Segment Proofs Practice

Front

What is the Substitution property in geometry?

Back

The Substitution property states that if two quantities are equal, one can be substituted for the other in any expression or equation.

Front

What does the Symmetric Property of Congruence state?

Back

The Symmetric Property of Congruence states that if one figure is congruent to another, then the second figure is congruent to the first. In symbols, if A ≅ B, then B ≅ A.

Front

Complete the statement with the symmetric property: If a = b then...

Back

b = a.

Front

What is the Transitive Property in geometry?

Back

The Transitive Property states that if one quantity is equal to a second quantity, and the second quantity is equal to a third quantity, then the first quantity is equal to the third. In symbols, if a = b and b = c, then a = c.

Front

Provide an example of the Transitive Property of Equality.

Back

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

Front

What is the Segment Addition Postulate?

Back

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

Front

What is the definition of congruent segments?

Back

Congruent segments are segments that have the same length.

Front

What is the difference between equality and congruence in geometry?

Back

Equality refers to the numerical value of segments or angles, while congruence refers to the geometric property that two figures have the same shape and size.

Front

What is the definition of a segment in geometry?

Back

A segment is a part of a line that is bounded by two distinct endpoints.

Front

What is the definition of a midpoint?

Back

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