Download Warm-Up Exercises

Warm-Up
Bell
WorkExercises
- Matching
A) Circumcenter
B) Incenter
C) Centroid
D) Orthocenter
1) Medians
2) Perpendicular
Bisectors
3) Angle Bisectors
4) Altitudes
a) Equidistant from
sides
b) Equidistant from
vertices
c) Distance to vertices is
2/3 of the distance from
the vertex to the
midpoint of the opposite
side
d) Nothing special about
distances
Warm-Up1Exercises
EXAMPLE
Relate side length and angle measure
Draw an obtuse scalene triangle. Find the largest
angle and longest side and mark them in red. Find
the smallest angle and shortest side and mark them
in blue. What do you notice?
Warm-Up
Exercises
Notes
Theorems
Theorem 5.10:
If one side of a triangle is longer than another side, then the
angle opposite the longer side is larger than the angle opposite
the shorter side.
Theorem 5.11:
If one angle of a triangle is larger than another angle, then the
side opposite the larger angle is longer than the side opposite
the shorter angle.
Warm-Up
Exercises
GUIDED
PRACTICE
1. List the sides of
longest.
for Examples 1 and 2
RST in order from shortest to
Warm-Up
Exercises
Notes
Theorem 5.10 Proof
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
2. There is a right triangle with sides that are 6, 8,
o
and 10 feet long and angles of 90 , about 37 , and
o
o
about 53 . Sketch and label a diagram with the
shortest side on the bottom and the right angle at
the left.
Warm-Up
Exercises
Notes
Theorems
Triangle Inequality Theorem
The sum of the lengths of any two sides of a triangle is greater
than the length of the third side.
Warm-Up3Exercises
EXAMPLE
Find possible side lengths
ALGEBRA
A triangle has one side of length 12 and another of
length 8. Describe the possible lengths of the third
side.
Warm-Up
Exercises
GUIDED
PRACTICE
for Example 3
3. A triangle has one side of 11 inches and another of 15
inches. Describe the possible lengths of the third side.
Warm-Up
Exercises
Daily
Homework
Quick
CheckQuiz
In Exercises 1 and 2, list the sides or angles in order
from least to greatest.
1.
Tell whether the side lengths can form a triangle.
2.
37 m, 35 m, 18 m
3.
3 ft, 3 ft, 6 ft
Warm-Up
Exercises
Daily
Homework
Quick
CheckQuiz
4.
Jeremy wants to build a triangular toy using sticks.
He has one stick that is 12 inches and another that
is 10 inches. What are the possible lengths of the
third side of the triangle?
Warm-Up
Exercises
For Tomorrow
Homework
HW: 5.5 (pg. 324-325) #10,14,16,24,35,39,44