Download GEOMETRY REVIEW

GEOMETRY
REVIEW
Look how far we have come already!
Chapter 1 Terms
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Points
Lines
Planes
Coplanar
Collinear
Intersection
Distance (length)
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Segments
Rays
Midpoint
Congruent
Bisector
Angles
Adjacent
Chapter 1 Post.and Thms.
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Angle Addition
Segment Addition
Line (at least two points)
Plane (at least three points)
Space (at least four points)
One line through two points
Two points in a plane, then line between those
two points must also be in the plane
More Post. And Thms.
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Two planes intersect in a line
Two lines intersect in a point
If two lines intersect, one plane contains the
lines.
Three noncollinear points make exactly one
plane.
Chapter 2
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If-then Statements
 Hypothesis
 Conclusion
 Converse
 Inverse
 Contrapositive
 Biconditional
Counterexample
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Properties of
Equality and
Properties of
Congruence
Midpoint Theorem
Angle Bisector
Theorem
Chapter 2 Angles
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Vertical angles are congruent
Complementary angles = 90
Supplementary angles = 180
Acute angle < 90
Obtuse angle > 90
Straight angle = 180
Right angle = 90
Chapter 2 Perpendicular Lines
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Lines that form 90 degree angles (right angles)
Always form congruent adjacent angles
Chapter 3
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Parallel Lines: are coplanar lines that do not
intersect
AIAs
 CAs
 SSIAs
 SSEAs
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Skew lines: are noncoplanar lines
Transversal: a line that intersects two or more
coplanar lines
Chapter 3 Triangles
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Scalene: no sides congruent
Isosceles: at least two sides congruent
Equilateral: all sides congruent
Acute: three acute angles
Obtuse: one obtuse angle
Right: one right angle
Equiangular: all angles congruent
BIGGEST THING ABOUT
TRIANGLES
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All angles must equal 180 degrees!
Exterior angle = to the sum of the two remote
interior angles
Chapter 3 Polygons
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The sum of the measures of the angles of a
polygon is (n – 2)180
The sum of the measures of the exterior angles
of a polygon is always 360
A regular polygon is equiangular and equilateral