Chapter 2 quiz 1: Conditional statements and logic

Find the next term in the sequence.

-4, -1, 2, 5, 8, ...

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

If a number is odd, then it is divisible by 5.

• true

• false

If two angles are congruent, then they have the same measure.

• true

• false

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

Given the following conditional statement, find the hypothesis.

If a person is sixteen years old, then he is eligible to drive.

• a person is sixteen years old

• he is eligible to drive

Find the converse of the following conditional statement: If a figure is a rectangle, then it has four sides.

• If a figure is not a rectangle, then it does not have four sides.

• If a figure does not have four sides, then it is not a rectangle.

• If a figure has four sides, then it is a rectangle.

• If a figure is a square, then it is a rectangle.

Using the Law of Syllogism, write a new conditional statement that follows from the pair of true statements.

If you study, then you will pass the test. If you pass the test, then you will pass the class.

• If you study, then you will pass the class.

• If you pass the class, then you will pass the test.

• If you passed the test, then you studied.

• If you study, then you will pass the test.

The statement "An angle is a right angle if and only if its measure is 90 degrees." is an example of what type of statement?

• conditional

• conjecture 

• biconditional

• contrapositive

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is a counterexample of this statement?

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

• A rectangle is also a quadrilateral.

• An octagon is also a polygon.

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

Tags

CCSS.HSG.CO.A.1

Using a Law of Logic, what valid conclusion can you make using the following statements?

If it is a jag day, then we have geometry. November 28th is a jag day.

• It is Wednesday.

• If we have geometry, it is a jag day.

• We have geometry on 11/28.

• 11/28 is a jag day.