Geometry: Partial Proofs with Congruent Triangles

Recall, that we do proofs in two columns. In the left-hand column we In the right-hand column we

Further recall, that the reason for the first statement is always ______ while the reason for each succeeding statement must be a _________, _________ or ________.

These are the definitions, postulates and theorems that we will use as reasons in our proofs.

DEFINITIONS: If two lines are perpendicular, then A midpoint of a segment is

DEFINITIONS: An angle bisector is Vertical angles are

DEFINITIONS: Alternate interior angles are Corresponding angles are

POSTULATES: Corresponding Angles Postulate: If two angles are corresponding angles, then Reflexive Postulate:

THEOREMS: Vertical Angle Theorem: If two angles are vertical angles, then Alternate Interior Angle Theorem: If two angles are alternate interior angles, then Right Angle Theorem: If two angles are right angles then,

In addition to the above definitions, postulates and theorems, you will use the four congruent shortcuts, _____, _____, _____, and _____, as your reason for why two triangles are congruent.

Examples: Complete each proof by supplying the missing statements and reasons.