Conditional
If x > 5, then 5x > 25.
What is the hypothesis?
What is x >5?
What is the converse?
If you can sing, then you can go with Sarah
If you can go with Sarah, then you can sing.
Two angles are congruent if and only if they have the same measure.
If two angles are congruent, then they have the same measure.
What conclusion can you reach?
If you are studying biology, then you are studying a science. If you are studying a botany, then you are studying biology.
If you are studying botany, then you are studying a science.
Complete with always, sometimes, or never
Two lines that do not intersect are _____ parallel.
Sometimes.
Write this statement as a conditional:
Roses are beautiful flowers.
If something is a rose, then it is a beautiful flower.
Consider the converse of the statement, If the converse is true, write true, if not, provide a counterexample.
If x-3 = 15, then x = 18.
True
Obtuse angles measure between 90 and 180 degrees.
Write the biconditional.
If a person does not get enough sleep, then that person will be tired. Evan doesn't get enough seep.
Complete with always, sometimes or never.
Two lines that intersect are ______ skew.
Find a counterexample.
If an integer less than 10 is odd, then it is a prime number.
9
Write the converse:
If you eat your veggies, then you grow.
If you grow, then you eat your veggies.
Test each statement to see if it is reversible. If so, write it as a true biconditional. If not, write not reversible.
A midpoint of a segment is a point that divides a segment into two congruent segments.
A point is a midpoint of a segment if and only if it divides a segment into two congruent parts.
What can you conclude?
If you have a job, then you have an income. If you have an income, then you pay taxes.
If you have a job, then you pay taxes.
If the name of a state contains the word North, then the state boarders Canada.
North Carolina
Make a Venn Diagram for the following statement.
Carrots are vegetables.
Vegetables (Carrots)
Consider the converse of the statement below. Find it's truth value.
If Marta is 5 years old, then she is too young to vote.
False, Marta could be any age younger than 18
Is this a good definition?
An angle bisector is a ray that divides an angle into two congruent angles.
Yes!
Carl reads anything Andrea chooses to read. Bert reads what Carl chooses to read and Carl chooses to read what Bert chooses. Andrea reads whatever Darla chooses to read. Carl is reading Hamlet.
Who else if anyone is reading Hamlet?
Is the following a good definition?
A square is a figure with two pairs of parallel lines.
No; parallelogram, rhombus, rectangle
Write the statement as a conditional. If false, provide a counterexample.
All integers divisible by 8 are divisible by 2.
If an integer is divisible by 8, then it is divisible by 2.
TRUE
Which statement has a true converse?
A) If a vehicle is a car, then it has 4 wheels.
B) If you go to Asia from the US, then you have a passport,
C) If you own a dog then your pet is furry.
D) If you can stand up, then you can walk.
D
Write as a biconditional.
he whole numbers are the nonnegative integers.
A number is a whole number if and only if it is a nonnegative integer.
Assume that the following statements are true.
If Anita goes to the concert, Beth will go.
If Beth goes to the concert, then Aisha will go.
If Aisha goes to the concert, then Ramon will go.
Only two students went to the concert. Who where they?
Aisha and Ramon.
Is the following a good definition?
An obtuse angle is an angle whose measure is greater than 90 degrees.
No; straight lines are 180.