Question

.Given: I -L p, m L p. Write a flowchart proof to show that I II m.

Answer 1

1) Notice that angles 1 and 2 are alternate interior angles.

2) Since l⊥p, and m⊥p then

`\begin{gathered} \measuredangle1=90^(\circ). \\ \measuredangle2=90^(\circ). \end{gathered}`

3) Since ∡1=90 degrees and ∡2=90 degrees, using the transitive property we get that:

`\measuredangle1=\measuredangle2.`

4) Since the alternate interior angles are equal, then l║m.