Combine reasoning quiz

1. Write the following statement as a conditional statement:

A dog with proper training will not misbehave.

• If a dog has proper training, then it will not misbehave.

• If a dog does not behave, then it had proper training.

• A dog had proper training if and only if it will not misbehave.

What are the next two numbers in this pattern?

12, 17, 22, 27, ___, ___

• 33, 37

• 30, 37

• 32, 37

• 32, 35

Which number is a counterexample to the following statement? :

All numbers that are divisible by 2 are divisible by 4

• 0

• 12

• 28

• 42

Given, "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.

What is this mean?

• Conditional Statement

• Converse

• Inverse

• Contrapositive

Which two statements make up the following biconditionals: "A polygon is a triangle if and only if it has exactly 3 sides."

• 1. If a polygon is a triangle, then the polygon has exactly three sides. 2 If a polygon has exactly three sides then it is a triangle

• 1. If a polygon is not a triangle, then the polygon does not have three side. 2. If a polygon does not have three sides,then it is not a triangle.

• 1. A polygon is a triangle. 2. The polygon has three sides.

Which property justifies step 2?

• Addition Property of Equality

• Subtraction Property of Equality

• Combine Like Terms

• Division Property of Equality

Name the property of equality illustrated here.

• Addition Property of Equality

• Symmetric Property of Equality

• Distributive Property of Equality

• Transitive Property of Equality

Which statement is a good definition of a rectangle?

• A rectangle is a shape with four sides

• .A rectangle is a shape with two pairs of parallel sides.

• A rectangle is a parallelogram with four congruent sides.

• A rectangle is a quadrilateral with four congruent angles.

Which of the following completes the statement to form a valid conclusion?

If it is snowing heavily, then school will be canceled.

If school is canceled, the big test will not be given today.

It is snowing heavily, therefore...

• look out for the snowplows while driving to school.

• you should call the school to see if school is canceled.

• the roads will be hard to drive on.

• the big test will not be given today.