Segment and Angle Proofs

Front

What is a segment bisector?

Back

A segment bisector is a point, line, or ray that divides a segment into two equal parts.

Front

If line l bisects segment \overline{PR}, what can we conclude?

Back

\overline{PQ} \cong \overline{QR} (Definition of segment bisector)

Front

What does it mean if two lines are perpendicular?

Back

If two lines are perpendicular, they intersect to form a right angle (90 degrees).

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal lengths.

Front

What is the Symmetric Property of Segment Congruence?

Back

If \overline{AB} \cong \overline{CD}, then \overline{CD} \cong \overline{AB}.

Front

What can we conclude if M is the midpoint of \overline{AB}?

Back

\overline{AM} \cong \overline{MB}.

Front

What is the Reflexive Property of Segment Congruence?

Back

For any segment \overline{PQ}, \overline{PQ} \cong \overline{PQ}.

Front

What is the Transitive Property of Segment Congruence?

Back

If \overline{AB} \cong \overline{CD} and \overline{CD} \cong \overline{EF}, then \overline{AB} \cong \overline{EF}.

Front

What is the definition of a right angle?

Back

A right angle is an angle that measures exactly 90 degrees.

Front

If \overline{AB} \cong \overline{CD}, what can we say about their lengths?

Back

The lengths of \overline{AB} and \overline{CD} are equal.