Question

In the following screenshot prove that line R and S are perpendicular with one of the fallowing Proofing methods the two-colmn method The Paragraph method or The flow chart method.

Answer 1

The prove, segment r is perpendicular to segment r. is achieved using transitive property and definition of perpendicular lines

How to complete the proof

The two column proof is written as follows

Statement Reason

q || r given

q ⊥ s given

∠ 3 = 90 deg definition of perpendicular lines

∠ 3 ≅ ∠ 2 corresponding angles are equal

∠ 2 = 90 deg transitive property

r ⊥ s definition of perpendicular lines