History of Geometry
One of the ancient cultures that used and studied Geometry expansively
What is Egypt or Greece?
What is a line?
polygon where all sides are congruent.
What is an equilateral polygon?
a cdot 1 = a
What is the identity property of multiplication?
A device that uses a part of the number line to illustrate lengths and measurements.
What is a ruler?
Euclid organized The Elements to describe these two aspects of geometry.
What is logical and consistent?
Line in the same plane that never intersect.
What are parallel lines?
Polygons that are both equilateral and aquiangular
What are regular polygons?
ab = ba
What is commutive property of multiplication?
A device that measures angles.
What is a protractor?
Euclid used this term to describe statements that can and should be proven.
What are propositions?
Three or more points that lie in the same line are referred to as this.
What is collinear?
Property of geometric figures that allow them to coincide at every point.
What is congruence?
a + (-a) = 0
d=|a-b|
What is distance on a number line?
Another name for the fifth postulate.
What is the parallel postulate?
two rays that share an endpoint
OR
the point at which adjacent sides form an angle in a polygon
What is a vertex?
figures that (1) can be made to coincide point-for-point throughout, (2) have the same shape and size, (3) have all corresponding parts congruent.
What are congruent figures?
a(b+c)=ab + ac
What is the distributive property?
Point that divides a line segment into two congruent parts.
What is a midpoint?
Rene Descartes was instrumental in combining Euclidean geometry with algebra to create this field. It was used to later discover calculus.
What is analytic geometry?
What is a concave polygon?
DAILY DOUBLE
parts of figures that are in the same relative position
What are corresponding parts?
a + (b + c) = (a + b) + c
What is Associative property of addition?
Any line or curve that intersects a line segment at its midpoint.
What is a bisector?