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- 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
- Volume
- measure of the capacity o a figure that is 3 dimensional
- 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 cylinder
- V=∏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
- volume of a pyramid
- V=⅓Bh
where B is the area of the base
