Question

Read the following two statements. Then use the Law of Syllogism to draw a conclusion.

Answer 1

Answer:

A. If two lines intersect and form right angles, they intersect and form 90° angles.

Explanation:

The first conditional can be described by ...

... if p then q

where

• p = two lines intersect and form right angles
• q = the lines are perpendicular

The second conditional can be described by ...

... if q then r

where

• r = they intersect and form 90° angles.

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The Law of Syllogism tells us that we can conclude ...

... if p then r

where p and r are as defined above. This translates to ...

... If two lines intersect and form right angles, then they intersect and form 90° angles. (matches selection A)