Reasoning With Algebra and Geometry

Identify the property of equality.
If 9=x, then x=9

• Reflexive Property of Equality

• Symmetric Property of Equality

• Symmetric Property of Congruence

• Reflexive Property of Congruence

Identify the property used here:
39=39

• Reflexive

• Symmetric

• Transitive

• Substitution

Simplify the expression with the distributive property
6(x + 3)

• 6x + 3

• 6x + 18

• x + 3

• 9x

If a = b, then a may be replaced by b in any expression.

• Transitive Property         

• Reflexive Property             

• Symmetric Property 

• Substitution Property

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid." What is the inverse of this statement?

• If the polygon is not a quadrilateral, then it is not a trapezoid.

• If the polygon is not a trapezoid, then it is not a quadrilateral.

• If the polygon is a trapezoid, then it is a quadrilateral.

• A rectangle is also a quadrilateral.

If angles are congruent, then the measures of the angles are equal. Identify the contrapositive.

• If the measures of the angles are equal, then the angles are congruent.

• If angles are not congruent, then the measures of the angles are not equal.

• If the measures of the angles are not equal, then the angles are not congruent.

• If the angles are not congruent, then the measure of the angles are equal.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid." What is the contrapositive of this statement?

• If a polygon is a trapezoid, then it is a quadrilateral.

• If a polygon is not a quadrilateral, then it is not a trapezoid.

• If a polygon is not a trapezoid, then it is not a quadrilateral.

• A rectangle is also a quadrilateral.

For any numbers a, b, and c, if a = b and b = c, then a = c.

• Transitive Property of Equality

• Symmetric Property of Equality

• Transitive Property of Congruence

• Symmetric Property of Congruence

For any number a, a = a.

• Reflexive Property of Congruence

• Reflexive Property of Equality

• Symmetric Property of Equality

• Substitution Property of Congruence

For any numbers a and b, if a = b, then b = a.

• Transitive Property         

• Reflexive Property 

• Symmetric Property   

• Substitution Property