Question

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. (i can send a photo of answers) i just need help understanding the law of syllogism

Answer 1

Law of Syllogism:

If a ⇒ b and b ⇒ c then a ⇒ c is true

A must always lead to C if the law of syllogism applies

Using the statements given

if two lines intersect and form right angles, the lines are perpendicular.

a = two lines intersect and form right angles

b = lines are perpendicular

then we have

if two lines are perpendicular, they intersect and form 90° angles.

b = two lines are perpendicular

c = they intersect and form 90° angles.

so we must have

a ⇒ c

a = two lines intersect and form right angles

c = they intersect and form 90° angles.

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