Essentials of Geometry: Inductive and Deductive Reasoning and Properties of Equality

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.

Tags

CCSS.7.G.B.5

A way to reach a conclusion based on a pattern

• inductive reasoning

• deductive reasioning

• given statement

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

• Inductive

• Deductive

Tags

CCSS.HSS.ID.C.9

Reasoning based on specific examples to form general conclusions is called ______________ reasoning.

• Inductive

• Deductive

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?

• ∠A is complementary to ∠B

• ∠A is acute.

• ∠A is obtuse.

• ∠A is 40⁰

__________________________ uses facts to draw conclusions.

• Deductive Reasoning

• Inductive Reasoning

__________________________ uses generalizations to make specific conclusions.

• Deductive Reasoning

• Inductive Reasoning

A kind of reasoning based on repeated observations and is characterized by drawing a conclusion from observations of specific examples.

• Inductive

• Deductive

• Logic

• Reasoning

Tags

CCSS.HSS.IC.B.3

A type of reasoning that uses general facts, definitions, and accepted properties in a logical order to write a logical argument.

• Inductive

• Deductive

• Logic

• Reasoning

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1