Project #3 Math 252

Circles

Area- II r^2

Radius- Half of the circumference

Circumference- 2IIr

Area

Rectangle- length x width

parallelogram- base x height

triangle- 1/2 base x height

trapeziod- 1/2 (base a + base b)h

Geometric Figures

To find the faces of prisims you look for the two shapes that are the same and perpendicual to the parallel sides

Naming the shapes- 1. The shape of the base 2. if it has right angle or oblique 3. what is the overall shape ex) pentagonal right prism When working with cones or pyramids if the center of the cone or pyramid is directly in the center of the base then it is a right triangle. If it is to the side then it is oblique.

Sum of angle measures- (n-2)180 degrees When trying to find one interior angle you do (n-2)180 degrees/n n being the # of sides

Quadadrilateral- trapezoid, parallelogram, rhombus, rectangle, square, kite

Regular Polygons- equilaterial triangle, square, pentagon, hexagon, heptagon, octagon, nonagon, decagon

Circle- semi-circle, sphere, cylinder, cone

Volume

Prism- length x width x height or Bh

Pyramid- 1/3 Bh

Cone- 1/3 II r^2h

Cylinder- Bh

B= length times with or the area of the base

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Triangles

Pythagorean Theorem- a^2 + b^2= c^2 This only works for right angles.

Scalene- no sides are the same

Isosceles- at least two sides are the same

Equilateral- all sides the same

All angles must equal 180 degrees

Perimeter

you add up all the sides for all shapes

circle- 2IIr

Angles

Supplementary- 2 angles added together=180

Supplementary- 2 angles added together=180
Corresponding- same angle but on different lines

Corresponding- same angle but on different lines

Vertical- angles that are the same but across from each other

Complementary- add up to 90 degrees

Congruent- opposite angles on different lines

Acute- less than 90 degrees Obtuse- more than 90 but less than 180 a right angle is exactly 90 degrees

Surface Area

Prisms and cylinder- 2B + ph

Pyramid- B + 1/2 ps

Cone- II r^2 +rs

Sphere- 4II r^2

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