Geometry Worksheet
Law of Detachment & Law of Syllogism
Deductive Reasoning
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Law of Detachment & Law of Syllogism |
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Problems require students to use the law of detachment (If p→q is a true statement
and p is true, then q is true) and the law of syllogism (If p→q and q→r
are true statements, then p→r is a true statement) to draw conclusions from
given statements.
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Sample Problems from Worksheet (diagrams not shown) |
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Law of Detachment – Law of Syllogism
1) The law of detachment states that if a conditional is true and its hypothesis is true, then its _______
must also be true.
Use the Law of Detachment to draw a conclusion if possible.
2) If two lines are parallel, then they do not intersect
Line a is parallel to line b.
3)If three points lie on the same line, then they are collinear.
Points A, B, and C lie on line l.
Use the Law of Syllogism to draw a conclusion if possible.
6) If a quadrilateral is a square, then it has four right angles.
If a quadrilateral has four right angles, then it is a rectangle.
7) If you understand the law of syllogism, you will do well on the test
If you do well on the test, you will get a passing grade.
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