Definitions
Lines that do not intersect
What are parallel lines?
a2+b2=c2
What is the Pythagorean Theorem?
The area of a square
What is side squared (s2)?
A quadrilateral that has all sides congruent.
What is a rhombus?
If Rebecca sits in Layla's seat then Layla will sit in Rebecca's seat.
Rebecca sits in Layla's seat, therefore
Layla sits in Rebecca's seat.
Lines that intersect at a right angle
A triangle that contains a right angle
What is a right triangle?
The volume of a cube
What is V=B*h or s3
Every rectangle is this type of shape.
What is a parallelogram?
If it is Friday, then the Geometry class is in a good mood.
It is Thursday, therefore
No conclusion possible.
Statements we assume to be true
What are postulates?
A triangle sides are congruent
What is an equilateral triangle?
Area of a circle?
What is pi*r2?
These shapes have a least one right angle.
What are rectangles and squares?
What is the converse of
If I studied for my test, then I will pass geometry?
If I pass geometry then I studied for my test.
Results we deduce from definitions and postulates
What are theorems?
A triangle that has two sides congruent.
What is an isosceles triangle?
Volume of a cylinder
What is V = Bh or pi*r2*h?
The diagonals of this shape bisects each other.
What is a parallelogram?
This form of logic uses the phrase "if and only if".
What is a biconditional statement?
A three dimensional shape composed of polygonal regions
SAS, SSS, ASA, AAS, HL
What are the triangle congruence theorems?
The volume of a cone
What is V =1/3 Bh or (1/3)pi*r2*h
This shape is a rectangle but the converse is not true.
What is a square?
What is the contrapositive of 'p => q'?
not q => not p