What is the contraposative of:
"If a figure has 4 sides, then it is a square."
What is
"If a figure is not a square, then it does not have 4 sides."
100
What property is used here.
.03 x = 30 --->3x = 3000
What is
Multiplication property of equality (100) or
Division property (/.01)
100
Which postulate claims that if point C is on line segment AB then
AC + BC = AB
Segment Addition Postulate
100
Two angles are vertical angles one with measurement (x+10) and the other with measurement (4x-35). What's x
What is
x=15
200
If angle A is congruent to Angle C, and Angle C is congruent to angle F, then angle A is congruent to angle F
what is transitive property of congruency
200
What is the truth value of the inverse of this statement
"If 2x = 12, then x>5."
What is FALSE
"If 2x does not equal 12, then x is less than or equal to 5."
200
Yes or no is the following a biconditional statement
"A factor of a whole number is a whole number that divides evenly into the given number.
What is YES
"A whole number is a factor of a given whole number if and only if it divides evenly into the given number."
200
True or False, by the definition of congruency, congruent angles have equal measurements
What is True
200
Two angles are supplementary. One has a measurement of 76. What is the measurement of the other angle.
What is 104
300
a = -4
6a + 2 = 6(-4) + 2
What is
Substitution
300
Write the following as a true biconditional.
"If a rectangle has 4 congruent sides, then it is a square
What is
"A rectangle is a square if and only if it has 4 congruent sides."
300
Use Modus Tollens or Ponens for the following.
If it is Friday, then Mr. Leary will eat a Sonoran Hot dog.
Mr. Leary does not eat a Sonoran Hot dog.
What do we know? Modus Tollens or Ponens?
What is Modus Tollens
It is not Friday.
300
Thought: If two angles are congruent and supplementary then they each are ______
(Hint make a diagram)
What is Right angles
300
XY = 42
YZ = 20
XY + YZ = XZ
What's XZ
What is 62
400
We're given PQ = QS; PQ + QR = PR;
So, PQ +QR = QS
What is Substitution or transitive
400
Write a conditional statement and its converse
What is
P--> Q
Q --> p
400
What is the property used for the following.
If it is cold, the geese will fly south.
If the geese fly south, then the geese are migrating.
So... If it is cold, then the geese are migrating.
What is Law of Syllogism
400
True or false, complementary angles always add up to 180 degrees
What is False : complementary angles add up to 90 degrees
400
Write out the two column proof for (.5)x - 5 = 10 to show that x = 30.
What is
(.5)x - 5 = 10 --- Given
2((.5)x-5) = 20 --- Multiplication
x - 10 = 20 --- distribution
x = 30 --- addition property
500
3(12-4) = (3)(12) - (3)(4)
What is distributive property of equality
500
Use the law of detachment for the following.
If one lives in Tucson, then they live in AZ.
Amy lives in Tucson.
What is
"Amy lives in AZ."
500
Draw a venn diagram for the following conditional.
If the animal is a gorilla, then it is a primate
What is
Outer circle primates
Inner circle gorilla
500
True or false. Segments that have the same length are congruent
What is True
500
Draw a diagram that would likely utilize the angle addition postulate
What is diagram with overlapping angles. Example shown on the board