Now you will attempt to copy your original triangle using one of its angles: Draw a line segment,
D
⁢
E
¯
, of any length anywhere on the coordinate plane, but not on top of ∆ABC.
Choose one of the angles on ∆ABC. From point D, create an angle of the same size as the angle you chose. Then draw a ray from D through the angle. You should now have an angle that is congruent to the angle you chose on ∆ABC.
Create a point anywhere outside the mouth, or opening, of the angle you created. The point will initially be named F by the tool, but you should rename it point G. Now draw a ray from E through G such that it intersects the first ray. Your creation should be a closed shape resembling a triangle.
Label the point of intersection of the two rays F, and draw ∆DEF by creating a polygon through points D, E, and F.
Click on point G, and move it around. By moving point G, you can change
∠
⁢
D
⁢
E
⁢
F
and
∠
⁢
E
⁢
F
⁢
D
, while keeping
∠
⁢
F
⁢
D
⁢
E
fixed.
Take a screenshot of your results for one position of G, save it, and insert the image in the space below.