Parallel Lines and Transformations in a Parallelogram
- Author:
- Rachel Fruin
- Topic:
- Geometry, Straight Lines, Parallelogram
This lab uses transformations to show that angles are congruent in a parallelogram.
1) Using transformations, predict what angle is congruent to <ACB.
2) Click “Show Reflection of <ACB in BC.” Is <ACB <DCB?
3) Uncheck “Show Reflection of <ACB in BC.” Predict what transformation(s) map <ACB onto <DBC.
4) Click on “Show Translation” and “Show Rotation.”
5) Write a paragraph proof, using transformations proving that <ACB is congruent to <DBC.
6) <ACB and <DBC are alternate interior angles. Which parallel lines form these angles? Which line is the transversal?
7) Drag points A, C and B. Is <ACB is congruent to <DBC always true? Why or why not?