The image presents two parallel lines, labeled $r$ and $s$, intersected by a transversal line $t$. Angles 1 and 2 are marked at the intersection points.

The question asks you to determine the relationship between angles 1 and 2 based on the lines and transversal provided.

Analysis:

• Since $r \parallel s$ and $t$ is a transversal, angles 1 and 2 are on opposite sides of the transversal and are between the parallel lines $r$ and $s$.
• Angles in this position are called alternate interior angles.
• For parallel lines, alternate interior angles are congruent, meaning they are equal in measure.

Conclusion:

The correct answer is: "Las rectas paralelas $r$ y $s$, con $t$ como transversal forman ángulos alternos internos iguales." (This translates to "The parallel lines $r$ and $s$, with $t$ as the transversal, form equal alternate interior angles.")

Would you like any further details or explanations? Here are five related questions you might find helpful:

1. What are the other angle pairs formed by a transversal intersecting parallel lines?
2. Can alternate exterior angles also be equal in such a configuration?
3. How can we prove that alternate interior angles are congruent when lines are parallel?
4. What happens to these angles if the lines $r$ and $s$ are not parallel?
5. How do corresponding angles compare to alternate interior angles?

Tip: When dealing with parallel lines and a transversal, always remember that both alternate interior and corresponding angles are congruent.