Geometry in My World

By Kai P

Finding the Area of an Irregular Shape

5.5in

4.5in

3in

3in

30in

23in

A1

A2

A3

A4

This is a picture of the glass cook top of my stove and in this picture I am finding the area of the cook top without the burners. The irregular shape of the cook top allows you to cook using various sizes of pots and pans and also the ability to evenly cook the contents of each pot or pan at the same time.

A

A Sector of a Circle

A sector of a circle is a region inside of a circle that is bounded by two radii of the circle and their intercepted arc. The term, sector of a circle is first introduced in Lesson 35 of Saxon Geometry.

This is a picture of a tomato that I was eating in a salad that I had with dinner one night. The sector of the circle “tomato” is the yellow slice.

Oblique Cylinder

An oblique cylinder is a cylinder with bases that are not aligned directly above one another. The oblique cylinder is first introduced in Lesson 62 of Saxon Geometry.

This is a picture of a toilet paper roll that I have fashioned into an oblique cylinder.

Perpendicular Lines

This is a picture of some of my favorite C.Ds that I always listen to. I took my C.Ds and turned them into a three dimensional perpendicular lines model.

Postulate 20

2.5in

12in

5in

Postulate 20 is a postulate that states, the area of a region is equal to the sum of the areas of its overlapping parts. Postulate 20 is first introduced in Lesson 40 of Saxon Geometry.

This is a picture of a wine box that we use to hold treats for our pets.

Point

A Point is an undefined term in geometry that names a location and has no size. The term a point was first introduced in Lesson 1.

This is a picture of an advent calendar that my family puts out in December that leads up to Christmas and the picture on the right is the same picture but zoomed in. the snowflakes do not have any purpose besides for decoration.

Cone

This is a picture of a sports training cone that I use for drills at soccer practice. These are often found all around the field marking boundaries, making goals, or even just a tool to help show where people should go after they have done a certain play.

A cone is a three dimensional figure with a circular base and a curved lateral surface that connects the base to a point called the vertex. Cones were first introduced in lesson 49.

The Area of a Semicircle

This is a picture of a window on the front door of my house.

9.5 in

Skew LinesSkew Lines are lines that are not coplanar which means that they are not located on the same plane and the lines cannot be parallel either. Skew lines were first introduced in Lesson 5 of Saxon Geometry.

This is a picture of a small box that contains dominoes. This box has many skew lines but the pair of lines shown above is just one example and the box has skew lines because it is a three dimensional object.

Theorem 5-5

Theorem 5-5 says If two lines form congruent adjacent angles then they are perpendicular.

This is a picture of the intersection of the line between the cabinets and the line between the cabinets and the drawer. Theorem 5-5 is introduced in Lesson 5 of Saxon Geometry.

Trapezoid

A Trapezoid is a quadrilateral with exactly one pair of parallel sides. Trapezoids were first introduced in Lesson 19.

This is a picture of the bread box that is in my kitchen. The shape of the side of the bread box is a trapezoid because it allows the bread box to hold a loaf of bread and allows the door to rest against the top of the box without anything holding it in position.

Rotation

This is a picture of one of my Invicta watch boxes. This box rotates because it allows you to open the box to put the watch in the box or to take it out.

This is the point of rotation

A rotation is a transformation about a point, also known as the center of rotation such that each point and its image are the same distance from the point. Rotations were introduced in Lesson 67 of Saxon Geometry.

The Volume of the Frustum of a

Coneh = 7in

r = 2in

r = 1.25in

This is a picture of a cup that I turned upside down. A Frustum of a cone is part of a cone with two parallel bases. A Frustum of a cone will be introduced in Lesson 103.

Net

A Net is a diagram of the faces of a three dimensional figure arranged in such a way that the diagram can be folded to form the original three dimensional figure. Nets are first introduced in Investigation 5 in Saxon Geometry.

Both of these are pictures of an addidas shoe box. The picture below is the net of the box to the right. I chose to use the shoe box as one of my slides because I wanted to see how it was made and how it stays together.

Theorem 44-1

11in

8in

8in

16.5in

12in

12in

This picture is of two different speed squares. Speed squares are objects that allow you to cut wood, metal, and other materials with a saw.

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Volume of a Sphere

This is a picture of one of my soccer balls and I wanted to include this picture because soccer is a very large part of my life.

r=4.5in

Similarity Statement

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This is a picture of a triangular puzzle that I have. The white pieces are flipped upside down to appear to be a larger triangle behind the smaller triangle in the center. Similarity Statements are introduced in Lesson 41 of Saxon Geometry.

Theorem 51-1 Isosceles Triangle Theorem

This is a picture of a Pawtucket Red Sox Pennant that I got when I was younger. The shape of the pennant is just for decoration and there is not any reason that I know of.

Theorem 51-1 says that if a triangle is isosceles then its base angles are congruent. In the example above the base angles are both 80˚ and the vertex angle is 20˚.

80 ˚

80 ˚

20 ˚

Surface Area of a Cylinder

This is a picture of a can of Planters peanuts and is one of my favorite things to have as a snack.

h=6in

r= 3.5in

Volume of a Cylinder

This is a picture of the container that holds the dog food. I chose this as one of my slides because I wanted to know exactly how much dog food that the container could actually hold.

THE END!