Congruent Triangles Flashcard

Front

What does 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 does 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 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 AAS stand for in triangle congruence?

Back

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

Front

What does NEI stand for in triangle congruence?

Back

NEI stands for Not Enough Information, indicating that there is insufficient data to determine if the triangles are congruent.

Front

If ∆ABC ≅ ∆DEF, what can we conclude about their corresponding angles?

Back

If ∆ABC ≅ ∆DEF, then ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F.

Front

If two triangles have two pairs of equal angles, what can we conclude about the triangles?

Back

If two triangles have two pairs of equal angles, they are congruent by the AAS theorem.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles are significant because they have the same size and shape, allowing for the transfer of properties and measurements between them.

Front

How can you prove that two triangles are congruent using the SSS postulate?

Back

To prove two triangles are congruent using the SSS postulate, measure all three sides of both triangles and show that they are equal.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side to be known, while AAS does not require the included side to be known, only two angles and a non-included side.