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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.

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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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Exercise 1 Page 440

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