An unproven statement that is based on observations.
What is a conjecture?
100
Set up to let the user understand what steps were taken in order to receive a given output.
What is a proof?
100
A triangle with three congruent angles.
What is an Equiangular Triangle.
100
Shapes that coincide exactly when translated, reflected, and/or rotated.
What is Congruent Shapes?
100
A quadrilateral with two pairs of parallel sides.
What is a Parallelogram?
200
the straight path connecting two points and extending beyond the points in both directions.
What is a line?
200
Set up in a two-value table, one being "Statements" and the other being "Reasoning".
What is a Two-column proof?
200
A line that cuts across a set of lines or the sides of a plane figure. Transversals often cut across parallel lines.
What is a Transversal?
200
Shapes that coincide exactly when translated, reflected, rotated and/or scaled.
What is Similar Shapes?
200
A trapezoid with base angles that are the same. Consequently, the legs will be congruent to each other as well.
What is a Isosceles Trapezoid?
300
A flat surface extending in all directions.
What is a plane?
300
Proofs written in paragraph form.
What is a Written proof?
300
An angle between one side of a polygon and the extension of an adjacent side.
What is a exterior angle of a polygon?
300
A box shape on a plane. Formally, a rectangle is a quadrilateral with four congruent angles (all 90°).
What is a Rectangle?
400
Reaching a conclusion by combining known truths to create a new truth.
What is Deductive Reasoning?
400
statements that have been proven true through proofs of their own.
What is a Theorem?
400
A triangle for which all three sides have different lengths.
What is a Scalene Triangle?
400
Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."
What is Contrapositive?
500
Reaching a conclusion based on previous observations. For example, if I notice that the sun rises in the east every day, then I could conclude that the sun will rise from the East tomorrow.
What is Inductive reasoning?
500
a graphical representation of a two-column proof. Each set of statement and reasons are recorded in a box and then arrows are drawn from one step to another. This method shows how different ideas come together to formulate the proof.
What is a flowchart?
500
A geometric figure with no indentations. Formally, a geometric figure is convex if every line segment connecting interior points is entirely contained within the figure's interior.
What is a Convex Polygon?
500
The distance between a vertex of a triangle and the opposite side. Formally, the shortest line segment between a vertex of a triangle and the (possibly extended) opposite side. Altitude also refers to the length of this segment.
What is the Altitude of a Triangle or Height of a Triangle?