3.4.3 Journal: Transformations
Geometry Sem 2 (S2667506)
Points possible: 20
Scenario: Miniature Golf Transformations
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)
Thinks the new building will be a reflection and then a translation Tom
Thinks new building is a double refelction
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 the y axis.
Building 3 (Triangle): Reflect across the y axis, then translate 3 up and 2 to the left. Building 4 (L-Shape) : The points A (3, 8), B (6, 8), C (6, 3), and D (5, 3) need to be transformed to points A’’ (–3, 1), B’’ (–6, 1), C’’ (–6, –4), and D’’ (–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) 270 degrees clockwise
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),...
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