Other Congruence Properties
construction of congruent s by ASA on your own
construction of congruent s by AAS on your own
what about construction of congruent s by ASS? this is not possible
PROPERTIES OF QUADRILATERALS
Table
Trapezoida quadrilateral with
Geometry in Three Dimensions
Simple Closed Surfaces
* A simple closed surface has one interior, no holes, and is hollow.*
Ex. Sphere
a-d are simple closed surfaces
See Figure
e, f are not simple closed surfaces
Def. Spherethe set of all points at a given
More About Angles
Def. Vertical Anglespairs of angles such as angles 1 and 3 or 2 and 4.
Def. Supplementary Anglestwo angles whose sum of measures is 180.
Def. Complementary Anglestwo angles whose sum of measures is 90.
Def. Transversalany line that inter
Congruence Through Constructions
Def. Similar Objectsobjects that have the same shape, but not necessarily the same size. (~)
Def. Congruent Objectsobjects that have the same shape and the same size. ()
Congruence Similarity, but
Similarity Congruence
CON
Areas of Polygons and Circles
Area on a Geoboard (or dot paper)
addition method: sum the area of the figure by finding the area of the smaller parts and then
adding them together
Area of a Rectangle
Figure
Formula: A = lw
Area of a Parallelogram
Formula:
Linear Measure
*KEY*
Bigger to Smaller X
Smaller to Bigger /
English System
1 yd = 3 ft
1 ft = 12 in
1 mi = 1760 yd or 5280 ft
The Metric System
1 km = 1000 m -kilometer
1 hm = 100 m -hectometer
1 dam = 10 m -dekameter
1 m = base unit -meter
1 dm = 0.1 m
Volume, Mass, and Temperature
RECALL: To find the surface area you count squares; NOW, to find volume you count cubes
S.A. units are squares (i.e., square centimeters, square inches, .)
V. units are cubes (i.e., cubic centimeters, cubic inches,.)
Volume o
Polygons
See table (Text)
Def. Curvelies in a plane and is connected (it can be drawn without lifting a pencil).
Def. Closed curvecan be drawn with the starting and stopping points the same.
Def. Simple curvelines do not cross themselves and only two exte
Reflections and Glide Reflections
Reflections
Akaflip or mirror image (the orientation is reversed)
Size Transformations
Def. Size Transformationa size transformation from the plane to the plane with center O and
scale factor r (r is greater than zero) is
Other Constructions
construction of parallel lines and the relationship between this and a rhombus
look at Figure and paper folding
ANGLE BISECTORS
construction of an angle bisector
look at Figure paper folding
PERPENDICULAR LINES
construction of perpendi
Basic Notions
Fundamental Building Blocks of Geometry
1.
Points
2.
Lines
3.
Planes (Space)
Def. Collinear Pointspoints on the same line (any 2 points are collinear, but 3 need not be.
Points A, B, C are on and are collinear.
Points A, B, D are not colline