Propositions
Finish the proposition:
"In isosceles triangles, the angles at the base are equal to one another and ....."
What is "the angles under the base will be equal to one another"
Common Notion 1
What is "things which are equal to the same thing are equal to each other"?
Postulate that allows us to extend a given line into a longer line
Postulate 2
Has no dimensions
What is a POINT?
the conditional statement
What is the ENUNCIATION?
The two propositions that prove congruence (equality) between triangles
What is SSS and SAS?
Common Notion 3
What is "If equals be subtracted from equals, the remainders are equal"
What is POSTULATE 1?
A 3-sided figure with only 2 sides equal
What is an ISOSCELES TRIANGLE?
Latin abbreviation used after a construction proposition
What is QEF?
Name the three construction propositions.
What is the construction of an equilateral triangle, the copying of a line and the cutting off a shorter line from a longer line?
What is Common Notion 2?
Postulate that tells us that with a given point and a given distance, we can create a circle
What is POSTULATE 3?
A three-sided figure with each side a different length
What is a SCALENE TRIANGLE?
We call it the GIVEN statement for a 2 column proof
What is the SETTING OUT?
Finish the PROPOSITION and NAME the proposition:
"If in a triangle two angles are equal, then ....."
What is ".... the triangle is isosceles" OR "the sides which subtend the angles are equal to each other."
CONVERSE of the BASE ANGLES
The ________ is greater than the _________.
What is WHOLE and PART?
Finish the postulate: "All _______ ______ are equal."
What is RIGHT ANGLES?
Euclidean's definition of a CIRCLE
What is a figure whose lines that contain the center and end on the circumference are all equilateral?
We call it the PROVE statement in a 2-column proof
What is the SPECIFICATION?
The Latin term for the argument to the absurd
What is Reductio ad Absurdum?
Common Notion 4
"Things which coincide with one another are equal."
Postulate 5 gives us this condition to determine if 2 lines will intersect
What is "the sum of the interior angles is less than the sum of 2 right angles"?
A line that connects the opposite corners of a quadrilateral
What is a DIAGONAL?
The logical argument proving the conditional statement
What is the PROOF?