Triangle Congruence SSS,SAS,AAS,ASA

Front

What does SSS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem stating 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 triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem stating that 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

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

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent by SSS.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

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 by SAS.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

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 by AAS.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

If two angles and the included side of one triangle are equal to two angles and the corresponding included side of another triangle, then the triangles are congruent by ASA.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the SSA condition in triangle congruence?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence; it can lead to ambiguous cases where two different triangles can be formed.

Tags

CCSS.8.G.A.2