (Triangle):6. Sketch the transformed position of Building 3 on the map. (2 points)
7. If the hole in Building 3 is at point (-4 , -4), what are the new coordinates for the hole in Building 3? (2 points)
8. What problems do you see with the position of the transformed Building 3? (1 point)
Building 4: L-Shape :9. Sketch the transformed position of Building 4 on the map. (2 points)
10. What transformations need to happen to create Building 4''? (2 points)
Making a Decision:11. Who is correct, Tracy or Tom? (1 point)
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