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Published byRodney Victor Bridges Modified over 5 years ago
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Warm Up 1 (2.10.20140 Write a congruence statement
2. List all corresponding sides and angles using the following congruence statement
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Essential Question ( ) Use triangle congruence postulates and theorems to prove that triangles are congruent.
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We have 3 postulates that prove two triangle are congruent
We have 3 postulates that prove two triangle are congruent. Postulate: A statement we suggest or assume as true based on reasoning.
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If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.
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If two sides and the included (between) angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
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Non-example of SAS: Why can’t we use SAS to show these triangles are congruent?
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If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
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We now have the following:
SSS – side, side, side SAS – Side, Angle (between), Side ASA – Angle, Side (between), Angle
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Examples Which Theorem proves the Triangles are congruent? 1. SSS
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ASA, when you have 2 sets of corresponding angles congruent, you know the third set of corresponding angles are congruent. 2.
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3. SAS
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