Verified Answer :

Hagrid

The correct reason for number 3 is the Alternate Interior Angle. 

Alternate Interior Angles are a pair of angles on the alternate sides of a transversal and they are on the interior of two crossed lines. Another example of a pair of Alternate Interior Angles are angles ∠4 and ∠5.

lublana

Answer:

Step: 3 \(\angle 3\cong\angle 6\)

Reason:Alternate interior angles theorem.

Step-by-step explanation:

We are given that

\(a\parallel b\) and both lines are cut by transversal t.

We have to find third step in proof.

Proof:

Step 1:\(a\parallel b\)

Reason :Given

Step 2:\(\angle 2\cong\angle 3\)

Reason: Verticale angles theorem.

Step: 3 \(\angle 3\cong\angle 6\)

Reason:Alternate interior angles theorem.

Step 4:\(\angle 2\cong\angle 6\)

Reason: Transitive property of congruence

Step 5:\(\angle 6\cong\angle 7\)

Reason:Vertical angles theorem

Step 6:\(\angle 2\cong\angle 7\)

Reason:Transitive property of congruence.

Hence, proved

Related Questions