Project #3 Math 252

Honelako gehiago

Geometry/Measurement Project

by Marci Hohner

Measurement Project Concept Map

by math project

Kyle's Math Mind Map

by Kyle Rasor

Angles and Parallel lines

by Niko Bellic

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