Question

question 1 - 2
a proof is shown.
given: ( a parallel b ); and ( m ) is the transversal.
prove: ( angle 3 cong angle 5 )

Explanation:

Step1: Identify the given information

Lines \(a\parallel b\) and \(m\) is the transversal.

Step2: Use the property of corresponding angles

Since \(a\parallel b\) and \(m\) is the transversal, \(\angle1\cong\angle5\) (Corresponding angles are congruent).

Step3: Use the property of vertical angles

\(\angle3\cong\angle1\) (Vertical angles are congruent).

Step4: Use the transitive property of congruence

If \(\angle3\cong\angle1\) and \(\angle1\cong\angle5\), then \(\angle3\cong\angle5\) (Transitive property of congruence).

Answer:

1. Transitive property of congruence.