Chapter 3: Angle Pairs & Perpendicular Lines Flashcards
Theorem 1: If two angles are complementary to the same angle or equal (congruent) angles,
then they are equal (congruent)
Complementary angles are
angles with measures that add to 90
Supplementary angles are
angles with measures that add up to 180
Theorem 2: If two angles are supplementary to the same angle or equal (congruent) angles,
then they are equal (congruent)
Adjacent angles are
are angles that have the same vertex, share a common side, and have no interior points in common
A Linear pair is
is two adjacent angles whose exterior sides form a straight line
Theorem 3: If two angles are in a linear pair,
then they are supplementary
Vertical angles are
a pair of nonadjacent angles formed by two interesting lines
Theorem 4: Pairs of vertical angles are
congruent (equal)
Perpendicular lines are
lines which intersect to form right angles
Theorem 5: Perpendicular lines intersect to form
four right angles
Theorem 6: All right angles are
congruent (equal)
A Perpendicular bisector is
perpendicular to a line segment and intersects the line segment at its midpoint
Theorem 7: Through a given point on a line, there exists
exactly one perpendicular to the given line
Postulate 5: Through any given point NOT on a line, there exists
exactly one perpendicular to the given line
