Triangle Congruence Postulates

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What does the acronym ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does the acronym AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What does the acronym SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does the acronym SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the significance of the 'Not a postulate' answer in triangle congruence?

Back

'Not a postulate' indicates that the configuration or relationship described does not meet the criteria for any of the established triangle congruence postulates.

Front

How can you determine if two triangles are congruent using the ASA postulate?

Back

To determine if two triangles are congruent using the ASA postulate, check if two angles and the included side of one triangle are equal to the corresponding two angles and included side of the other triangle.

Front

How can you determine if two triangles are congruent using the AAS postulate?

Back

To determine if two triangles are congruent using the AAS postulate, check if two angles and a non-included side of one triangle are equal to the corresponding two angles and non-included side of the other triangle.

Front

How can you determine if two triangles are congruent using the SAS postulate?

Back

To determine if two triangles are congruent using the SAS postulate, check if two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of the other triangle.

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

To determine if two triangles are congruent using the SSS postulate, check if all three sides of one triangle are equal to all three sides of the other triangle.

Front

What is the relationship between triangle congruence and similarity?

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Triangle congruence means that two triangles are identical in shape and size, while similarity means that two triangles have the same shape but may differ in size.