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Transcript
Guided Notes Chpt. 1 Geometry
1-1
A grid system for plotting points is called the Cartesian ______________ plane.
X axis is __________________
Y axis is __________________
Quadrants
Collinear --- set of points that lay on the same ___________________
Noncollinear --- points that _______________ lay on the same line
Y = MX + B
Slope --
m= _______________
rise / __________
Example positive slope
1-2
Point---Line ---Plane ---Coplanar---
b = _____________
formula
Example negative slope
Labeling & examples
Point
line segment
line
ray
Angle
1-3 Formulas
Perimeter --- ___________up all the sides of a polygon
Area
Rectangle-
triangle-
Square-
C = 5/9 (F-32) ___________________________
F = 9/5 (C + 32) __________________________
1-4 Measuring Segments
A _________________ is a statement that is assumed to be true
Ruler Postulate -- (distance) is always _____________________
Segment Addition Postulate - Part + Part is a __________________
Examples-
plane
Distance formula -----
Pythagorean Theorem --examples
1-5 Midpoint
Midpoint formula-
** find the horizontal distance – cut in half
find the vertical distance – cut in half
Definition of Midpoint –
Definition of Bisect-
Definition of Congruent-
1-6 Angles
Part of an angle-
A ______________________ is a tool to measure the degrees of an angle.
Angle Additon Postulate Example
Definitions of AnglesAcute ----
__________ ---- greater then 90 degrees
Right -----
Angle Bisector—cuts an angle into ___________ equal parts
1-6
Angle Relationships
Lines that meet at exactly 90 degrees are ________________ lines
Types of Angles
___________________ angles that are side by side
example
Vertical angles – angles that are formed by ________________ lines
example
_____________________________ a pair of angles that are adjacent angles that form a
line (opposite rays)
example
_________________ angles add up to be 90 degrees
example
Supplementary angles add up to be _______ degrees
example
Postulates-
Vertical Angles are __________________
_____________________ lines form 4 right angles
Vocabulary WordsAcute angle, adjacent angles, angle bisector, collinear, complementary angles, congruent,
coplanar, linear pair, midpoint, noncollinear, obtuse angle, perimeter, perpendicular line,
plane, postulate, pythagorean theorem, segment bisector, supplementary angles, vertical
angles, vertex, ordered pair, quadrants, distance formula, midpoint formula