Let's Create!!!
Instructions:
1. Create the origin point
O=(0,0)
by using the Point Tool or Input Bar.
2. Enter the linear equation line_1: y=x
into the Input Bar.
3. Enter the linear equation line_2: y=–x
into the Input Bar.
4. Change the color of both lines with different colors by using the Style Bar.
5. Create points A=(2,1)
, B=(5,1)
, and C=(5,3)
by using the Point Tool.
6. Showing the label of each points by using Style Bar.
7. Choose the "Name and Value" option when showing the label.
8. Create a triangle ABC
by using Polygon Tool.
9. Reflect triangle ABC
to:
x-axis
y-axis
origin point O=(0,0)
line_1: y=x
line_2: y=–x
by using the Reflect about Line and Reflect about Point Tools.
10. Use the Text Tool to create dynamic text as information according to the point or axis of the reflection on each mirrored triangle.
11. Consider to the coordinates of each point and its shadow, then complete the table (on the Companion Answer Sheet).Conclusion
Based on your activities and observations in the table above, what is the formula to get the shadow coordinates of a point reflected on: