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.
The lines intersect and form 90° angles.
If two lines do not intersect and form 90° angles, they do not form right angles.
If two lines intersect and form right angles, they intersect and form 90° angles.
The lines are perpendicular.
The conclusion drawn using the Law of Syllogism is: The lines are perpendicular.
The Law of Syllogism states that if there are two conditional statements, and the conclusion of the first statement matches the hypothesis of the second statement, then you can draw a conclusion.
Statement 1: If two lines intersect and form right angles, the lines are perpendicular.
Statement 2: If two lines are perpendicular, they intersect and form 90° angles.
Conclusion: The lines intersect and form 90° angles.
Using the Law of Syllogism, we can conclude that the lines are perpendicular.