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Thinking and Reasoning Geometrically
Using Tools of Geometry
Discovering & Proving Triangle Properties
Polygon Properties
Superheroes
100
This is the process of observing data, recognizing patterns, and making generalizations about those patterns...
What is Inductive Reasoning?
100
Using a compass and a straightedge rather than relying on measurements to create geometric shapes and relationships is called this...
What is a geometric construction.
100
The triangle sum conjecture states that the sum of the measures of the angles in every triangle is this...
What is 180 degrees.
100
180(n-2) where n is the number of sides of a convex polygon, is this...
What is the Polygon Sum Conjecture
100
This company creates comics and movies about the X-Men, Iron Man, and the Punisher...
What is Marvel.
200
2, 4, 7, 11, and this next number...
What is 16.
200
This is a line that divides a line segment into two congruent parts and meets the line segment at a 90 degree angle...
What is perpendicular bisector.
200
The base angles in this type of triangle are congruent...
What is an Isosceles Triangle.
200
The exterior angle sum conjecture states this...
What is the sum of the measures of the exterior angles of any polygon is 360 degrees.
200
Batman, Superman and this heroine are considered "The Big Three" of DC Comics...
Who is Wonder Woman.
300
If two angles form a linear pair, then the angles are supplementary or add up to this measurement...
What is 180 degrees.
300
This is the segment connecting the vertex of a triangle to the midpoint of its opposite side...
What is a median.
300
A triangle with side lengths 4 cm, 5 cm, and 9 cm is (possible or impossible) to draw...
What is impossible.
300
Each interior angle of a regular hexagon has this angle measure...
What is 120 degrees.
300
Two middle-aged ex-superheroes and a naked blue guy headlined this critically acclaimed, box office flop...
What is Watchmen.
400
This is the slope formula...
What is (y2 - y1)/(x2-x1).
400
The shortest distance from a point to a line is measured along this segment...
What is perpendicular segment.
400
These triangle congruence shortcuts do not prove triangles congruent...
What is Angle-Angle-Angle (AAA) and Side-Side-Angle (SSA).
400
These angles of a trapezoid are supplementary...
What are consecutive angles.
400
Alan Scott, John Stewart, Guy Gardner and this character have all been Green Lanterns. The latter will be the main character of the upcoming movie.
Who is Hal Jordan.
500
Angles A and B are complementary. Them measure of angle A = 25. Find the measure of angle B is this type of reasoning...
What is Deductive Reasoning.
500
In the coordinate plane, two lines are perpendicular when their slopes are this...
What is opposite (or negative) reciprocals.
500
If two angles of one triangle are equal in measure to two angles of another triangle, this can be said about the third angles of the triangles...
What is "the third angles are congruent."
500
The midsegment of a triangle has these two relationships with its third side...
What is parallel and half the length.
500
Xavier's five original X-Men members from the comic books...
Who are Jean Grey, Cyclops, Iceman, Beast, and Angel.