ABC’S OF GEOMETRY
By Parker Davis January 2, 2012
AA similarity when two triangles have corresponding angles that are congruent as shown below, the triangles are similar  AAS if two angles and the nonincluded side one triangle are congruent to two angles and the nonincluded angle of another triangle, then these two triangles are congruent  Acute angle an angle with an angle measure less than 90°  Acute triangle a triangle where all three internal angles are acute  Alt. exterior angles alternate exterior angles are created where a transversal crosses two (usually parallel) lines. each pair of these angles is outside the parallel lines, and on opposite sides of the transversal.  Alt. interior angles alternate interior angles are created where a transversal crosses two (usually parallel) lines. each pair of these angles are inside the parallel lines, and on opposite sides of the transversal  Altitude a line that is perpendicular to the base and goes through the opposite vertex  Angle bisector a line that equally spits an angle into two parts  ASA if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then these two triangles are congruent  oBtuse triangle a triangle that has an angle with a measure greater than 90°  Centroid the point of congruency of three medians in a triangle  Circumcenter point of congruency of three perpendicular bisectors  Collinear points the points lying on the same line are called collinear points  Complementary angles two angles are complementary if they add up to 90°  Concave polygon a polygon that has one or more interior angles greater than 180°  Conditional statements a conditional is a compound statement formed by combining two sentences (or facts) using the words “if ... then” IF…THEN IF…THEN

Congruent two figures are congruent if they have...
...Geometry Conjectures
Chapter 2
C1 Linear Pair Conjecture  If two angles form a linear pair, then the measures of the angles add up to 180°.
C2 Vertical Angles Conjecture  If two angles are vertical angles, then they are congruent (have equal measures).
C3a Corresponding Angles Conjecture If two parallel lines are cut by a transversal, then corresponding angles are congruent.
C3b Alternate Interior Angles Conjecture If two parallel lines are cut by a transversal,...
...Geometry Definitions, Postulates and Theorems
Definitions Name Complementary Angles Supplementary Angles Theorem Vertical Angles Transversal Corresponding angles Sameside interior angles Alternate interior angles Congruent triangles Similar triangles Angle bisector Segment bisector Legs of an isosceles triangle Base of an isosceles triangle Equiangular Perpendicular bisector Altitude
Definition Two angles whose measures have a sum of 90o Two angles whose measures have a...
...Geometry was throughly organized in about 300 B.C, when the Greek mathematician, Euclid gathered what was known at the time; added original book of his ownand arranged 465 propositions into 13 books called Elements.
Geometry is the mathematics of space and shape, which is the basis of all things that exist. Understanding geometry is necessary step by understanding how the things in our world exist. The applications of geometry in real...
...area formula, and see where this leads:
16 = s2
4 = s
After rereading the exercise to find the correct units, my answer is:
The length of each side is 4 centimeters.
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Most geometry word problems are a bit more involved than the example above. For most exercises, you will be given at least two pieces of information, such as a statement about a square's perimeter and then a question about its area. To find...
...Collaboration Component Form
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...“Bringing it all Together: The Geometry of Golf”
Golf in Geometry?? No Way!
Geometry In The Game of Golf
For hundreds of years, golf has been an extremely popular and growing sport all around the world. Looking where golf is now, it is growing rapidly from the young to the elder population. The first round of gold was first played in the 15th century off the coast of Scotland, but it did not start to be played until around 1755. The...
... 2. Quadrilateral
3. Pentagon
4. Hexagon
5. Heptagon
6. Octagon
7. Nonagon
8. Decagon
9. Dodecagon
10. Tetradecagon
F. Circles
Introduction
"Geometry," meaning "measuring the earth," is the branch of math that has to do with spatial relationships. In other words, geometry is a type of math used to measure things that are impossible to measure with devices. For example, no one has been able take a tape measure around the...
...is not a problem!
Geometry (Ancient Greek: γεωμετρία; geo "earth", metri "measurement") "Earthmeasuring" is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry is one of the oldest mathematical sciences. Initially a body of practical knowledge concerning lengths, areas, and volumes, in the 3rd century BC geometry was put into an axiomatic form by Euclid, whose...
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