# Alternate Interior Angle Theorem

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### Essence of Alternate Interior Angle Theorem

## Alternate

al•ter•nate(v. ôlv.,′tər nāt′, al′-;adj., n. ôl′tər nit, al′-),USA pronunciation-nat•ed, -nat•ing,adj., n.

v.i.

- to interchange repeatedly and regularly with one another in time or place;

rotate (usually fol. bywith):Day alternates with night.- to change back and forth between conditions, states, actions, etc.:
He alternates between hope and despair.- to take turns:
My sister and I alternated in doing the dishes.- to reverse direction or sign periodically.
- to occur as a variant in alternation with another form.

v.t.

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

adj.

- being in a constant state of succession or rotation;

interchanged repeatedly one for another:Winter and summer are alternate seasons.- reciprocal;

mutual:alternate acts of kindness.- every second one of a series:
Read only the alternate lines.- constituting an alternative:
The alternate route is more scenic.- alternative (defs. 4, 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.

- a person authorized to fill the position, exercise the duties, etc., of another who is temporarily absent;

substitute.- [Theat.]

- either of two actors who take turns playing the same role.
- an understudy.
- alternative.
aladv.′ter•nate•ly,

aln.′ter•nate•ness,

aladv.′ter•nat′ing•ly,

## Interior

in•te•ri•or(in tēradj.′ē ər),USA pronunciation

- being within; inside of anything;

internal;

inner;

further toward a center:the interior rooms of a house.- of or pertaining to that which is within;

inside:an interior view.- situated well inland from the coast or border:
the interior towns of a country.- of or pertaining to the inland.
- domestic:
interior trade.- private or hidden;

inner:interior negotiations of the council.- pertaining to the mind or soul;

mental or spiritual:the interior life.

n.

- 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.
- a pictorial representation of the inside of a room.
- the inland parts of a region, country, etc.:
the Alaskan interior.- the domestic affairs of a country as distinguished from its foreign affairs:
the Department of the Interior.- the inner or inward nature or character of anything.
- the largest open set contained in a given set, as the points in a circle not including the boundary.
## Angle

an•gle^{1}(angn., v.,′gəl),USA pronunciation-gled, -gling.

n.

- [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.- an angular projection;

a projecting corner:the angles of a building.- 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.- one aspect of an event, problem, subject, etc.:
The accountant emphasized the tax angle of the leasing arrangement.- [Motion Pictures, Photog.]See
angle shot.- [Informal.]a secret motive:
She's been too friendly lately—what's her angle?- 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.
- See
angle iron(def. 2).- [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.

- to move or bend in an angle.
- to set, fix, direct, or adjust at an angle:
to angle a spotlight.- to write or edit in such a way as to appeal to a particular audience;

slant:She angled her column toward teenagers.

v.i.

- to turn sharply in a different direction:
The road angles to the right.- to move or go in angles or at an angle:
The trout angled downstream.## Theorem

the•o•rem(thēn.′ər əm, thēr′əm),USA pronunciation

- a theoretical proposition, statement, or formula embodying something to be proved from other propositions or formulas.
- a rule or law, esp. one expressed by an equation or formula.
- [Logic.]a proposition that can be deduced from the premises or assumptions of a system.
- an idea, belief, method, or statement generally accepted as true or worthwhile without proof.