Congruent Figures

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in form and size. They can be superimposed on each other, meaning all corresponding sides and angles are equal.

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What is the SAS Postulate?

Back

The SAS (Side-Angle-Side) Postulate states that if two sides and the included 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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Back

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Front

What additional information is needed to apply the SAS Postulate?

Back

You need to know that the included angle between the two sides is congruent.

Front

What is the relationship between corresponding angles in congruent figures?

Back

Corresponding angles in congruent figures are equal.

Front

What is the relationship between corresponding sides in congruent figures?

Back

Corresponding sides in congruent figures are equal in length.

Front

If two triangles have two pairs of congruent sides and one pair of congruent angles, what can be concluded?

Back

The two triangles are congruent by the SAS Postulate.

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Front

What is the significance of congruence in geometry?

Back

Congruence is significant in geometry as it allows for the comparison of shapes and the establishment of equality in dimensions and angles.