Module 8.3
median
a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.
theorem
a statement that you can prove is true using a series of logical steps.
conditional
If p, then q.
flow proof
uses boxes and arrows to show the structure of the proof.
scalene triangle
a triangle with no equal sides
midsegment
a segment that joins the midpoints of two sides of a triangle.
counterexample
an example that shows a conjecture to be false.
converse
If q, then p.
alternate exterior angles
lie on opposite sides of the transversal and outside the intersected lines.
isosceles triangle
a triangle with two equal sides
altitude
a perpendicular segment from a vertex to a line containing the opposite side.
conditional statement
a statement that can be written in the form "If p, then q." where p is the hypothesis and q is the conclusion.
inverse
If not p, then not q.
complementary angles
two angles whose measures have a sum of 90 degrees.
centroid
the point of concurrency of the three medians of a triangle.
centroid
the point of concurrency of the three medians of a triangle.
angle bisector
a ray that divides an angle into two angles that both have the same measure.
contrapositive
If not q, then not p.
supplementary angles
two angles whose measures have a sum of 180 degrees.
circumscribed circle
every vertex of the polygon lies on the circle.
orthocenter
the point of concurrency of the three altitudes of a triangle.
sides
the rays of an angle.
biconditional
p if and only if q
alternate interior angles
are nonadjacent angles that lie on opposite sides of the transversal between the intersected lines.
circumcenter
the point of concurrency of the three perpendicular bisectors of a triangle.