Download 111912 Geometry Unit 4 Triangles

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Transcript
Classifying Triangles 11/19/12
Geometry: Unit 4 Triangles
SLO: I can classify triangles based on their properties.
Today is a GREAT day to think mathematically! Let’s get organized first. 
TABLE OF CONTENTS:
11/19 Classifying Triangles
NEW NOTEBOOK PAGE:
11/19 Classifying Triangles – Name
SLO: I can classify triangles based on their properties.
Assignment Sheet: 11/19 CW: Classifying Triangles Due 11/19
11/19 HW: Classifying Triangles 11/20
DO NOW SHEET:
Name, Date, Period, and write the converse, inverse, & contrapositive of the statement:
“If an angle is bisected, then the angle is divided into 2 congruent angles”
LESSON: (Record all work in your notebook.)
Notes (Copy into your notebook and draw a box around them)
Vocabulary: All definitions are biconditional which means that the conditional statement and converse are both true.
These are usually written as: “(hypothesis) IF-AND-ONLY-IF (conclusion)” and the flowchart has a two-way arrow.
Equiangular triangle
Given
Example: A triangle
is an acute triangle
IF-AND-ONLY-IF it has
three acute angles.
Three congruent acute
angles
Def. equiangular triangle
Right triangle
Given
One right angle
Def. right triangle
Obtuse triangle
Given
One obtuse angle
Def. obtuse triangle
Acute triangle
Given
Three acute angles
Def. acute triangle
Equilateral triangle
Isosceles triangle
Given
Given
Three congruent sides
Def. equilateral triangle
At least 2 congruent
sides
Def. isosceles triangle
Scalene triangle
Given
No equal sides
Def. scalene triangle
Classifying Triangles 11/19/12
Geometry: Unit 4 Triangles
SLO: I can classify triangles based on their properties.
CW: In your notebook:
Classify each triangle as one of the 7 types of triangles from the notes.
1.
2.
3.
4. JML
JMK
JLK
Classify each triangle as one of the 7 types of triangles from the notes. Use the relationship to write an equation and solve for x.
5.
6.
7.
 HOMEWORK: Problems under “Thursday 11/15” on the homework sheet.
BACK OF DO NOW SHEET: Today my level of understanding is
Identify each type of triangle.
(1)
DGE
DGF
EGF
 because _____
(2)
DFE
DFG
EFG
H