- ∠5 corresponds to ∠1 since it is in the same position in respect to
transversal n. ∠5 also corresponds to ∠13 since it is in the same
position in respect to transversal m. (Although they are in the same
relative position, ∠5 does not correspond to ∠9 since they share
no common line.) - ∠2 and ∠7 are alternate interior angles since they are inside the
parallel lines land mand on opposite sides of transversal n. ∠ 4
and ∠5 are also alternate interior angles since they are inside the
parallel lines land mand on opposite sides of transversal n. - ∠10 is congruent to ∠11 since they are vertical; ∠14 and ∠2 since
they are corresponding; ∠3 since it is congruent to ∠2; ∠15 since
they are alternate interior; and ∠6 and ∠7 since those are
corresponding and congruent to ∠2 and ∠3.
Set 13
- ✓. Only three congruent angle pairs can prove a pair of lines cut
by a transversal are parallel: alternate interior angles, alternate
exterior angles, and corresponding angles. Angles 5 and 4 are
alternate interior angles—notice the Z figure. - X.∠1 and ∠2 are adjacent angles. Their measurements combined
must equal 180°, but they do not determine parallel lines. - ✓. ∠9 and ∠16 are alternate exterior angles.
- X.∠12 and ∠15 are same side interior angles. Their congruence
does not determine parallel lines. When same side interior angles
are supplementary, then the lines are parallel. - ✓. ∠8 and ∠4 are corresponding angles.
501 Geometry Questions