Congruent Triangles

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What is the definition of a hypotenuse?

Back

The hypotenuse is the side opposite the right angle in a right triangle.

Front

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

Back

No, two triangles cannot be determined to be congruent with only one side known; additional information about angles or other sides is needed.

Front

What is the difference between congruent and similar triangles?

Back

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

Front

What is the purpose of triangle congruence postulates?

Back

Triangle congruence postulates are used to determine if two triangles are congruent based on specific criteria involving their sides and angles.

Front

What is the significance of the included angle in ASA?

Back

In ASA, the included angle is the angle between the two sides being compared; it is crucial for establishing congruence.

Front

What is the significance of the non-included side in AAS?

Back

In AAS, the non-included side is the side that is not between the two angles being compared; it helps establish congruence when combined with the two angles.

Front

What is the criteria for SSS postulate?

Back

The criteria for the SSS postulate is that all three sides of one triangle must be equal to all three sides of another triangle.