Related Essays

  • Parallel Lines In Euclid's Elements

    According to Euclid’s Elements, Book I, “Parallel straight lines are those straight lines which, being in the same plane and being produced indefinitely in b...

  • Student Congruence Research

    They examine the Pythagorean theorem, TEKS 8(6)(C), 8(7)(C), and 8(7)(D). Also, in the eighth grade, 63% of the students were successful in identifying prop...

  • How To Use Mrs. Woodward's Theorem From Tangent To Yellow Wall

    The theorem states line ‘m’ is tangent to circle Q if and only if ‘m’ is perpendicular to QP. Because it states ‘if or only if’, the theorem works both ways....

  • Nikolai Ivanovich Lobachevsky

    At the time most mathematicians were trying desperately to prove Euclid 's fifth postulate as derived from other axioms. We now know that in fact this can no...

  • Pythagoras Research Paper

    Pythagoreans created these small but important concepts by showing that small laws of empirical geometry could be proved as logical answers by a small number...

  • David Hilbert Research Paper

    In a text published by the great Hilbert, called the Foundations of Geometry, in 1899. He proposed a special set, called Hilbert’s axioms, substituting for t...

  • Greek Contributions Dbq

    Euclid, a very famous mathematician, composed a book of his findings called Elements. This book was written in about 300 B.C.E. and his ideas were a starting...

  • Paper On Pythagoras

    Odd numbers were thought of as female and even numbers as male.” Pythagoras’ Theorem and the properties of right-angled triangles seems to be the most ancien...

  • Counter Euclid's Elements

    Euclid’s work, Elements, is based around the early mathematical understanding of what is present day geometry. The work begins with definitions. The Oxford E...

  • Shuffle
    Toggle On
    Toggle Off
  • Alphabetize
    Toggle On
    Toggle Off
  • Front First
    Toggle On
    Toggle Off
  • Both Sides
    Toggle On
    Toggle Off
  • Read
    Toggle On
    Toggle Off
Reading...
Front

Card Range To Study

through

image

Play button

image

Play button

image

Progress

1/6

Click to flip

Use LEFT and RIGHT arrow keys to navigate between flashcards;

Use UP and DOWN arrow keys to flip the card;

H to show hint;

A reads text to speech;

6 Cards in this Set

  • Front
  • Back
If B is beteween A and C:
A--------B----------C
then:
AB + BC = AC
Segment Addition Postulate
the point that divides a line segment into two congruent segments
Midpoint
if AB = XY,
then the two segments are what?
Congruent Segments
__...__
AB ≅ AB
Reflexive property of Congruence
...__...__
if AB ≅ CD
.... __...__
then CD ≅ AB
Symmetric property of congruence
...__...__......__...__
if AB ≅ CD and CD ≅ EF
.....__...__
then AB ≅ EF
Transitive property of congruence