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.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a rule that states 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, the triangles are congruent.

Front

What is the significance of the congruency statement ∠F = ∠G?

Back

The congruency statement ∠F = ∠G indicates that angle F is congruent to angle G, meaning they have the same measure.

Front

Can triangles be congruent if only two sides are known?

Back

Not necessarily. If only two sides are known without the included angle, it may lead to the SSA condition, which does not guarantee congruence.

Front

What is the AAA condition in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which states that if three angles of one triangle are equal to three angles of another triangle, the triangles are similar but not necessarily congruent.

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles have the same size and shape (equal sides and angles), while similar triangles have the same shape but not necessarily the same size (proportional sides).

Front

If two triangles have sides of lengths 5, 12, and 13, are they congruent?

Back

Yes, if both triangles have sides of lengths 5, 12, and 13, they are congruent by the SSS rule.