Download Unit D: Discovering and Proving Triangle Properties

Unit D: Discovering and Proving Triangle Properties (4.2 – 4.7)
□ I can use properties of isosceles triangles to solve problems.
□ I will find the measures of missing angles of an isosceles triangle.
□ I will find the measures of sides of an isosceles triangle given the perimeter.
□ I will determine if a triangle is isosceles by using information about the sides and angles.
□ I can explain special properties about triangles.
□ I will determine if three given sides lengths can form a triangle.
□ I will list the side lengths in order from least to greatest given angle measures.
□ I will list the angle measures in order from least to greatest given side lengths.
□ I will use the Triangle Exterior Angle Conjecture to find the measures of missing angles.
□ I can prove congruent triangles using congruence shortcuts.
□ I will name congruent triangles and recognize SSS, SAS, SAA, and ASA in congruent triangles.
□ I will use SSS, SAS, SAA, and ASA to prove triangle congruence.
□ I will fill-in missing statements and reasons to complete a two-column and flow-chart proof.
□ I will explain why SSA and AAA are not sufficient congruence shortcuts.
□ I will use CPCTC to complete a proof when appropriate.
Key Vocabulary and Concepts
adjacent interior angle
base
base angles
CPCTC
exterior angle
flowchart proof
included angle
included side
isosceles triangle
legs
reflexive
remote interior angle
two-column proof
vertex angle
Conjectures
Isosceles Triangle Conjecture
Converse of the Isosceles Triangle Conjecture
Triangle Inequality Conjecture
Side-Angle Inequality Conjecture
Triangle Exterior Angle Conjecture
SSS Congruence Conjecture
SAS Congruence Conjecture
ASA Congruence Conjecture
SAA Congruence Conjecture
Online Textbook
http://math.kendallhunt.com
classpass: elliott12
Class Website
http://mathwithelliott.pbworks.com
Turn Over for Online Resources →→→→→→
Online Resources
Isosceles Triangle Example Problem Video
http://www.khanacademy.org/math/geometry/triangles/v/another-isosceles-example-problem
Facts about Isosceles Triangles
http://www.ehow.com/info_8742463_isosceles-triangles.html
Isosceles Triangle Example (video):
http://www.youtube.com/watch?v=Tqh7RGWd480
Isosceles Triangle Examples:
http://www.freemathhelp.com/feliz-isosceles.html
Triangle Inequality Conjectures Examples
http://www.regentsprep.org/Regents/math/geometry/GP7/LTriIneq.htm
Triangle Inequality Conjecture Video
http://www.youtube.com/watch?v=OoLb_NnnKSQ
Triangle Exterior Angles Conjecture Examples
http://www.freemathhelp.com/feliz-exterior-triangle.html
Triangle Exterior Angles Conjecture Examples and Videos
http://www.onlinemathlearning.com/exterior-angles.html
Congruent Triangles and SSS Video
http://www.khanacademy.org/math/geometry/triangles/v/congruent-triangles-and-sss
Other Congruence Shortcuts Video
http://www.khanacademy.org/math/geometry/triangles/v/other-triangle-congruence-postulates
Explanation of Congruence Shortcuts Video
http://www.youtube.com/watch?v=TPL12Tk7L6U&safety_mode=true&persist_safety_mode=1&safe=active
Finding Congruent Triangles Video
http://www.khanacademy.org/math/geometry/triangles/v/finding-congruent-triangles
Recognizing Congruent Triangle Theorems Video
http://www.youtube.com/watch?v=NAhcmPS5k9g&feature=relmfu
Recognizing and Proving Congruent Triangles Video
http://www.youtube.com/watch?v=pZZADeU3khw&feature=related
CPCTC Video
http://www.youtube.com/watch?v=CgtYgvb0nHU
Videos Just For Fun 
CPCTC song
http://www.youtube.com/watch?v=_mlfSkRlhok
Triangle Congruence song parody
http://www.youtube.com/watch?v=hQYfCWakQ0&feature=related&safety_mode=true&persist_safety_mode=1&safe=active
Extension Exercises
Why SSA is not a congruence shortcut video
http://www.khanacademy.org/math/geometry/triangles/v/more-on-why-ssa-is-not-a-postulate