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Transcript
What should you be doing right now?
1. If you completed the extra credit
treasure map, please take that out!
2. Look at your Chapter 6 Test
on your desk……
3. Take out a piece of paper for
notes today!!
Announcements



Two Chapter 5 “Mini-Quizzes”
I will be collecting your homework
the day of the mini quizzes.
Unit 2 is your Final Exam
• Covers Chapters 4, 5, and 6


10 SCHOOL DAYS until Final Exam!!
Substitute Teacher Tomorrow 
5.3 Inequalities in One Triangle
Objectives:
•
•
Recognize and apply properties of
inequalities to the measures of the
angles of a triangle.
Recognize and apply properties of
inequalities to the relationships between
the angles and sides of a triangle.
Concept
Example 1
Example 2
Practice #1
A.
A.
B.
B.
C.
C.
D.
Practice #2
A.
A.
B.
B.
C.
C.
D.
65˚
7
5
80˚
8
20˚
75˚ 85˚
35˚
Concept
Example 3
What is the largest angle of the given triangle?
B
5
A
7
9
C
Practice #3
List the angles of ΔTVX in order
from smallest to largest.
A. X, T, V
B. X, V, T
C. V, T, X
D. T, V, X
Practice #4
List the sides from largest to
smallest.
110°
A. DE, EF, DF
B. EF, DE, DF
D
E
46°
F
C. DE, DF, EF
D. DF, DE, EF
5.5
Practice #5
A triangle is formed by three kitchen appliances as
shown in the figure. The distances shown are
measured in feet. What is wrong with the labels?
refrigerator
60°
10
6
70°
50°
range
8
sink
5.5
5.6 Inequalities in Two Triangles
Objectives:
•
•
Apply the Hinge Theorem or its converse
to make comparisons in two triangles.
Prove triangle relationships using the
Hinge Theorem or its converse.
Think about this…
Concept
Example 4
Complete the inequality (or equation):
Example 4
Complete the equation or inequality:
3) m<1 ___ m<2
4) MS ____ LS
5) m<1 ____ m<2
Practice #6
A. Compare the lengths of
FG and GH.
A. FG > GH
B. FG < GH
C. FG = GH
D. not enough information
Practice #7
B. Compare mJKM and mKML.
A. mJKM > mKML
B. mJKM < mKML
C. mJKM = mKML
D. not enough information
Practice #8
Meena and Rita are both flying kites in a field near their
houses. Both are using strings that are
10 meters long. Meena’s kite string is at an angle of 75°
with the ground. Rita’s kite string is at an angle of 65°
with the ground. If they are both standing at the same
elevation, which kite is higher in the air?
A. Meena’s kite
B. Rita’s kite
Homework
pg. 348 #8-10, 14-16, 20, 22, 45-46
pg. 376 # 13-16, 32-33
This will be due on Friday (the day of
your mini quiz)…..but I would it
tonight if I were you!
Warm Up
Use the Exterior Angle
Inequality Theorem to:
a) List the angles that are
greater than m<2
b) List the angles that are
less than m<5
c) List the angles that are
greater than m<8