Geo Unit 4 part 2 Deductive Reasoning hw

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What is deductive reasoning?

Back

Deductive reasoning is a logical process where a conclusion is drawn from a set of premises that are generally assumed to be true. It involves applying general principles to specific cases.

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What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (if part) and a conclusion (then part). It is often written in the form 'If P, then Q'.

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What is the transitive property in geometry?

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The transitive property states that if one quantity is equal to a second quantity, and the second quantity is equal to a third quantity, then the first quantity is equal to the third quantity.

Tags

CCSS.HSG.SRT.B.5

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How do you write a conclusion from a conditional statement?

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To write a conclusion from a conditional statement, identify the hypothesis and conclusion, and if the hypothesis is true, then the conclusion must also be true.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.7.1

CCSS.RL.8.1

CCSS.RL.9-10.1

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What is the relationship between a rhombus and a parallelogram?

Back

A rhombus is a specific type of parallelogram where all sides are of equal length. Therefore, all properties of parallelograms apply to rhombuses.

Tags

CCSS.HSG.CO.C.11

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What does it mean for angles to be congruent?

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Congruent angles are angles that have the same measure. In geometry, this means that they can be superimposed on each other.

Tags

CCSS.8.G.A.2

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What is the conclusion if 'If A, then B' and 'If B, then C'?

Back

The conclusion is 'If A, then C', based on the transitive property of conditional statements.

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What is the significance of the hypothesis in a conditional statement?

Back

The hypothesis is the condition that must be met for the conclusion to be true. If the hypothesis is false, the truth of the conclusion cannot be determined.

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How can you determine if a statement is valid?

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A statement is valid if the conclusion logically follows from the premises. In deductive reasoning, if the premises are true, the conclusion must also be true.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

What is an example of a real-world application of deductive reasoning?

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An example is: If it rains, then the ground will be wet. It is raining. Therefore, the ground is wet.