Chapter 3 : Logical Reasoning

Determine which one is a statement.

• $3m\ \times2m=6m$

• A prime number has 2 factors.

• $x\ +\ y$

• Express 2300 in standard form.

• $x+2=3$

_________ factors of are factors of 6

• All

• Some

Tags

CCSS.4.OA.B.4

Premise 1 : All rhombuses are parallelgrams.

Premise 2 : __________________________________

Conclusion : A square is a parallelogram.

• A square not rhombus

• A square is a rhombus

• parallelograms is a square

• Parallelogram is not a square

Tags

CCSS.HSG.CO.C.11

Complete the premise in the following argument.

Premise 1 : If set P is a subset of set Q, then P ∩ Q = P.

Premise 2 : .........................................................................

Premise 3 : Set P is not a subset f set Q.

• P ⋃ Q = Q

• P ∩ Q = P

• P ∩ Q ≠ P

• P ⋃ Q ≠ P

state whether the following statement is true or false.

All polygons have five sides.

• True

• False

Tags

CCSS.2.G.A.1

choose two implications based on the following statement.

y > 3 if and only if 2y > 6

• If y > 3, then 2y > 6

• If y < 6 , then 2y > 6

• If 2y > 6, then y > 3

• If 2y > 6, then y < 6

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

What is the converse of this statement?

• 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.

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

• A rectangle is also a quadrilateral.

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.

Tags

CCSS.HSG.CO.A.1

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.

Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.

• Inductive

• Deductive

Tags

CCSS.4.OA.C.5