Congruent Triangles Review

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

List the triangle congruence criteria.

Back

The triangle congruence criteria are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and AAS (Angle-Angle-Side).

Front

Which triangle congruence criteria is NOT valid?

Back

SSA (Side-Side-Angle) is not a valid triangle congruence criterion.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, meaning 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, meaning 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, meaning 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, meaning if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, the triangles are congruent.

Front

If ∆ABC ≅ ∆DEF, what can we conclude about the corresponding angles and sides?

Back

The corresponding angles are equal (∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F) and the corresponding sides are equal (AB = DE, BC = EF, AC = DF).

Front

Can two triangles be proven congruent if only two sides are known?

Back

No, two triangles cannot be proven congruent with only two sides known unless the included angle is also known (SAS).

Front

What is the significance of the congruence symbol (≅)?

Back

The congruence symbol (≅) indicates that two geometric figures are congruent, meaning they have the same shape and size.