The three foundations of Euclidean Geometry are these
What are undefined terms, axioms (postulates), and theorems
100
Lines that intersect to form right angles
What are perpendicular lines
100
If you fold a piece of paper with a line segment so that the endpoints exactly overlap and mark the intersection of the crease, what have you constructed?
What is the midpoint of a line segment
100
If p is false and q is true, then the statement is this
What is false
100
This symbol is called this. (Ms. Hall will draw the sign)
What is congruent
200
Name the following assumption that does not connect undefined terms of Euclidean geometry:
a. Two planes intersect to form a line
b. Three collinear points determine a plane.
What is b.
200
Points that lie on the same line
What are collinear points.
200
Name of this construction (Ms. Hall will draw it)
What is a perpendicular bisector of a line.
200
If p is true and q is false, then the statement is this
What is false
200
A compass and a straightedge are these
What are tools in geometry
300
The “underlying assumptions” are called these.
What are postulates/axioms
300
Point B is between points A and C. Name the three things that are true
A, B, and C are collinear
Ray AB is the same as Ray BA.
Ray AC is the same as Ray AB.
Ray BC and BA are opposite rays
What is not Ray AB is the same as Ray BA.
300
Line segment AC is 24 units. Point B is the midpoint of segment AC, and point D is the midpoint of segment BC. 6 is the distance between what two points?
What is segment BD, or DC.
300
If a and b are negative integers, then their product is always positive. Name the converse statement.
What is if the product of a and b is always positive, then a and b are negative integers.
300
Line segment AC is 12 units. Point B is the midpoint of segment AC, and point D is the midpoint of segment BC. The distance of line segment AC is this much greater than segment BA.
What is 6
400
In geometric systems, this is presumed to be true without proof
What are postulates.
400
The curved surface of the earth is compared to this undefined term in non-Euclidean geometry?
What is a plane
400
Line segment AC is 24 units. Point B is the midpoint of segment AC, and point D is the midpoint of segment BC. 12 is the distance between what two points?
What is segment AB, or BC.
400
Give the inverse of the following statement: “Two angles with a sum of 90 degrees are complementary”
What is if two angles do not have the sum of 90 degrees then they are not complementary.
400
Line segment AC is 12 units. Point B is the midpoint of segment AC, and point D is the midpoint of segment BC. The distance of line segment AB and segment BD is this.
What is 9 units.
500
In geometric systems, these require proof.
What is a theorem
500
Two collinear rays that go in opposite directions are form this
What is a line
500
When constructing an angle to be congruent to another angle, name what points would not be congruent with each other. Draw a picture to help explain.
What is the arc and the line segment.
500
What is always true if the conditional statement is true?