Free Geometry Worksheet: Deductive Reasoning - Law of Detachment - Law of Syllogism
Free Geometry Worksheet
Lesson: Law of Detachment & Law of Syllogism
Subject: Geometry
Description:
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.
# of Problems: 9# of Pages: 3
Answer Key?: Yes
Sample Problems from Worksheet
(Worksheet pictures and diagrams not shown)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.
