Slope
Midpoint and Distance
Symbols
Conditional Statements
Miscellaneous
100
Find the slope between A(-7,6) and B(0,2).
-3/7
100
Find the distance between points P(8,2) and Q(3,8). Round to the nearest tenth.
7.8
100
What is the symbolic representation of the following argument?
~p -> q
100
Write the converse of this conditional statement. You will need to change the verb tense!
If I get a lot of Christmas presents, then I will be happy.
If I am happy, then I got a lot of Christmas presents.
100
Use Law of Detachment: (If p, then q)
Conditional Statement: If I go to school tomorrow, then it did not snow last night.
I go to school tomorrow.
What is the conclusion?
It did not snow last night! :(
200
Find the slope between the points A(3,-2) and B(6,0).
m=2/3
200
Find the length of CD
7.21
200
Which is the symbolic representation of the argument?
A) ~p -> ~q
B) ~p -> q
C) q -> p
D) ~q -> ~p
A) ~p -> ~q
200
Given the inverse, write the conditional statement:
If I do not eat ham on Thanksgiving, then I ate turkey.
If I ate ham on Thanksgiving, then I did not eat turkey.
200
Use Law of Contrapositive:
If I eat Oreo cookies, then I will want a cup of milk.
What conclusion can you make if: I did not want a cup of milk.
I did not eat Oreo cookies.
300
A line with a slope of 1/2 passes through the point (3,-1). What is another point on that line?
A) (-4,-3)
B) (7, 1)
C) (-1, 3)
D) (0, 5)
B) (7, 1)
300
5
300
Write the verbal representation of the symbolic representation:
~q -> ~p
If a polygon does not have three sides, then it is not a triangle.
300
Double Points!
Identify the contrapositive of the conditional statement:
If two lines are not parallel, then the two lines intersect
A) If two lines intersect, then the two lines are not parallel
B) If the two lines are parallel, then the two lines do not intersect.
C) If two lines do not intersect, then the two lines are parallel
D) If two lines do not intersect, then the two lines are not parallel.
C) If two lines do not intersect, then the two lines are parallel.
300
The graph of the point (2,6) and the line y=-3/2x-4 are shown. What is the shortest distance from the point to the line?
7.21
400
Anyone can answer! Try and steal the team's points!!
A line with a slope of 3/7 passes through the point (0,-5). What is another point on that line?
A) (2, -4)
B) (-5, -7)
C) (7, -2)
D) (11, 0)
C) (7, -2)
400
Double Points!
What is the midpoint of AC in the figure below?
(-1,1)
400
Let p: The puppy is fluffy
Let q: The kitten has sharp claws
Let r: The rabbit eats lettuce
Write the verbal statement given: p^r -> q
If the puppy is fluffy and the rabbit eats lettuce, then the kitten has sharp claws.
400
What is the inverse of the conditional statement:
If Tyler plays basketball, then he sweats
A) If Tyler does not play basketball, then he sweats
B) If Tyler sweats, then he plays basketball
C) If Tyler does not sweat, then he does not play basketball
D) If Tyler does not play basketball, then he does not sweat
D) If Tyler does not play basketball, then he does not sweat
400
Use Law of Syllogism. (p, q and r)
If Veronica graduates from high school, then she will go to college.
If Veronica goes to college, then she will make a lot of friends.
What conclusion can you make?
If Veronica graduates from high school, then she will make a lot of friends.
500
A line segment has an endpoint at (-2,-2) and a midpoint at (-3/4, 3). What are the
coordinates of the other endpoint, B?
(.5, 8)
(1/2, 8)
500
Let a: Valentine's Day is in February
Let b: Christmas is not in January
Write the verbal expression of
~p -> ~q
If Valentine's Day is not in February, then Christmas is in January.
500
Write the contrapositive based on the conditional statement:
If the clouds in the sky are grey, then it is going to rain today.
If it is not going to rain today, then there are no clouds in the sky that are grey.
500
Which law is being used?
If I use expo cleaner, then my students made a mess in my classroom.
Statement: My students did not make a mess in my classroom.
So, I do not use expo cleaner.
Law of contrapositive