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H Geometry 3.2 day 1.notebook 1 October 17, 2011 No Bellwork
H Geometry 3.2 day 1.notebook
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October 17, 2011
No Bellwork
H Geometry 3.2 day 1.notebook
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October 17, 2011
H Geometry 3.2 day 1.notebook
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October 17, 2011
Mastery ObjectiveYou will be able to:• Identify included angles and included sides• Apply triangle congruence postulates SSS, SAS, and ASA
Language Objective• Learn vocabulary related to congruent triangles
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3.2 day 1Three ways to prove triangles congruent
H Geometry 3.2 day 1.notebook
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October 17, 2011
Chapter 3 Overview: Triangle CongruenceAny triangle is defined by six measures (three sides, three angles). But you don't need to know all of them to show that two triangles are congruent. Various groups of three will do. Triangles are congruent if: • SSS (side side side)
All three corresponding sides are congruent. • SAS (side angle side)
A pair of corresponding sides and the included angle are congruent. • ASA (angle side angle)
A pair of corresponding angles and the included side are congruent. • AAS (angle angle side)
A pair of corresponding angles and a nonincluded side are congruent. • HL (hypotenuse leg of a right triangle)
Two right triangles are congruent if the hypotenuse and one leg are congruent.Case that will NOT work:• AAA (angle angle angle) : Will give similar triangles, not congruent triangles• SSA (side side angle) : Ambiguous case 2 different triangles are possible
Example:Name the additional congruent sides or angles needed to prove the triangles are congruent by the specified method.
H Geometry 3.2 day 1.notebook
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October 17, 2011
Example:Name the additional congruent sides or angles needed to prove the triangles are congruent by the specified method.
Example:Name the additional congruent sides or angles needed to prove the triangles are congruent by the specified method.
H Geometry 3.2 day 1.notebook
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October 17, 2011
Example:Using the tick mark for each pair of triangles, name the method (SSS, SAS, or ASA), if any, that can be used to prove the triangles are congruent.
Example:
H Geometry 3.2 day 1.notebook
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October 17, 2011
Example:
Example:
H Geometry 3.2 day 1.notebook
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October 17, 2011
Example:
H Geometry 3.2 day 1.notebook
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October 17, 2011
Homework:3.2 day 1 p.120 #110,1213
