The figure shows a transversal that intersects two parallel lines. None of the angles are right angles. ()) Complete the sentence. \( \angle 4 \) and \( \angle 8 \) are corresponding angles. What are all the angles in the figure that are congruent to \( \angle 2 \) ? \( \angle 1, \angle 7, \angle 8 \) \( \angle 3, \angle 5, \angle 8 \) \( \angle 3, \angle 6, \angle 7 \) \( \angle 4, \angle 6, \angle 8 \)

To determine which angles are congruent to \( \angle 2 \) when a transversal intersects two parallel lines, we can use the properties of corresponding angles, alternate interior angles, and same-side interior angles. Since \( \angle 2 \) is an interior angle and also corresponding to \( \angle 6 \) and alternate interior with \( \angle 4 \), this means that \( \angle 2 \) is congruent to both of those angles. Hence, the angles congruent to \( \angle 2 \) are \( \angle 6 \) and \( \angle 4 \). Playing with these properties can make for a great geometry-focused game night! You could challenge your friends to find pairs of congruent angles in different configurations of parallel lines and transversals. It's a fun way to cement your understanding of the concepts while being competitive!