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 the acronym 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 the acronym 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 the acronym 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 the acronym 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 corresponding sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence. It can lead to ambiguous cases where two different triangles can be formed.

Tags

CCSS.8.G.A.2

Front

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

Back

To determine if two triangles are congruent using AAS, check 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 is the significance of the congruence statement PRC?

Back

The congruence statement PRC indicates that triangle P is congruent to triangle R and triangle C, meaning their corresponding sides and angles are equal.

Tags

CCSS.HSG.CO.B.7

Front

What is the importance of corresponding parts in triangle congruence?

Back

Corresponding parts are crucial in triangle congruence as they ensure that the triangles are identical in shape and size, allowing for accurate comparisons.

Tags

CCSS.8.G.A.2

Front

Can two triangles be congruent if only one side is known?

Back

No, knowing only one side is not sufficient to determine triangle congruence; additional information about angles or other sides is needed.

Tags

CCSS.8.G.A.2