Plane Geometry: Informal Statements

Plane Geometry
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Informal Statements:

(1) The sum of the three angles of a triangle is equal to one straight angle.
(2) Two straight lines can intersect at only one point.
(3) A line can be divided into two equal parts by only one point.
(4) A given angle can be divided into two equal parts by only one line.
(5) All straight angles are equal.
(6) All right angles are equal.
(7) Only one perpendicular can be drawn to a line at a point in the line.
(8) Complements of equal angles or of the same angles are equal.
(9) Supplements of equal angles or of the same angle are equal.
(10) The sum of all the angles about a point on one side of a straight line through the point is a straight angle.
(11) The sum of all the angles about a point is equal to 360 degrees.
(12) If the sum of two adjacent angles equals a straight angle, their exterior sides form one straight line.
(13) When two straight lines intersect, the vertical angles formed are equal.
(14) The sum of two sides of a triangle is greater than the third side.
(15) In any polygon, the sum of the exterior angle and the adjacent interior angle at each vertex is a straight line.
(16) In any polygon having (n) vertices, that is, (n) sides, the sum of one group of exterior angles and all the interior angles of the polygon is (n) straight angles.

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