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46 Cards in this Set

  • Front
  • Back
point
smallest geometric unit
line
set of points that extend indefinitely in two directions
line segment
-portion of a line
-has 2 endpoints
ray
-"half of a line"
-has one endpoint
-extends indefinitely in one direction
parallel lines
-same slope
-never intersect
angle
-formed with two rays that share the same endpoint;
-measured in degrees with a protractor
Types of Angles
1)Acute
2)Right
3)Obtuse
4)Straight
5)Reflex
Acute Angle
measurements less than 90˚
(<90˚)
Right Angle
measurements equals 90˚
(=90˚)
Obtuse Angle
measurements are greater than 90˚, but less than 180˚
(90˚<x<180˚)
Straight Angle
Measurement equals 180˚
(=180˚)
Adjacent Angles
share a side and have a common vertex
Vertical angles
formed when two lines intersect
*have the same measure
-share a vertex, but not a side
Complementary Angles
two angles that add up to 90˚
Supplementary Angles
two angles that add up to 180˚
Alternate Interior Angles
interior angles on opposite sides of the transversal
-same measure
Alternate Exterior Angles
exterior angles on opposite sides of the transversal
-same measure
corresponding angles
one interior and one exterior angle on the same side of the transversal
-same measure
polygon
closed figure in a plane determined by 3 or more line segments
triangle
-smallest polygon
-has 3 sides
-interior angles add up to 180˚
sum of interior measures of a polygon
(n-2) X 180˚
(n is the number of sides of the polygon)
regular polygon
lengths of sides are the same angle measurements are equal
similar polygon
-same shape, but different size
-angles are the same
-lengths of sides are proportional
congruent figures
-exactly the same
-angles and sides are the same
perimeter
the distance around the figure
-add all sides
(ft, in, m, cm, yd)
Area
interior measurement of a bounded region 2 dimensional. is squared
Pythagorean Theorem
The sum of the square of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse

a² + b²= c²
circumference
distance around a circle

C=2∏r
Area of a Circle
A=∏r²
Volume
measure of the capacity o a figure that is 3 dimensional
Triangle
-3 sides
-A=½bh
Quadrilateral
-4 sides-2 triangles
Rectangle A=lw
Square A=s²
Parallelogram A=bh
Trapezoid A=½h(b₁+b₂)
pentagon
-5 sides
-3 triangles
hexagon
-6 sides
-4 triangles
heptagon
-7 sides
-5 triangles
octagon
-8 sides
-6 triangles
nonagon
-9 sides
-7 triangles
decagon
-10 sides
-8 triangles
volume of a rectangular solid
V= l X w X h
volume of a cube
V=s³
volume of a cylinder
V=∏r²h
volume of a cone
V=⅓∏r²h
volume of a sphere
V=⁴⁄₃∏r³
Euler's Polyhedron Formula
number of vertices-number of edges+number of faces=2
Volume of a prism
V=Bh
where B is the area of a base
volume of a pyramid
V=⅓Bh
where B is the area of the base