Geometry 4.3-4.4 Formative Triangle Congruence

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, meaning they have the same shape and size.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if their corresponding sides and angles are equal.

Front

List the criteria for triangle congruence. (e.g., SSS, SAS, etc.)

Back

1. SSS (Side-Side-Side) 2. SAS (Side-Angle-Side) 3. ASA (Angle-Side-Angle) 4. AAS (Angle-Angle-Side) 5. HL (Hypotenuse-Leg for right triangles)

Front

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

Back

The corresponding sides of triangle ABC and triangle DEF are equal in length.

Front

If BCDE ≅ OPQR, what is the corresponding side to DE?

Back

The corresponding side to DE is PQ.

Front

What is the significance of corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal, which helps in proving triangle congruence.

Front

How can you determine if two triangles are congruent using the SAS criterion?

Back

If two sides of one triangle are equal to two sides of another triangle, and the angle between those sides is equal, then the triangles are congruent.

Front

What is the Angle-Angle-Side (AAS) criterion for triangle congruence?

Back

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, then the triangles are congruent.

Front

What does the term 'corresponding parts' refer to in triangle congruence?

Back

'Corresponding parts' refer to the sides and angles of congruent triangles that match each other.

Front

If two triangles are congruent, what can be said about their areas?

Back

If two triangles are congruent, their areas are equal.