MORE
TRIANGLES
Chapter 5
Guess What we will learn about
1
Geometry Unit Properties of Triangles
Objectives:
Review:
Linear expressions
Absolute Values
Inequalities
Triangles
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IN CLASS
Algebra Review
Page 258
#’s 1, 3, 7, 12, 13, 22, 27, 29,
37, 49, 64, 66
Find the equation of the
line that is perpendicular to
the line y = 2/3(x) – 3 the
goes through the
coordinate (4, 6)
Page 256 #’s 1, 2, 4, 5, 6, 7
Unit 5 Lesson 1 Nov 29
DO NOW: Get out your
SUMMARY SHEET.
Given the coordinates
A= (3, 4) B= (8, 4)
What is the length of AB?
What is the Equation for AB?
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Geometry Unit Properties of Triangles
Unit 5 Lesson 1
HOMEWORK
Page 258:
#’s 2, 5, 9, 15, 16, 25,
27, 39,65
Find the equation of
the line that is parallel
to the line y = 2/3(x) – 3
the goes through the
coordinate (4, 6)
Page 256 #’s 1, 2, 4, 5,
6, 7
2
Objectives:
-Concurrency
-Median
-Altitude
-Perpendicular Bisectors
-Circumcenter
-Centroid
-Incenter
-Orthocenter
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IN CLASS
Perpendiculars and Bisectors
Page: 310 #’s 1, 2,3
Triangle Bisectors
Page 275 -276: #’s 6 – 18 even
Unit 5 Lesson 2 HOMEWORK
Triangle Bisectors
Page 275 -276: #’s 5 – 19 ODD
20- 22, 24 – 28
Honors 32 – 40
Geometry Unit Properties of Triangles
Unit 5 Lesson 2 Nov 30
DO NOW:
Page 268:
#9
Find and draw example
of 5 vocab words for 5.2
 Unit
5 Lesson 2
HOMEWORK
 Triangle Bisectors
 Page 275 -276:
 #’s 5 – 19 ODD
 20- 22, 24 – 28
 Honors 32 – 40
3
4
Unit 5 Lesson 2 Nov 30
Point of Concurrency
Intersection of three or more lines or line segments
Angle bisectors
intersect at the In-center
Median Centroid
Goes from the vertex to midpoint on
the opposite side of the triangle
Perpendicular Bisectors Circumcenter
A perpendicular line that divides a
segment in half
In-center
The point of concurrency that is
formed by the angle bisectors of a
triangle
Centroid
The center of gravity; the point of
concurrency that is formed by the
medians of a triangle
Altitude Orthocenter
Perpendicular line that goes
through the vertex to the opposite
side or the line containing the
opposite side
Circumcenter
The point of concurrency that is
formed by the perpendicular
bisectors of a triangle
Orthocenter
The point of concurrency that is
formed by the altitudes of a
triangle.
Geometry Unit Properties of Triangles
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5
Unit 5 Lesson 2 Nov 30
Geometry Unit Properties of Triangles
Objectives: 5.3
-Triangle Medians and Altitudes
-Be able to find ALL missing sides and
angles using centroids and
Orthocenters
CLASS
 Page 311
 #’s 6,7,8,9
 Page 282 – 284 :
 #’s 1 – 7 ALL
Unit 5 Lesson 3 Dec 3
DO NOW:
Page 310 # 4
 IN
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Geometry Unit Properties of Triangles
Unit 5 Lesson 3
HOMEWORK
Triangle Medians and
Altitudes
Page 311
#’s 6,7,8,9
Page 282 – 284 :
#’s 1 – 7 ALL
6
Objectives: 5.3
- Review
Unit 5 Lesson 4 Dec 4
DO NOW:
Find the coordinates of
the centroid if:
A=(0, 0)
B =(4, 10)
C =( 8, 2)
 IN
CLASS
 Page 310 – 311
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Create a summary sheet
 HANDOUT
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TEST your summary Sheet
Geometry Unit Properties of Triangles
 Unit
5 Lesson 4
HOMEWORK
 Complete handout
7
Objectives: 5.3
- Triangle Medians and Altitudes
- Review Distance Formula
- Review midpoint Formula
- Be able to find ALL
missing sides
and angles
using Centroids and Orthocenters
CLASS
 Page 282 – 284 :
 #’s 8 – 12 ALL
Unit 5 Lesson 5 Dec 6
DO NOW:
Find the coordinates of
the centroid if:
A=(0, 0)
B =(4, 10)
C =( 8, 2)
 IN
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Geometry Unit Properties of Triangles
Unit 5 Lesson 5
HOMEWORK
Triangle Medians and
Altitudes
Page 282 – 284 :
#’s 13 – 16 all
#’s 17 – 20 all
#’s 21, 22, 23l
39 – 45
HONORS: 35, 36
8
Objectives: 5.4
-Utilize Mid-Points to find
Mid-segments
-Create a Mid-segment Triangle
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CLASS:
Page 287 Example 1
Page 289 Example 4
Page 290 #’s 1 – 11 ALL
Geometry Unit Properties of Triangles
Unit 5 Lesson 6 Dec 7
DO NOW:
If A = (2, 0) B = (0, 2)
-Find the midpoint
between AB
-Find the Distance
between AB
 Unit
5 Lesson 6
HOMEWORK
 Page 290- 291:
 #’s 12 – 18 all, 21- 25 all
9
Objectives: 5.5
Finding the longest and shortest sides of a
Triangle
Triangle sides:
Side1 + Side2 > Missing
Side1 + Missing > Side2
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IN CLASS
Page 297 Example 3 / 4
Unit 5 Lesson 7 Dec 10
DO NOW: If A = ( 0, 0)
B= (10, 4) & C= (2,8)
Find the midsegment of
AC and BC
Do the line segments
4 , 7, 8 make a triangle?
-What are the possible
lengths of the missing side
of a triangle if two of the
sides are: 4 & 7?
Page 298- 299:
#’s 1 – 5 all
# 7 – 15 odd
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Geometry Unit Properties of Triangles
Unit 5 Lesson 7 HOMEWORK
Finding the longest and
shortest sides of a Triangle
Page 298- 299:
#’s 6 – 22 ALL
#’s 24 – 37 ALL
39 – 46 ODD
Honors 38
10
Unit 5 Lesson 8 Dec 12
Objectives:
Unit 5 Triangle
TEST REVIEW
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IN CLASS
Q page 293
#’s 39 – 49 odd, 50, 51, 53
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Page 313: #’s 1 – 13 ODD
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DO NOW:
What are the possible
lengths of a missing side
when 2 sides given are 8
& 9?
If A = ( 0, 0)
B= (10, 4) & C= (2,8)
Find the midsegment of
AC and BC
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Unit 5 Lesson 8 page 293
#’s 39 – 49 odd, 50, 51, 53
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Page 313: #’s 1 – 16 ALL
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HONORS: Indirect Proofs
Page 305 – 307:
#’s 7 – 27 ODD
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Geometry Unit Properties of Triangles
11
Objectives:
Unit 5 Triangle
TEST REVIEW
DO NOW:
 IN
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CLASS
Practice Test
Unit 5 Lesson 9 Dec 13
Geometry Unit Properties of Triangles
 Unit
5 Lesson 9
HOMEWORK
 Finalize Summary Sheet
12
Objectives:
Unit 5 assessment
 IN
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CLASS
TEST
Unit 5 Lesson 10 Jan 4
DO NOW: Test
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Geometry Unit Properties of Triangles
Unit 5 Lesson 10
HOMEWORK
Write out and define ALL 20
vocabulary words and terms
found in chapter 6 review
Page 382.
HOMEWORK
Write out and define ALL 13
vocabulary words and terms
found in chapter 9 review
Page 582
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