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Converse Of Alternate Interior Angle Theorem | Math | ShowMe (superb Alternate Interior Angle Theorem Photo Gallery #3)

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Explanation of Converse Of Alternate Interior Angle Theorem | Math | ShowMe

Of

of1  (uv, ov; unstressed əv or, esp. before consonants, ə),USA pronunciation prep. 
  1. (used to indicate distance or direction from, separation, deprivation, etc.): within a mile of the church; south of Omaha; to be robbed of one's money.
  2. (used to indicate derivation, origin, or source): a man of good family; the plays of Shakespeare; a piece of cake.
  3. (used to indicate cause, motive, occasion, or reason): to die of hunger.
  4. (used to indicate material, component parts, substance, or contents): a dress of silk; a book of poems; a package of cheese.
  5. (used to indicate apposition or identity): Is that idiot of a salesman calling again?
  6. (used to indicate specific identity or a particular item within a category): the city of Chicago; thoughts of love.
  7. (used to indicate possession, connection, or association): the king of France; the property of the church.
  8. (used to indicate inclusion in a number, class, or whole): one of us.
  9. (used to indicate the objective relation, the object of the action noted by the preceding noun or the application of a verb or adjective): the ringing of bells; He writes her of home; I'm tired of working.
  10. (used to indicate reference or respect): There is talk of peace.
  11. (used to indicate qualities or attributes): an ambassador of remarkable tact.
  12. (used to indicate a specified time): They arrived of an evening.
  13. [Chiefly Northern U.S.]before the hour of;
    until: twenty minutes of five.
  14. on the part of: It was very mean of you to laugh at me.
  15. in respect to: fleet of foot.
  16. set aside for or devoted to: a minute of prayer.
  17. [Archaic.]by: consumed of worms.

Alternate

al•ter•nate (v. ôltər nāt′, al-;adj., n. ôltər nit, al-),USA pronunciation v.,  -nat•ed, -nat•ing, adj., n. 
v.i. 
  1. to interchange repeatedly and regularly with one another in time or place;
    rotate (usually fol. by with): Day alternates with night.
  2. to change back and forth between conditions, states, actions, etc.: He alternates between hope and despair.
  3. to take turns: My sister and I alternated in doing the dishes.
  4. to reverse direction or sign periodically.
  5. to occur as a variant in alternation with another form.

v.t. 
  1. to perform or do in succession or one after another: to alternate comedy acts; to alternate jogging and walking.
  2. to interchange successively or regularly: to alternate hot and cold compresses.

adj. 
  1. being in a constant state of succession or rotation;
    interchanged repeatedly one for another: Winter and summer are alternate seasons.
  2. reciprocal;
    mutual: alternate acts of kindness.
  3. every second one of a series: Read only the alternate lines.
  4. constituting an alternative: The alternate route is more scenic.
  5. alternative (defs. 4, 6).
  6. [Bot.]
    • placed singly at different heights on the axis, on each side in succession, or at definite angular distances from one another, as leaves.
    • opposite to the intervals between other organs: petals alternate with sepals.

n. 
  1. a person authorized to fill the position, exercise the duties, etc., of another who is temporarily absent;
    substitute.
  2. [Theat.]
    • either of two actors who take turns playing the same role.
    • an understudy.
  3. alternative.
alter•nate•ly, adv. 
alter•nate•ness, n. 
alter•nat′ing•ly, adv. 

Interior

in•te•ri•or (in tērē ər),USA pronunciation adj. 
  1. being within; inside of anything;
    internal;
    inner;
    further toward a center: the interior rooms of a house.
  2. of or pertaining to that which is within;
    inside: an interior view.
  3. situated well inland from the coast or border: the interior towns of a country.
  4. of or pertaining to the inland.
  5. domestic: interior trade.
  6. private or hidden;
    inner: interior negotiations of the council.
  7. pertaining to the mind or soul;
    mental or spiritual: the interior life.

n. 
  1. the internal or inner part;
    inside.
    • the inside part of a building, considered as a whole from the point of view of artistic design or general effect, convenience, etc.
    • a single room or apartment so considered.
  2. a pictorial representation of the inside of a room.
  3. the inland parts of a region, country, etc.: the Alaskan interior.
  4. the domestic affairs of a country as distinguished from its foreign affairs: the Department of the Interior.
  5. the inner or inward nature or character of anything.
  6. the largest open set contained in a given set, as the points in a circle not including the boundary.

Angle

an•gle1  (anggəl),USA pronunciation n., v.,  -gled, -gling. 
n. 
  1. [Geom.]
    • the space within two lines or three or more planes diverging from a common point, or within two planes diverging from a common line.
    • the figure so formed.
    • the amount of rotation needed to bring one line or plane into coincidence with another, generally measured in radians or in degrees, minutes, and seconds, as in 12° 10prime;
      30ʺ, which is read as 12 degrees, 10 minutes, and 30 seconds.
  2. an angular projection;
    a projecting corner: the angles of a building.
  3. a viewpoint;
    standpoint: He looked at the problem only from his own angle.
    • slant (def. 11).
    • the point of view from which copy is written, esp. when the copy is intended to interest a particular audience: The financial editor added a supplementary article from the investor's angle.
  4. one aspect of an event, problem, subject, etc.: The accountant emphasized the tax angle of the leasing arrangement.
  5. [Motion Pictures, Photog.]See  angle shot. 
  6. [Informal.]a secret motive: She's been too friendly lately—what's her angle?
  7. any of the four interceptions of the equatorial circle by the two basic axes, the horizon and the meridian: commonly identified by the compass directions.
  8. See  angle iron (def. 2).
  9. [Slang.]play the angles, to use every available means to reach one's goal: A second-rate talent can survive only by playing all the angles.

v.t. 
  1. to move or bend in an angle.
  2. to set, fix, direct, or adjust at an angle: to angle a spotlight.
  3. to write or edit in such a way as to appeal to a particular audience;
    slant: She angled her column toward teenagers.

v.i. 
  1. to turn sharply in a different direction: The road angles to the right.
  2. to move or go in angles or at an angle: The trout angled downstream.

Theorem

the•o•rem (thēər əm, thērəm),USA pronunciation n. 
  1. a theoretical proposition, statement, or formula embodying something to be proved from other propositions or formulas.
  2. a rule or law, esp. one expressed by an equation or formula.
  3. [Logic.]a proposition that can be deduced from the premises or assumptions of a system.
  4. an idea, belief, method, or statement generally accepted as true or worthwhile without proof.
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