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

If two lines intersect and form right angles, the lines are perpendicular.
If two lines are perpendicular, they intersect and form 90° angles.

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

B. The lines are perpendicular.

C. The lines intersect and form 90° angles.

D. If two lines do not intersect and form 90° angles, they do not form right angles.

User Bill Baker
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2 Answers

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

Step-by-step explanation:

User Niel
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4 votes

Answer:

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

Step-by-step 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.

___

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)

User Ed Sykes
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