Patterns
Conditional Statements
Algebraic Properties
Geometric Properties
Proof Justifications
100
Describe the pattern: 2, 22, 222, 2222
What is Adding 2 to the number
100
What is the hypothesis: If it is going to rain, then I will bring an umbrella.
What is: It is going to rain
100
Name the property from the first statement to the second: 4x + 1 = 10 4x = 9
What is Subtraction Property
100
Name the property from the first statement to the second: AB = CD then CD = AB
What is Symmetric Property
100
Name the property from the first statement to the second: <1 and <2 are supplementary <1 + <2 = 180
What is Definition of Supplementary Angles
200
Describe the pattern: 2, 4, 6, 8,
What is adding two
200
What is the conclusion: Another performance will be scheduled if the first one is sold out.
What is Another performance will be scheduled
200
Name the property from the first statement to the second: 4x = 16 x= 4
What is Division Property
200
Name the property from the first statement to the second: AB = AB
What is Reflexive Property
300
Find the next item in the sequence: 4,8,12,16,20...
What is 24
300
Determine if the statement is true or false. If false give a counter example: If two angles are congruent, then they are vertical angles.
What is False, two right angles as a linear pair are congruent but not vertical angles.
300
Name the property from the first statement to the second: 4(x + 1) = 10 4x + 4 = 10
What is Distributive Property
300
Name the property from the first statement to the second: CD= FG CD is congruent to FG
What is Definition of congruence
300
Name the property from the first statement to the second: <1 and <2 are vertical angles <1 = <2
What is Definition of Vertical Angles
400
Find the next item in the sequence: -1, -3, -5, -7...
What is -9
400
Find the converse of the statement (q- p): All squares are rectangles
What is : All rectangles are squares
400
Name the property from the first statement to the second: If AB = BC and BC = CD then AB = CD
What is Transitive Property.
400
Name the property from the first statement to the second: C is the midpoint of AE AC = CE
What is Definition of midpoint
400
Name the property from the first statement to the second: <1 is 90 degrees <1 is a right angle
What is Definition of a Right angle or Right angle Theorem
500
Describe the pattern and determine the next item in the sequence: Sunday, Tuesday, Thursday
What is : Alternating days, Saturday
500
State the inverse of the statement (-p > -q): A right triangle has an angle measure of 90 degrees.
What is : If it is not a right triangle, it does not have an angle measure of 90 degrees.
500
Name the property from the first statement to the second: If m<2 = 25 and m<1 = 25 then m<1 = m<2
What is Substitution Property
500
Name the property from the first statement to the second: JK + KL = KL + LM JK = LM
What is Subtractio Property
500
Name the property from the first statement to the second: <1 + <3 = 90 <1 + <3 are complementary
What is Definition of Complementary Angles
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