Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are considered congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does AAS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a rule used to prove that two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a rule used to prove that two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a rule used to prove that two triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

If ∆ABC ≅ ∆XYZ, what can we conclude about the sides?

Back

If ∆ABC ≅ ∆XYZ, then AB ≅ XY, BC ≅ YZ, and AC ≅ XZ.

Tags

CCSS.8.G.A.2

Front

If two triangles have two pairs of congruent angles, what can be said about the triangles?

Back

If two triangles have two pairs of congruent angles, the triangles are congruent by the AAS or ASA postulate.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the congruence symbol (≅)?

Back

The congruence symbol (≅) indicates that two geometric figures, such as triangles, are congruent, meaning they have the same shape and size.

Tags

CCSS.8.G.A.2

Front

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

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that triangles are the same size and shape, while similarity means that triangles have the same shape but may be different sizes.

Tags

CCSS.8.G.A.2