Mathematical System: Congruence and Triangles

Flashcards covering definitions and properties related to congruence and triangle geometry.

Congruence

Having the same shape and size.

Reflexive Property of Congruence

If figure A is congruent to figure A.

Symmetric Property of Congruence

If figure A is congruent to figure B, then figure B is congruent to figure A.

Transitive Property of Congruence

If figure A is congruent to figure B and figure B is congruent to figure C, then figure A is congruent to figure C.

Triangle

A closed, two-dimensional shape with three straight sides.

Included Side

The segment connecting the vertices of two angles in a triangle.

Included Angle

The angle formed by two sides of a triangle.

Corresponding Parts of Congruent Triangles (CPCTC)

If two triangles are congruent, then their corresponding parts are congruent.

Triangle Sum Theorem

The sum of the three interior angles in a triangle is always 180°.

Congruent Triangles

Two triangles are congruent if all of their corresponding parts are congruent.