501 Geometry Questions

(Jacob Rumans) #1

When a transversal is perpendicular to a pair of parallel lines, all eight
angles are congruent.


There are also exterior angles, same-side exterior angles, and alter-
nate exterior angles. They are positioned by the same common-sense
rules as the interior angles.
Two lines are parallel if any one of the following statements is true:



  1. A pair of alternate interior angles is congruent.

  2. A pair of alternate exterior angles is congruent.

  3. A pair of corresponding angles is congruent.

  4. A pair of same-side interior angles is supplementary.


1 2
4 3

5 6
8 7

∠ 1  ∠ 2  ∠ 3  ∠ 4
∠ 5  ∠ 6  ∠ 7  ∠ 8

m∠1 = m∠2 = m∠3 = m∠ 4
m∠5 = m∠6 = m∠ 7
m∠8 = 90

501 Geometry Questions
Free download pdf