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Chapter One: Tools of Geometry |
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Geometry Notes Chapter 1 Section 1.1
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Take notes on the following topics.
Vocabulary: Coordinate(s) of a point (pp. 25, 43) The coordinate of a point is its distance and direction from the origin of a number line. The coordinates of a point on a coordinate plane are in the form (x, y), where x is the x-coordinate and y is the y-coordinate. Congruent segments (p. 25) Congruent segments are segments that have the same length. Midpoint of a segment (p. 26) A midpoint of a segment is the point that divides the segment into two congruent segments. Angle (p. 27) An angle is formed by two rays with the same endpoint. The rays are the sides of the angle and the common endpoint is the vertex of the angle. Acute angle (p. 28) An acute angle is an angle whose measure is between 0 and 90. Right angle (p. 28) A right angle is an angle whose measure is 90. Obtuse angle (p. 28) An obtuse angle is an angle whose measure is between 90 and 180. Straight angle (p. 28) A straight angle is an angle whose measure is 180. Congruent angles (p. 29) Congruent angles are angles that have the same measure.
Postulate 1-5 Ruler Postulate (p. 25)
The points on a line can be put into a one-to-one
correspondence with the real numbers so that the distance between
any two points is the absolute value of the difference of the
corresponding numbers.
Postulate 1-6 Segment Addition Postulate (p. 26)
If three points A, B, and C are
collinear and B is between A and C, then AB + BC = AC
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