070911 Conditionals
Name:_____________Pd._______
Read the following statements:
- If two
lines intersect to form right angles, then they are perpendicular.
- If two
lines are perpendicular, then they intersect to form right angles.
- If a
figure is a square, then it has 4 sides.
- If a
figure has 4 sides, then it is a square.
- If x+3
= 12, then x = 9.
- If x =
9, then x+3 = 12.
- If an
animal is a dog, then it is a mammal.
- If an
animal is a mammal, then it is a dog.
- If x =
5, then x^2 = 25.
- If x^2
= 25, then x = 5.
What features does each statement above share?
Is each statement true? If not, then prove it false.
Take another look at the statements. What other feature do you notice?
070911 Conditionals
Name:___________Pd._____
Now you tryÉ
Identify the hypothesis and conclusion of each conditional
- ŇIf my
fans think that I can do everything I say I can do, then theyŐre crazier
than I amÓ—Muhammad Ali.
- If two
lines are parallel, then the lines are coplanar.
Write each statement as a conditional. Then write itŐs converse. Determine the truth value of each.
- Two
intersecting lines meet in exactly one point.
- Two
intersecting planes meet in exactly one line.
- Through
any two points there is exactly one line.
- Through
any three noncollinear points there is exactly one plane.
- Whole
numbers that have 2 as a factor are even.
- Obtuse
angles have a measure greater than 90deg.
Write a conditional statement and itŐs converse as described
below: (these need to be new and not have been covered in the lesson)
- Both
conditonal and converse are true.
- One is
true; one is false
- Both
are false.