Logic and reasoning

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.

The statement "an angle is a right angle if and only if its measure is 90^o" is an example of what type of statement?

• Conditional

• Conjecture

• Biconditional

Name the property of equality that the statement illustrates:

If XY = WV , then XY +5 = WV + 5.

• Addition

• Subtraction

• Substitution

• Distributive

Name the property of equality that the statement illustrates.

AB = AB

• Reflexive

• Symmetric

• Transitive

Classify this angle.

• Straight angle

• Obtuse angle

• Acute angle

• Right angle

Tags

CCSS.4.G.A.1

Classify the angle

• Straight angle

• Acute angle

• Obtuse angle

• Right angle

Tags

CCSS.4.G.A.1

Choose reason 2, 3 and 4. (In order)

Hint: Complete the entire table first !

• Reflexive property, Subtraction property and addition property.

• Subtraction property, substitution and reflexive property

• Subtraction property, addition property and division property

• Reflective property, addition property and division property

Fill in the blank to give a reason for the statement below. You may refer to the Properties of Equality shown.

If m∠1=m∠2 and m∠2=m∠3, then m∠1=m∠3

by the__________ property of equality.

• addition

• subtraction

• symmetric

• transitive

• multiplication

Tags

CCSS.HSG.CO.C.10

Identify the correct reason for each statement.

• Substitution postulate

• Definition of angle bisector

• Angle addition postulate

• Angle bisector theorem

Two intersecting lines are shown in the diagram.

What is the relationship between the two angles shown.

• Alternate interior angles

• Supplementary angles

• Complementary angles

• Vertical angles