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An altitude is a line which passes through a vertex of a triangle, and meets the opposite side at right angles

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a line at right angles to a side that goes through the opposite corner.

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-Formed by extending one of the sides of the triangles
-Can help to find interior supplementary angle

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auxiliary:Internet Definitions
Altitude- An altitude is a line which passes through a vertex of a triangle, and meets the opposite side at right angles.
Remote Angles- The remote interior angles are just the two angles that are inside the triangle and opposite from the exterior angle.
Auxiliary Line- The following proof introduces you to a new idea: adding a line or segment (called an line to a proof diagram to help you do the proof
Parallel Postulate-If the sum of the interior angles α and β is less than 180°, the two straight lines, produced indefinitely, meet on that side
Triangle Sum Thereom- The sum of the interior angles of any triangle  is equal to 180 degrees.
Exterior Angles Thereom-  the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.

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-Added to original shape
-Used to find exterior angle measures
-Always dotted or marked to show that it's not original

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Remote interior angle is circled (in picture)

Supplementary angles- angles which measures add up to a sum of 180 degrees

Triangle sum theorem- the angles of a triangle add up 180 degrees

Exterior angles theorem- measure of an exterior angle is equal to the sum of two remote interior angles. For example below m<1+m<2=m<4

Remote interior angles- interior angles not directly adjacent to an exterior angle

Auxiliary line- a line drawn through a point on a triangle making it parallel to the base but not changing the triangle or its properties

Parallel postulate- if a there is a line and a point not on that line, then there is only one line that can be drawn through that point that is parallel to the original line.

Altitude- a line drawn from one vertex of a triangle down to the opposing side, perpendicular to that side.

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Altitude- a segment drawn from a vertex that is perpendicular to the opposite side

Remote angles- an interior angle that is not adjacent to a given exterior angle

supplementary angles- t two angles with the sum of 180*

Auxiliary line- a line you draw to complete a proof

Parallel postulate- there is a drawn line through a point not on the shape at is parallel to the other original line

Triangle Sum Theorem- the angles of a triangle add up to 180*

Exterior Angles Theorem- the exterior angle on a triangle is equal to the sum of the two nonadjacent angles

Auxiliary line are fair because they only assist the proof but don't make an assumptions.

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Altitude: A segement from a vertex of a triangle, perpendicular to the opposite side of the triangle

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From any point that is not on the line, there is exactly one line that can be drawn that is parallel to that line. Basically it's saying when you have one line and you create a point somewhere (not on the line itself) there's only one way to make it parallel. This works because multiple lines from a point can't be parallel.

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An auxiliary line is the line added to a figure in a proof to help you complete the proof

Supplementary angles are two angles that are adjacent and add up to 180 degrees

The altitude of a triangle is a segment from a vertex of a triangle perpendicular to the opposite side of the triangle

A remote interior angle of a triangle is an interior angle that is not adjacent to a given exterior angle

The parallel postulate states that through any point P that is not on line I, there is exactly one line that can be drawn that is parallel to line I

The Triangle Sum Theorem states that all three angles of triangles will create a straight line when set adjacent to each other

The exterior angles theorem states thatan  exterior angle of a triangle is equal in measure to the sum of the measures of its two remote interior angles

We believe auxiliary lines are fair because they add extra angles that can provide more information which can lead to the solution of the proof.

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Definition- By Brendan, Michael, and Amber

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Definition- By Brendan, Michael, and Amber

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An auxiliary line is a line added to a diagram to help in a proof of in determining the solution to a problem

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Altitude
Remote Angles
Supplementary Angles: two Angles that add up to 180 degrees
Auxiliary Line: a line that is added to complete a proof
Parallel Postulate
Triangle Sum Theorem: all of the angles of a triangle add up to 180 degrees.
Exterior Angles Theorem
Are auxiliary Angles fair?

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A line added to a figure to help you complete a proof.

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From any point that is not on the line, there is exactly one line that can be drawn that is parallel to that line. Basically it's saying when you have one line and you create a point somewhere (not on the line itself) there's only one way to make it parallel. This works because multiple lines from a point can't be parallel.

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Two angles on the same line that add up to 180 degrees

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Altitude- a segment from a vertex of a triangle perpendicular to the opposite side of the triangle.

Remote angles-  An interior angle hat is not adjacent to a given exterior angle

Supplementary angles- the sum of two angles that equals 180°

Auxiliary line- A line added to a diagram to help in a proof or in determining the solution to a problem

Parallel Postulate- if there is a line and a point not on a line, then there is exactly one line through the point parallel to the given line

Triangle sum Theorem- the sum of the measures of the angles of a triangle is 180°

Exterior angles Theorem- the measure of an exterior angle is equal to the sum of the measure of the two non-adjacent angles

A

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Please include the following on this padlet:

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Please include the following on this padlet:

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Altitude
Remote Angles
Supplementary Angles
Auxiliary Line
Parallel Postulate
Triangle Sum Theorem
Exterior Angles Theorem
Are Auxiliary Angles Fair?
....anything else you find important!