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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

Mathematical Practices

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Exercise 1 Page 440

Analyze each of the premises carefully and how are they used to get the conclusion.

Correct

Practice makes perfect

Let's start by identifying the premises and the conclusion in the given syllogism.

Premise: All triangles are polygons.
Premise: Figure ABC is triangle.
Conclusion: Figure ABC is a polygon.

The first premise let us know that all triangles are polygons. Since the figure we are considering is a triangle it must be a polygon as well. Therefore, the exercise provides correct deductive reasoning.

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