Definition Alternate Interior Angles #7 Alternate Interior Angles- Alternate Interior Angles Theorem

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Definition Alternate Interior Angles #7 Alternate Interior Angles- Alternate Interior Angles Theorem

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Definition

def•i•ni•tion (def′ə nishən),USA pronunciation n. 
  1. the act of defining or making definite, distinct, or clear.
  2. the formal statement of the meaning or significance of a word, phrase, etc.
  3. the condition of being definite, distinct, or clearly outlined.
  4. sharpness of the image formed by an optical system.
  5. the accuracy of sound or picture reproduction.
def′i•nition•al, adj. 
def′i•nition•al•ly, adv. 

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.

Angles

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.

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.

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.

Angles

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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