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...

  • 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....

  • 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...

  • Pythagoras Research Paper

    These theorems include the famous Pythagorean theorem, which states that "the square of the

  • 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...

  • 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...

  • 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...

  • 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...

  • Archimedes Three Propositions

    This is a small part of one big project. The first proposition states that using the circumference and radius of a circle has same area as the right angled ...

  • How Did Athens Influence Ancient Greek Society

    Pythagorans founded the multiplication tables and the Pythagorean theorem. The field of geometry was explored first by Euclid and Archimedes had work on the ...

  • 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

1/15

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;

15 Cards in this Set

  • Front
  • Back
Therorem 3.1
If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.
Theorem 3.2
If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.
Theorem 3.3
If tow lines are perpendicular, then they intersect to form four right angles.
Linear Pair Postulate
If two angles form a linear pair, then they are supplementary
Parallel Postulate
If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.
Perpendicular Postulate
If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.
Corresponding Angles Postulate
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Corresponding Angles Converse
If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.
Slopes of Parallel Lines
In a coordinate plane, two nonvertical lines are parallel if and only if they have the same slope. Any two vertical lines are parallel.
Slopes of Perpendicular Lines
In a coordinate plane, two nonvertical lines are perpendicular if and only if the product of their slopes is -1. Vertical and horizontal lines are perpendicular.
Corresponding Angles Postulate
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Alternate Interior Angles
If two parallel lines are cut by a transversal, the the pairs of alternate interior angles are congruent.
Alternate Exterior Angles
If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.
Perpendicular Transversal
If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.
Corresponding Angles Converse
If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.