Question

parallel lines s and t are cut by a transversal r.
which angles are corresponding angles?
$\angle3$ and $\angle7$
$\angle1$ and $\angle7$
$\angle4$ and $\angle6$
$\angle1$ and $\angle8$

Explanation:

Corresponding angles are pairs of angles that lie on the same side of the transversal, and on the same side of the parallel lines (one above, one below the respective parallel lines).

• $\angle3$ is above line $t$ and right of transversal $r$; $\angle7$ is below line $t$ and right of transversal $r$: they match the definition.
• $\angle1$ is above line $s$ and left of $r$; $\angle7$ is below line $t$ and right of $r$: not corresponding.
• $\angle4$ is below line $s$ and left of $r$; $\angle6$ is above line $t$ and right of $r$: these are alternate interior angles, not corresponding.
• $\angle1$ is above line $s$ and left of $r$; $\angle8$ is below line $t$ and left of $r$: not corresponding.

Answer:

$\angle3$ and $\angle7$