Kategóriák: Minden - volume - surface - angles - polygons

a Michaela George 11 éve

235

Project #3 Math 252

The document addresses the properties and measurements of various geometric figures, including polygons, quadrilaterals, and circles. It explains how to determine the faces of prisms and the classification of shapes based on specific criteria like the shape of the base and the presence of right or oblique angles.

Project #3 Math 252

Project #3 Math 252

Surface Area

Sphere- 4II r^2
Cone- II r^2 +rs
Pyramid- B + 1/2 ps
Prisms and cylinder- 2B + ph

Angles

Acute- less than 90 degrees Obtuse- more than 90 but less than 180 a right angle is exactly 90 degrees
Congruent- opposite angles on different lines
Complementary- add up to 90 degrees
Vertical- angles that are the same but across from each other
Corresponding- same angle but on different lines
Supplementary- 2 angles added together=180

Perimeter

circle- 2IIr
you add up all the sides for all shapes

Triangles

All angles must equal 180 degrees
Equilateral- all sides the same
Isosceles- at least two sides are the same
Scalene- no sides are the same
Pythagorean Theorem- a^2 + b^2= c^2 This only works for right angles.

Volume

Subtopic
B= length times with or the area of the base
Cylinder- Bh
Cone- 1/3 II r^2h
Pyramid- 1/3 Bh
Prism- length x width x height or Bh

Geometric Figures

Circle- semi-circle, sphere, cylinder, cone
Regular Polygons- equilaterial triangle, square, pentagon, hexagon, heptagon, octagon, nonagon, decagon
Quadadrilateral- trapezoid, parallelogram, rhombus, rectangle, square, kite
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
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.
To find the faces of prisims you look for the two shapes that are the same and perpendicual to the parallel sides

Area

trapeziod- 1/2 (base a + base b)h
triangle- 1/2 base x height
parallelogram- base x height
Rectangle- length x width

Circles

Circumference- 2IIr
Radius- Half of the circumference
Area- II r^2