Triangle Congruence Review

These flashcards cover key concepts, definitions, and theorems related to triangle congruence as reviewed in the geometry lecture.

What is a congruence statement in triangle congruence?

It identifies all pairs of congruent corresponding parts of triangles.

List the methods to prove triangles are congruent.

Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Angle (AAA), and Side-Angle-Angle (SAA).

How do you identify corresponding angles in congruent triangles?

Use the congruence statement to match angles; for example, if triangle ABC is congruent to triangle XYZ, then angle A corresponds to angle X.

What does CPCTC stand for?

Corresponding Parts of Congruent Triangles are Congruent.

How do you prove triangles ADC and BDC are congruent?

Two triangles butted up against each other share a congruent side; thus, they can be proven congruent using Side-Angle-Side (SAS) congruence.

What theorem states that all right angles are congruent?

Right Angle Congruence Theorem states that all right angles are congruent.

If one line bisects another, what can be concluded about the segments created?

The two segments created are congruent halves.

What does it mean for two angles to be vertical angles?

Vertical angles are opposite angles formed by the intersection of two lines and they are always congruent.

How does the Reflexive Property apply in proving triangles congruent?

It states that a segment or angle is congruent to itself, aiding in triangle congruence proofs.

What are the key attributes needed to apply Side-Angle-Side congruence?

Two sides and the angle between them must be congruent.