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Do this! \( \begin{array}{l}\text { 1. Complete each statement by filling- in each blank with the correct word/expression. } \\ \text { 1. The SAS Congruence Postulate states that } \\ \text { 2.The ASA Congruence Postulate states that } \\ \text { 3. In } \triangle G E O \text {, the included angle between GE and EO is }\end{array} \)

Ask by Vaughn Ortega. in the Philippines
Jan 21,2025

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Answer

1. The SAS Congruence Postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent. 2. The ASA Congruence Postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent. 3. In \( \triangle G E O \), the included angle between GE and EO is angle GEO.

Solution

Let's complete each statement based on the properties of triangles and the congruence postulates. 1. The SAS Congruence Postulate states that **if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.** 2. The ASA Congruence Postulate states that **if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.** 3. In \( \triangle G E O \), the included angle between GE and EO is **angle GEO.** These statements summarize the SAS and ASA congruence postulates and identify the included angle in triangle \( G E O \).

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The SAS Congruence Postulate states that if two sides of a triangle are equal in length to two sides of another triangle, and the included angle between those sides is also equal, then the triangles are congruent. The ASA Congruence Postulate states that if two angles of a triangle are equal to two angles of another triangle, and the included side between those angles is also equal, then the triangles are congruent. In \( \triangle G E O \), the included angle between GE and EO is \( \angle GEO \).

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