# Deductive Reasoning - Law of Detachment - Law of Syllogism

Worksheet (Geometry)

## Deductive Reasoning - Law of Detachment - Law of Syllogism Worksheet

## Lesson:

2. To use the law of detachment and syllogism to draw conclusions.

## Subject:

## Number of Problems:

9

## Pages:

3

## Answer Key:

Yes

## Samples:

Tutor-USA.com Worksheet

Geometry

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.

4) If the measures of two angles have a sum of 90 degrees, then the angles are complementary.

m∠1+ m∠2 = 90

5) If two figures are congruent, then their areas are equal.

The area of ABCD equals the area of WXYZ

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