Patterns
Counterexamples
Conditional Statements
Law of syllogism & Detachment
Proofs and Properties
100
Names the conjecture and next term,
2, 4, 8, 16, 32...
Double the number and 64
100
The sky is always blue
When the sky is grey, pink, or sunset sunrise dark
100
Tell me the converse of the statement,
If cats fly, then ducks bark
If ducks bark, then cats fly
100
If a conditional statement p --> q is true and p is true, this law allows you to conclude that q is true.
What is law of detachment
100
Which property would be next?
6(g+3) = -2(g+31) given
?
What is distributive property
200
Name the conjecture and next value....
2,3,5,7,11,....
What is a prime number and 13
200
all prime numbers are odd
What is 2
200
Which one is the hypothesis in the statement or the p,
If a line has points on them, then they are colinear.
What is, if a line has points on them
200
What is the conclusion and law?
If an angle measures 90 degrees, then it is a right angle.
Angle A measures 90 degrees.
What is Then angle A is a right angle
200
If
then what theorem represents this situation?
What is Vertical Angle Theroem
300
Name the conjecture and next value
5,10,15,20,25....
What is adding 5 and 30
300
All parallelograms have 4 right angles
what is a rhombus
300
Write the Inverse of the statement,
If I eat a pint of ice cream, then I will gain weight.
If I don't eat a pint of ice cream, then I won't gain weight.
300
What is the conclusion and law you are using?
If a polygon is a square, then it has 4 sides. If a polygon has 4 sides , then its a quadrilateral.
If a polygon is a square then its a quadrilateral. Law of syllogism
300
Where did the first error occur in the following algebraic proof?
Statement Reasons
1. -5(x+4) = 701. Given
2. -5x -20 = 702. Distributive Property
3. -5x = 903. Subtraction Property of Equality
4. x = -184. Division Property of Equality
What is reason 3?
400
Name the conjecture and next value....
1, 1, 2, 3, 5, 8....
What is a adding the last 2 numbers and 13
400
All numbers divisible by 5 are even
What is 15
400
Write a conditional statement for,
Lions are cats that can roar
What is,
If the cat is a lion, then it can roar
400
Can you make a conclusion?
If it is raining then the ground is wet. The ground is wet.
What is no, because it follows no law
400
Choose the following property that justifies the statement:
GH cong HJ, HJ cong GH
What is Symmetric Property
500
How many sides will the next figure in the sequence have?
What is 6
500
The square of an integer is always an even number.
What is 1
500
Write the contrapositive of the statement,
If there are two lines that don't touch, then they are parallel
If they are not parallel, then there are two lines that do touch
500
Which law is this and what is the conclusion?
If a number is divisible by 4, then it is divisible by 2. If a number is divisible by 2, then it is even
What is law of syllogism and If a number is divisible by 4 then it is even.
500
Choose the property that justifies the statement:
PS cong WX, WX cong YZ, therefore PS cong YZ
What is Transitive Property