Parallel Lines: Identifying Corresponding Angles α, β, γ, and δ

Think of it as matching corners! Corresponding angles are in the same relative position - if one is top-right of its intersection, its corresponding angle is also top-right of the other intersection.

$\alpha$ and $\beta$ are both on the right side of the transversal and in the upper position relative to their parallel lines. $\alpha$ and $\gamma$ are on the same line, making them adjacent angles, not corresponding.

Only when the lines are parallel! If the lines aren't parallel, corresponding angles are generally not equal. The equality of corresponding angles is actually a key property that helps us identify parallel lines.

Corresponding angles are on the same side of the transversal, while alternate angles are on opposite sides. Both types are equal when lines are parallel, but they're in different positions!

Absolutely! Since corresponding angles are equal when lines are parallel, you can set up equations like $\alpha = \beta$ to find missing angle measures.