Notes
Outline
Chapter 5
Name the following segment:
altitude
Name the following segment:
perpendicular bisector
Name the following segment:
median
Match the following:
____ 1. Perpendicular          a.  Orthocenter
             Bisectors
____ 2. Medians                   b.  Circumcenter
____ 3. Angle
             Bisectors                  c.  Centroid
____ 4. Altitudes
                                              d.  Incenter
1- b
2- c
3- d
4- a
Medians are drawn:
AC = 10
CX = 2
Slide 12
Slide 13
The center of a triangle’s 9-point circle is the midpoint of the ____________.
The center of a triangle’s 9-point circle is the midpoint of the
Euler line.
The Euler line connects the __________ and the _________.
The Euler line connects the circumcenter and the orthocenter.
Two sides of a triangle have lengths 5 and 8. The third side must be greater than ____
but less than ____
Two sides of a triangle have lengths 5 and 8. The third side must be greater than 3 (difference)
but less than 13 (sum).
Can a triangle be formed with the
     following segment lengths?

a)  2, 5, 2

b)  8, 6, 7
            a)  No  (2 + 2 > 5)
      b) Yes  (6 + 7 > 8)
Use m    1, m    2, m    3
to complete:
m    2  > m     1 > m     3
Slide 24
Slide 25
Slide 26
Slide 27
Write an indirect proof:
Given:  John drives 120 miles in 2 hours
Prove:   John exceeded the 55 mph speed limit
Assume temporarily that John did NOT exceed the 55 mph speed limit. In 2 hours, John would travel 110 miles. But this contradicts the fact that he drove 120 miles (from the given) so our assumption was false and John DID exceed the 55 mph speed limit… bad John!
Mixed Review:
                   Simplify
Slide 31
Mixed Review:
  Simplify using positive exponents:
(-2 x 4) -3
-1
8 x 12
Mixed Review:
Simplify:
(2.0 x 104) (6.0 x 10-3)
(2.0 x 104) (6.0 x 10-3)

=  12.0 x 10 1

 = 1.2 x 102