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Parallel and Perpendicular Lines

Parallel and Perpendicular Lines

Euclid's Parallel Postulate Exercises

Example 1

Express m∠F in terms of m∠Y.

Example 2

Out of the alternate interior angles theorem, the corresponding angles theorem, and the alternate exterior angles theorem, which one is disproved by the parallel postulate?

Example 3

What are the values of m and n?

Example 4

Are lines a and b parallel if p = 13 and q = 54?

Example 5

In what branch of geometry is the parallel postulate false?