12.1-12.3 Review

IF 3...6...9...12...
AND 24...27...30...?
THEN the next term is going to be 33

• Inductive
• Deductive

Tags

CCSS.HSF.BF.A.2

IF All even numbers are divisible by 2
AND 28 is even
THEN 28 is divisible by 2

• Inductive
• Deductive

Tags

CCSS.HSS.IC.B.3

All observed houses on South Street have roofs that are falling apart.  Sherry lives on South Street.  Her roof is falling apart. 

• Deductive
• Inductive

Tags

CCSS.L.1.1D

CCSS.L.3.1A

Obtuse angles are between 90 degrees and 180 degrees. This angle is 110 degrees, so it is obtuse.

• Deductive

• Inductive

Tags

CCSS.4.G.A.1

Inductive Reasoning means...

• Guessing without any information

• Testing and observing patterns to make conjectures

• Drawing conclusions from situations based on facts and definitions

• Sounding knowledgeable even when you are not

Deductive reasoning means...

• Guessing without any information

• Sounding knowledgeable even when you are not

• Testing and observing patterns to make conjectures

• Drawing conclusions from situations based on facts and definitions

Tags

CCSS.L.11-12.6

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.11-12.2D

CCSS.W.9-10.2D

Conditional Statement: If a triangle has 3 congruent sides, then it's an equilateral triangle.

Identify the converse of this conditional statement:

• If a triangle does not have 3 congruent sides, then it's not an equilateral triangle.

• If a triangle is equilateral, then it has 3 congruent sides.

• If a triangle is not equilateral, then it does not have 3 congruent sides.

• If a triangle has 3 congruent sides, then it's not an equilateral triangle.

Conditional Statement: If a triangle has 3 congruent sides, then it's an equilateral triangle.

Identify the inverse of this conditional statement:

• If a triangle does not have 3 congruent sides, then it's not an equilateral triangle.

• If a triangle is equilateral, then it has 3 congruent sides.

• If a triangle is not equilateral, then it does not have 3 congruent sides.

• If a triangle has 3 congruent sides, then it's not an equilateral triangle.

Conditional Statement: If a triangle has 3 congruent sides, then it's an equilateral triangle.

Identify the contrapositive of this conditional statement:

• If a triangle does not have 3 congruent sides, then it's not an equilateral triangle.

• If a triangle is equilateral, then it has 3 congruent sides.

• If a triangle is not equilateral, then it does not have 3 congruent sides.

• If a triangle has 3 congruent sides, then it's not an equilateral triangle.

Conditional Statement: If an angle measures 30 degrees, then it's an acute angle.

Identify the inverse of this conditional statement:

• If an angle measures 30 degrees, then it's not an acute angle.

• If an angle does not measure 30 degrees, then it's not an acute angle.

• If an angle is not acute, then it does not measure 30 degrees.

• If an angle is acute, then it measures 30 degrees.