2.5. Proofs about Angle Pairs and Segments http://www.ck12.org
Solution:
TABLE2.23:
Statement Reason1.^61 ∼=^6 2 and^63 ∼=^64 Given
2.^62 ∼=^63 Vertical Angles Theorem
3.^61 ∼=^64 Transitive PoC
Know What? RevisitedIfm^62 = 50 ◦, then
m^63 = 50 ◦. Draw a perpendicular line at the point of reflection and the laws of reflection state that the angle of
incidence is equal to the angle of reflection. So, this is a case of the Same Angles Complements Theorem.^62 ∼=^63
because the angle of incidence and the angle of reflection are equal. We can also use this to findm^6 4, which is 56◦.
Review Questions
Write a two-column proof for questions 1-10.
1.Given:AC⊥BDand^61 ∼=^64 Prove:^62 ∼=^632.Given:^6 MLN∼=^6 OLPProve:^6 MLO∼=^6 NLP