1. Create points [code]O=(0,0)[/code], [code]P=(1,2)[/code], [code]Q=(5,2)[/code], and [code]R=(4,4)[/code] by using the [i]Input Bar[/i].[br]2. Showing the label of each points by using [i]Style Bar[/i].[br]3. Choose the [i]"Name and Value"[/i] option when showing the label. [br]4. Create a triangle [code]PQR[/code] by using [i]Polygon Tool[/i].[br]5. Create slider with the value is [code]angle[/code], the name is [code]a[/code], and the increment is [math]45^\circ[/math] by using [i]Slider Tool[/i].[br]6. Rotate the triangle [code]PQR[/code] to the origin point [code]O(0,0)[/code] as center of rotation using the [i]Rotate around Point Tool[/i].[br]7. Enter [code]a[/code] as the angle of rotation and select [i]counterclockwise[/i].[br]8. Repeat steps 6 and 7, but select [i]clockwise[/i].[br]9. Explore, consider the coordinates of each point and its shadow, then complete the following table (on the Companion Answer Sheet).
Based on your activities and observations in the table above, what is the formula to get the shadow coordinates of a point rotated [math]90^\circ[/math] to the origin point [code]O(0,0)[/code] counterclockwise and clockwise? what is the formula to get the shadow coordinates of a point rotated [math]180^\circ[/math] to the origin point [code]O(0,0)[/code] counterclockwise and clockwise?