Geometry Lesson 4.3.notebook
Transcript of Geometry Lesson 4.3.notebook
Geometry Lesson 4.3.notebook
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Bell Ringer
Find the measure of each numbered angle.
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Congruent Triangles
If two geometric figures have the same shape and size, they are congruent.
In congruent polygons, all the parts of one polygon are congruent to the corresponding parts of the other polygon. These corresponding parts include corresponding angles and corresponding sides.
Corresponding Angles:
Corresponding Sides:
Congruence Statement:
INVALID STATEMENT: Because corresponding parts do not match.
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Identify the corresponding congruent parts:
If two polygons are congruent, then their corresponding parts are congruent. For triangles we say Corresponding Parts of Congruent Triangles are Congruent, or to shorten it up, CPCTC.
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Third Angle Theorem If two angles of one triangle are congruent to two angles of a second triangle, then the third angles are also congruent.
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Given:
L bisects
Prove:
L bisects
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Properties of Triangle Congruence
Reflexive Property
Symmetric Property
Transitive Property
P. 257 920, 23, 24, 2830
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