Foundations of Geometry
Midpoint,Distance, and Slope
Logic
Proofs
Transversals
Transformations
100
What do you call points that are all in a line?
Collinear points
100
What is the slope of the line between the points (3,-2) and (7,1)?
3/4
100
What is the conclusion of this statement:
"If you add two even numbers together, the sum is even."
The sum is even.
100
What is the missing statement #2?
m<1+m<2=180˚
100
How many pairs of corresponding angles are created when two lines are intersected by a transversal?
4
100
If A is translated to A', A' is called the "image" and A is called the _____________.
Preimage
200
How many points are needed to define a plane?
3
200
If A is at (3,8) and B is at (8,10), what is the slope of the line PERPENDICULAR to AB?
-5/2
200
Is this statement biconditional?
"If you add two even numbers together, the sum is even."
No
200
Name one reason (other than "given") that will be used in this proof.
Definition of Linear Pair, Definition of supplementary, or Substitution Property of Equality
200
What needs to be true in order for same-side interior angles to be supplementary?
The 2 lines must be parallel
200
A triangle with vertices at (1,3), (5,2), and (2,6) ends up with vertices at (-1,3), (-5,2), and (-2,6) after what transformation? (be specific)
Reflection over the X-axis
300
What does the intersection of 2 planes create?
a line
300
A,B,C are collinear with B between A and C. If AB=3x+7 and BC= 6x+10, how long is AC?
8
300
Write the converse of the statement: If today is Thursday, then tomorrow is Friday.
If tomorrow is Friday, then today is Thursday.
300
If turned into a flowchart proof, which statements will have arrows pointing to statement #5?
Statements 2 and 4
300
Find m<k
126˚
300
Where would the point (5,-2) end up after a rotation of 90˚ counterclockwise around the origin?
(2,5)
400
How many of these are proper names for an angle in this picture?
<ABC, <CBD, <DAB, <DBA, <B, <CAB, <ACD
3
400
What is the distance between the points (-3,1) and (2,13)?
13
400
How are these statements related?
"If I sleep, I dream."
"if I don't dream, I don't sleep."
Contrapositives
400
If D is on the inside of >ABC, what reason would you give for the statement:
<ABD + <DBC = <ABC
Angle Addition Postulate
400
Solve for X:
x=3
400
AB is translated to A'B. If A=(-3,7), B'=(4,1), and A'=(-4,1), where is B?
(5,7)
500
Making an arc from each end of a segment and connecting the 2 intersection points of the arcs is how you construct a what?
(perpendicular) bisector
500
B is the midpoint of AC. If B is at (-1,3) and C is at (5,-1), where is A?
(-7,7)
500
Create a venn diagram for this conditional:
"If it is a Monday, then it is a weekday."
500
What does the Symmetric Property state?
if a=b, then b=a
500
Solve for X and Y:
X = 3
Y = 11
500
A rotation of 180˚ is the same as what TWO other transformations?
Reflect over the X axis AND Reflect over the Y axis.