Segment Proofs

Front

What is the Segment Addition Postulate?

Back

If point B is between points A and C, then AB + BC = AC.

Front

Define the Definition of Midpoint.

Back

A point that divides a segment into two equal parts.

Front

What does the Definition of Congruent Segments state?

Back

Two segments are congruent if they have the same length.

Front

Explain the Substitution Property.

Back

If two quantities are equal, one can be substituted for the other in any expression.

Front

What is the Transitive Property?

Back

If a = b and b = c, then a = c.

Front

Provide an example of the Transitive Property.

Back

If x = 5 and x = y, then y = 5.

Front

What is the significance of a midpoint in geometry?

Back

It indicates that the two segments created are equal in length.

Front

How do you express that two segments are congruent?

Back

Front

What is the formula for finding the length of a segment given its endpoints A(x1, y1) and B(x2, y2)?

Back

Front

What does the Segment Addition Postulate imply about segment lengths?

Back

The total length of a segment is the sum of the lengths of its parts.