Kar, A Applet
Parallel Lines and Transversals
Part 1:
1. Draw two lines that are parallel to each other
2. Examinie the interior and exterior angles
3. Drag points and examine how the angles change
Part 2:
(Use the Geogebra sketch below to explore further)
1. a) Choose angles a and b. Drag the vertices, what do you notice
b) Choose angles c and d. Drag the vertices, what do you notice
c) Choose angles g and e. Drag the vertices, what do you notice
d) Choose angles h and f. Drag the vertices, what do you notice
Generalize your findings (Hint: Interior Angles)
2. a) Choose angles h and b. Drag the vertices, what do you notice
b) Choose angles d and g. Drag the vertices, what do you notice
Generalize your findings (Hint: Alternate interior angles)
3. Choose angles b and g. Drag the vertices, find the sum of angles, what do you notice
Generalize your findings (Hint: Consecutive interior angles)
(Use the Geogebra sketch below to explore further)
1. a) Choose angles a and b. Drag the vertices, what do you notice
b) Choose angles c and d. Drag the vertices, what do you notice
c) Choose angles g and e. Drag the vertices, what do you notice
d) Choose angles h and f. Drag the vertices, what do you notice
Generalize your findings (Hint: Interior Angles)
2. a) Choose angles h and b. Drag the vertices, what do you notice
b) Choose angles d and g. Drag the vertices, what do you notice
Generalize your findings (Hint: Alternate interior angles)
3. Choose angles b and g. Drag the vertices, find the sum of angles, what do you notice
Generalize your findings (Hint: Consecutive interior angles)