Definitions
Is that which has length and breadth only.
What is a surface?
To draw a straight line from any point to any point.
What is Postulate 1?
The whole is greater than the part.
What is Common Notion 5?
This Proposition shows that given a finite line, we can construct an equilateral triangle.
What is Proposition 1?
Next to; in the context of angles, these types of angles share a common vertex and ray.
What is adjacent?
Two straight lines intersect in such a way that the angles created are adjacent and equal.
What is a right angle?
That all right angles are equal to one another.
What is Postulate 4?
Things which are equal to the same thing are also equal to one another.
What is Common Notion 1?
This proposition proves that the angles at the base of an isosceles triangle are equal to one another.
What is Proposition 5?
Reversing the order of the two parts of a statement gives you this.
What is the converse?
The straight line that bisects a circle.
What is a diameter?
To produce a finite straight line continuously in a straight line.
What is Postulate 2?
If equals be subtracted from equals, the wholes are equal.
What is Common Notion 3?
This proposition proves that any two triangles that have two angles equal to two angles respectively and have a side equal will be congruent. (Acronym(s))
What is Angle Angle Side (AAS); what is Angle Side Angle (ASA)?
The lines that make right angles are....
What is perpendicular?
That which is equilateral but not right angled.
What is a rhombus?
To describe a circle with any centre and distance.
What is Postulate 3?
If equals be added to equals, the wholes are equal.
What is Common Notion 2?
This proposition shows that given two unequal straight lines, we can subtract from the greater line, a line equal to the lesser. (#)
What is Proposition 3?
If Zeus is human, then he is mortal, however Zeus is not mortal. (Conclusion and Argument Name)
What is Zeus is not human; what is modus tollens?
That which is contained by any boundary or boundaries.
What is a figure?
If a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines will meet on the side in which the angles are less than two right angles.
What is Postulate 5?
Things which coincide with one another are equal to one another.
What is Common Notion 4?
In any triangle, two sides taken together in any manner are greater than the remaining one (# and official title).
What is Proposition 20; what is the triangle inequality theorem?
A proof by contradiction or by conclusions made utilizing modus tollens.
What is an indirect proof?