Chapter 1: An Introduction to Geometry
This is the name given to part of a line between two endpoints.
What is a line segment?
This type of statement is in the following form: "If P, then Q."
What is a conditional statement?
This property states that any number equals itself.
What is the Reflexive Property?
This is the relationship of corresponding parts of congruent triangles.
What is equal/congruent?
The villain of this movie "put a smile on that face."
What is The Dark Knight?
You need two of these to form an angle.
What is a ray?
Euclid separated his axioms into these two types of statements.
What are postulates and common notions?
This is the relationship between two vertical angles.
What is equal?
Triangles can be labeled by their side lengths or by this.
What are angle measurements?
It took approximately 100 hours to render each frame for the black hole in this movie.
What is Interstellar?
This adjective describes at least three points that lie on the same line.
What is collinear?
This is the meaning of the abbreviation "iff."
What is "if and only if?"
Two complementary angles have this as the sum of their measurements.
What is 90 degrees?
A triangle is equilateral if and only if it is also this.
What is equiangular?
This movie warns its viewers about the physical, mental, and political dangers of weapons of mass destruction, specifically nuclear weapons.
What is Oppenheimer?
Used in various constructions, this is the set of all points in a plane that are a fixed distance from another point in the plane.
What is a circle?
What is a contradiction?
Perpendicular lines form this number of right angles.
What is four?
All of the congruence rules for triangles are theorems except for this one.
What is the Side-Angle-Side (SAS) Postulate?
In this movie, Hugh Jackman is a better performer, but Christian Bale is a better magician.
What is The Prestige?
This adjective describes at least three lines that intersect at the same point.
What is concurrent?
This type of argument is in the following form: "If a, then b; if b, then c; therefore, if a, then c."
What is a syllogism?
A direct result of the Ruler Postulate, this theorem states that a point B is between two other points A and C on the same line if and only the coordinate of B is between the coordinates of A and C.
What is the Betweenness of Points Theorem?
This theorem states that, if two sides of a triangle are equal in length, the angles opposite those sides are equal in measure, and vice versa.
What is the Isosceles Triangle Theorem?
In this movie, two stories are told at once, one moving forward and the other moving backward.