Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

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 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 SSS stand for in triangle congruence?

Back

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

Front

What is the significance of corresponding parts in triangle congruence?

Back

Corresponding parts are the sides and angles of triangles that match in position and measure when two triangles are congruent.

Front

If triangle ABC is congruent to triangle DEF, what can we say about their corresponding sides and angles?

Back

If triangle ABC is congruent to triangle DEF, then AB = DE, BC = EF, AC = DF and angle A = angle D, angle B = angle E, angle C = angle F.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are identical in size and shape, while similarity means the triangles have the same shape but may differ in size.

Front

Can two triangles be congruent if they have two sides and a non-included angle equal?

Back

No, this is known as the SSA condition, which does not guarantee congruence.

Front

What is the criteria for proving triangle congruence using AAS?

Back

To prove triangle congruence using AAS, you need to show that two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.