Question

Need help asap. Consider the diagram.

Given that r||s and q is a transversal, we know that by the [________].

Answer 1

Question:

Given that r||s and q is a transversal, we know that by the [________].

Answer:

alternate interior angles theorem

Answer 2

alternate interior angles theorem

Step-by-step explanation

According to the alternate interior angles theorem, when two parallel lines are are intercepted by a straight line (transversal) the angles in the interior corners of a Z-shape pattern are congruent.

From the above diagram line r is parallel to line s, therefore

`\angle \: 3 \cong \angle6`

and

`\angle \: 4\cong \angle5`

because they are alternate interior angles.

See attachment for how to spot alternate interior angles.