Statements
Write this definition as a biconditional:
An Obtuse angle has a measure greater than 900
An angle is obtuse if and only if it has a measure greater than 90o
Make a conclusion:
If you get an A on the final, then you pass the class. Dan got an A on the final.
Dan passed the class
Justify:
1. 4x + 20 = 180
2. 4x = 160
Subtraction POE
What is the inverse of this statement?
If School is closed, then it is a holiday.
If school is not closed, then it is not a holiday.
Make a conclusion:
If two angles are vertical, then they are congruent. If two angles are congruent, then their measures are equal.
If two angles are vertical, then their measures are equal.
Justify:
1. 6x - 12 = 24
2. 6x = 36
Addition POE
Write the converse:
If you are a Bills fan, then you love Josh Allen.
If you love Josh Allen, then you are a Bills fan.
Make a conclusion:
If we have a test tomorrow, then we will play Eggspert. Tuesday we played Eggspert.
Wednesday we have a test.
Justify:
1. 3(x - 4) = 11
2. 3x - 12 = 11
Distributive Property
What is a counter example to this statement?
If you are riding a bike, then you are on the road.
Mountain bike, sidewalk, trail, grass...
Make a conclusion:
If you play hockey, then you are on a team. If you're on a team, then you are a varsity athlete. Jenny plays hockey.
Jenny is a varsity athlete.
Justify:
1. 4x = 20
2. x = 5
Division POE
Find the contrapositive:
If a figure is a square, then it has four sides.
If a figure does not have four sides, then it is not a square.
Make a conclusion:
If it is breakfast time, then Julia is drinking juice. If Julia is drinking juice, then she is eating toast.
If it is breakfast, then Julia eats toast.
Justify:
1. ax + bx = 20
2. x (a + b) = 20
Distributive Property