A. Use GeoGebra in the Web Links section to graph a triangle and two transformations as described below. You should submit a single image showing the original triangle specified in part A1 and the two transformations specified in parts A2 and A3 with all points labeled.

1. Graph the triangle with vertices A(4,4), B(3,6), and C(-2,2).

2. Graph the image ABC of ABC under the translation T_2,-4 (component vector (2,-4)).

3. Graph the image ABC of A'B'C' under a reflection about the line y = -2x - 3.

B. Use GeoGebra to graph a triangle and two transformations as described below. You should submit a single image showing the original triangle specified in part B1 and the two transformations specified in parts B2 and B3 with all points labeled.

1. Graph the triangle with vertices D(4,0), E(6,1), and F(3,2).

2. Graph the image DEF of DEF under a reflection about the line y= x.

3. Graph the image DEF of D'E'F' under a counterclockwise rotation about (1,1) by 180.

C. Use GeoGebra to graph a circle sector, and then calculate the area of the sector. You should submit a single image showing the original circle specified in part C1 and the sector in part C2.

1. Graph a circle with a radius between 15 units and 20 units. (You choose the radius length.)

2. Graph a sector within the circle in C1 with a degree between 95 and 145. (You choose the degree.)

3. Calculate the area of the sector analytically and explain your steps.

Note: The final value for the area of the circle sector may be provided as either an exact value or be rounded to the nearest hundredth.