Geometry in My WorldBy Brody K

Triangle

This is my mailbox. This picture was taken in my front yard. It isn't used very often because no one sends mail anymore.

This is a triangle. It is a triangle because it has three sides that connect to each other and all the angles add to 180 degrees.

Postulate 5

This is my baseball bat that I got at the beginning of last season. It is made of ash wood.

Postulate 5 states that through any two points there exists exactly one line. If you look at the knob and the head of the bat as points then the body of the bat is the only line that can connect them.

Theorem 6-4

This is the cabinet for the T.V in my living room it holds the T.V that I watch with my family.

Theorem 6-4 states that if two angles are vertical angles then they are congruent. Vertical angles are the nonadjacent angles that form by two intersecting lines. The design in this cabinet door creates two right angles that are also vertical angles and they are congruent.

Right Angle

This is the downspout for the gutter on my house. All it really does is get water off of my roof.

A right angle is an angle that has a measure of ninety degrees. You can tell it’s a ninety degree angle because the two lines that create the angle are straight and are perpendicular.

Rectangular Prism

This is the box that my headphones came in. It was a Christmas present.

A prism is a polyhedron formed by two parallel congruent polygonal bases connected by lateral faces that are parallelograms. What is special about this prism is that all of its faces are rectangles.

Diameter

This is a Celtics flag that is in my room. It is a part of my collection of sports things.

A segment that passesthrough the center of a circle and has endpoints on thecircle is its diameter.

Parallel Lines

This is a rack from my microwave. I use the microwave to cook my favorite snack, popcorn.

Parallel lines are lines in the same plane that do not intersect.

Volume of a Cone

3.5ft diameter6ft height

This was my Christmas tree that my family selected and cut down at the tree farm. It was sitting in my living room and when it was decorated it was very festive and jolly.

To find the volume (V)of a cone you have to use the formula V=1/3Bh. B is the area of the base and h is the height. So the volume of my Christmas tree is 5.78π cubic feet

Lateral area of a Cylinder

9 in. diameter 12 in. height

This is a bird feeder. It is my moms and it hangs from a tree in my backyard. Looks like the birds are going hungry this winter as it’s empty!

The formula for the lateral area (L) of a cylinder is L=2πrh, r is the radius and h is the height. So the lateral area is 108π cubic in.

Obtuse angle

This is the swing set in my backyard. I don’t use it anymore but my sister loves playing on it with her friends.

An obtuse angle is an angle that measures greater than 90° and less than 180°.

Acute angle

This is a picture of the roof of my house. It is very important because it keeps my family warm and dry.

An acute angle is an angle that measuresgreater than 0° and less than 90°.

Regular Hexagon

This is another one of my moms bird feeders. She uses it to feed the birds in the spring and summer.

A Hexagon is a six-sided polygon. The special thing about this hexagon is that each side has the same length of 6 in. This makes it easier to do things like find the perimeter (P).

P=nl with n being the number of sides which, in this case, is 6. l is the length of one side which is also 6. Therefore P=6 in. x 6 in. which equals 36 in.

Each side 6 in.

Congruent shapes

8 1/4in length 8 3/4in width

This is the door to one of the rooms in my house. It is usually used to keep out my sister when she is being annoying!

Congruent shapes are shapes that have the same size and shape.

So that means they should have the same area (A). The formula for area is A=lw with l being the length and w being the width so both their areas are 72.1875 inches.

Alternate interior angles

This is a table that is outside in my backyard being stored for winter. When it gets warmer my family will occasionally eat outside on it.

Alternate interior angles are a pair of nonadjacent angles that lie on opposite sides of the transversal (line in the middle connecting the two V shapes lines)and between the other two lines.

Theorem 6-2

This is a painting in my parents bed room. The dog on the bed looked like my old dog Sam.

Theorem 6-2 states that if two angles are supplementary to the same angle or to congruent angles, then they are congruent.

Collinear points

This is my parents dresser. It is in their bedroom. They use it for the same reason I do, to sit a T.V on and to hold clothes in it.

The knobs of the drawers that are in yellow are all points on the same line, which means they are collinear.

Postulate 7

Plane 1

Plane 2

Postulate 7 says that if two planes intersect then their intersection is a line. This is true in the picture. If you look at the wall and the ceiling you see them intersecting. You can tell by the red line that they are intersecting at exactly one line.

This is the wall and ceiling of my living room. This room is where I hang out with family and friends.

Sphere A sphere is a set of points that are a fixed distance from a given point called the center of the sphere. The Gold you can see on the outside are the fixed points and the center point is in the very middle.

This is a picture of a sculpture of a golden sphere and a dragon. It was taken by my dad in Dubai while he was on active duty for the Navy.

Horizon Line

A horizon line is a line in a perspective drawing that contains a vanishing point. The red line is the horizon line and the vanishing point is the green point in the middle.

This is a picture my dad took while he was over seas for military work in Dubai. The boats you see are the boats his squadron uses.

Semicircle

A Semicircle is an arc of a circle whose endpoints lie on a diameter. In This Picture the yellow line right above the word pride is the diameter.

This is a picture of a coconut carved into the shape of a monkey wearing a baseball hat of the team I play on. It also has headphones on. I got the coconut monkey on a family vacation to Florida.

Credits

Definitions to the vocabulary words, postulates and theorems were acquired from the Saxon Geometry textbook.

Cover artwork found online at http://www.graniteschools.org/depart/teachinglearning/curriculuminstruction/math/secondarymathematics/Pages/Geometry.aspx