Triangle Congruence Remediation

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 SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', a theorem stating that 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 theorem stating that 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 theorem stating that 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 is the definition of corresponding parts in triangle congruence?

Back

Corresponding parts are the sides and angles of two triangles that are in the same relative position.

Front

If ∆MNO ≅ ∆PQR, what can be said about their corresponding angles?

Back

If ∆MNO ≅ ∆PQR, then ∠M ≅ ∠P, ∠N ≅ ∠Q, and ∠O ≅ ∠R.

Front

What is the importance of drawing a picture in triangle congruence problems?

Back

Drawing a picture helps visualize the triangles, making it easier to identify corresponding parts and apply congruence theorems.

Front

What is the relationship between the angles in congruent triangles?

Back

In congruent triangles, all corresponding angles are equal.

Front

What is the relationship between the sides in congruent triangles?

Back

In congruent triangles, all corresponding sides are equal.

Front

What is the definition of a congruence statement?

Back

A congruence statement is a mathematical statement that indicates two figures are congruent, such as ∆ABC ≅ ∆PQR.