Write the inverse and the contrapositive
1) If a polygon has ten vertices, then it is a decagon.
2) If I am strong, then I am not weak.
Identify the two statements that contradict each other.
I.
m∠1 + m∠2 = 180
II. ∠1 ≅ ∠2
III. ∠1 and ∠2 are complementary
List the angles of ∆ABC from smallest to largest.
4) AB = 8, BC = 5, AC = 12
If 2 and 8 are the sides of a triangle, what could be the
length of the third side? Name a positive side length
that can not be the length of the third side.
List the sides of the triangle in order from shortest to
longest.
m∠A = 45o, m∠B = 80o, m∠C = xo
Find the value of x.
Base = 6x - 4
Midsegment = 2x
Use indirect reasoning to explain why the following
statement is true: A triangle can have no more than
one right angle.
GM bisects ∠KGP,
MK⊥GK, and MP⊥GP
MK = 12x - 3, MP = 9x
Find the value of x.
Find the center of the circle that circumscribes ∆ABC.
I.
A(-3, 4), B(-3, 8), C(0, 8)
II. A(2, 0), B(6, 4), C(2, 6)
Points of Concurrency and Their Significance
⊥ bisectors
∠ bisectors
medians
altitudes
K is a point in the interior of∠ABC and is
equidistant from both sides of the angle. What can
you conclude about BK?
BK bisects ∠ABC. What can you conclude about
point K?
Coordinate Proof of the Triangle Midsegment Theorem