Proofs Review Warm-Up

Front

What is the Symmetric Property in mathematics?

Back

The Symmetric Property states that if one quantity equals a second quantity, then the second quantity equals the first. For example, if a = b, then b = a.

Front

What does it mean for a point to be the midpoint of a segment?

Back

A point is the midpoint of a segment if it divides the segment into two equal parts.

Front

What is the Definition of Midpoint?

Back

The Definition of Midpoint states that if B is the midpoint of segment AC, then AB = BC.

Front

What is the Addition Property of Equality?

Back

The Addition Property of Equality states that if you add the same value to both sides of an equation, the two sides remain equal.

Front

What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c.

Front

How can you use the Symmetric Property in proofs?

Back

You can use the Symmetric Property to rearrange equations or statements to show that two expressions are equal.

Front

What is an example of using the Addition Property of Equality?

Back

If a = b, then a + c = b + c for any value of c.

Front

What is the significance of identifying midpoints in geometry?

Back

Identifying midpoints is crucial for proving congruence and for constructing bisectors in geometric figures.

Front

How does the Transitive Property apply to inequalities?

Back

The Transitive Property applies to inequalities in the same way as it does to equalities; if a < b and b < c, then a < c.

Front

What is the relationship between the Symmetric Property and congruence?

Back

The Symmetric Property is used in congruence to show that if one figure is congruent to another, then the second figure is congruent to the first.