Question

angles and parallel lines

• corresponding
• alternate interior
• alternate exterior
• transversal: line that goes through

multiple-choice question
pick the pair of corresponding angles
1 and 4
3 and 7
1 and 2
2 and 8

Explanation:

Corresponding angles are pairs of angles that lie in the same relative position (e.g., above a parallel line and to the left/right of the transversal) when a transversal intersects two parallel lines.

• 1 and 4 are adjacent interior angles, not corresponding.
• 3 and 7 are both interior angles, lying below the top parallel line and above the bottom parallel line, respectively, and on the left side of the transversal, matching the definition of corresponding angles.
• 1 and 2 are adjacent supplementary angles, not corresponding.
• 2 and 8 are alternate exterior angles, not corresponding.

Answer:

3 and 7