Geometry 2-3 Law of Syllogism The Law of Syllogism allows you to draw conclusions from two conditional statements. Law of Syllogism If p  q and q  r.

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Geometry 2-3 Law of Syllogism The Law of Syllogism allows you to draw conclusions from two conditional statements. Law of Syllogism If p  q and q  r are true statements, then p  r is a true statement.

Example If kite, then quadrilateral. If quadrilateral, then polygon. Given: If a figure is a kite, then it is a quadrilateral. If a figure is a quadrilateral, then it is a polygon.

Example If kite, then quadrilateral. If quadrilateral, then polygon. Given: If a figure is a kite, then it is a quadrilateral. If a figure is a quadrilateral, then it is a polygon. Therefore: If a figure is a kite, then it is a polygon.

Example Given: If a number is divisible by 2, then it is even. If a number is even, then it is an integer. Therefore: If a number is an integer, then it is divisible by 2.