Write a conditional statement for:
Corresponding angles are congruent.
If two angles are corresponding, then they are congruent.
100
Write the converse of the following conditional:
If it is sunny out, then it is not raining.
If it is not raining, then it is sunny out.
100
Write the law that is used and state a valid conclusion or no conclusion:
(1) If I am eating taco pizza, then it is Tuesday.
(2) I am eating taco pizza.
Law of detachment
It is Tuesday.
100
True or False. If false, give a counter example.
Given: m<1 + m<2 = 180
Conjecture: <1 and <2 are adjacent.
False. Two angles that sum to 180 are not always adjacent.
100
Finish the property:
If parallel lines are cut by a transversal, then the alternate interior angles are _____________.
Congruent
200
What is the hypothesis of the following conditional:
If 2 lines are parallel, then their slopes are the same.
Two lines are parallel.
200
Write the inverse of the following conditional:
If it is sunny out, then it is not raining.
If it is not sunny out, the it is raining.
200
(1) If it is Tuesday, then I am watching The Voice.
(2) If I am watching The Voice, then I am happy.
Law of Syllogism
If it is Tuesday, then I am happy.
200
If the same-side interior angles are supplementary, then ____________.
the lines cut by a transversal are parallel.
300
Name the conclusion:
If I have a good breakfast, then I will do well on my test.
I will do well on my test.
300
Write the contrapositive:
If you like taco pizza, then you like Godfather's Pizza.
If you do not like Godfather's Pizza, then you do not like taco pizza.
300
(1) If you are running late, then you cannot stop for coffee.
(2) You do not stop for coffee.
No conclusion
300
Part + Part = Whole
Segment/Angle Addition Postulate
400
Give a conditional statement for:
Perpendicular lines form four right angles.
If the lines are perpendicular, then the lines form four right angles.
400
Give the inverse:
If a dog is cute, then it is a golden retriever.
If a dog is not cute, then it is not a golden retriever.
400
(1)If my mom is mad at me, then she will yell.
(2)If my mom is yelling, then I am crying.
Law of Syllogism
If my mom is mad at me, then I am crying.
400
A plane and a line intersect at a _____________.
point
500
Make a conditional with an actual Geometry term.
Multiple answers.
500
Write the contrapositive:
If you do not like Geometry, then you are not cool.
If you are cool, then you like Geometry.
500
(1) If there are a lot of cars in the parking lot, then the store is busy.
(2) If there are a lot of cars in the parking lot, then then I cannot find a parking spot.
No conclusion
500
If two angles sum to 90, then they are called _______________ angles.