The document provides definitions and descriptions of basic geometry terms like rectangular prisms, chords, diameters, radii, angles, cylinders, spheres, circles, cubes, polygons, parallel and perpendicular lines, and triangles. It uses everyday objects and photos to illustrate the concepts in real world examples taken around the person's home and local areas.

1. Geometry in Our World

2. Rectangular Prism
Rectangular Prism:
A polyhedron; A
prism with two
1 identical, rectangular
bases.
The two bases of this
2 iPhone are
congruent in size
despite their
difference in color.

3. Chords
Chord: A segment whose
endpoints lie on a circle.
Chords can also be
referred to as one of the
radii or the diameter of a
circle.
All radii and diameters of
a circle are chords, but
not all chords can be
renamed a radius or
diameter.

4. Diameters and Radii of a
Circle
Diameter: A segment
that passes through the
center of a circle and
has endpoints on the
circle; the length of such
a segment.
Radius: A segment
whose endpoints are the
center of a circle and a
point on the circle; also
the length of that
segment.

5. Acute Angle
Acute Angle: An
angle that measures
greater than 0˚ and
less than 90˚.

6. Cylinder
1 Cylinder: A three-
dimensional figure
with two parallel
congruent circular
1 bases and a curved
lateral surface that
connects the bases.
2
2

7. Sphere
Sphere: The
set of points in
space that are
a fixed
distance from
a given point
called the
center of the
sphere.

8. Circle
Circle: The set of
points in a plane
that are a fixed
ad ius distance from a
R given point called
the center of the
circle.
The distance from
each point to the
center of the circle
Center of the is know as the
Circle radius.

9. Obtuse Angle
Obtuse Angle: An
angle that
measures greater
than 90˚ and less
than 180˚.

10. Parallel Lines
Parallel Lines:
Lines in the
same plane that
do not intersect.
Note: Parallel
lines always
have congruent
slopes.

11. Rectangles
Rectangle: A
quadrilateral with
four right angles.
Note: The sum of all
of the interior angles
in a rectangle is
360°.

12. Cube
Cube: A prism with six square
faces.
5 To find the volume of this
4 cube, one could use the
equation for the volume of a
3 cube.
1 2 If the formula for volume is
V= s3, and each side(s) of the
cube is 4.5 inches in length,
then the volume of this cube
6 equals 4.53 or 4.5 x 4.5 x 4.5.
4.53 = 91.125
Therefore, the volume of this
cube is equal to 91.125
inches3.

13. Skew Lines
Skew Lines: Lines
that are not
coplanar.
Noncoplanar lines
are lines that do not
exist in the same
plane. Therefore,
skew lines will
never intersect.

14. Decagon
Decagon: A 10-sided
10 1 polygon.
2
9
3
Note: The sum of the
8
4 interior angle
measures of a
7
6
5 decagon is 1,440°.

15. Postulate 11:
Corresponding Angles Postulate
Postulate 11 states:
If two parallel lines are cut
by a transversal, then the
corresponding angles are
congruent.
1 2
By Postulate 11, angle 1 is
congruent to angle 2
because the
transversal(the purple
line) cuts the parallel
lines(the blue lines). The
corresponding angles
formed, angles 1 and 2, are
therefore congruent.

16. Diagonal of a Polygon
Diagonal of a polygon: A
A= 18in segment connecting two
nonconsecutive vertices of a
polygon.
B= The length of one of the
C diagonals can be determined
11.5in through use of the
Pythagorean Theorem
because a single diagonal
creates two congruent right
triangles.
Pythagorean Theorem= A2+B2=C2 A= 18 inches and B= 11.5 inches
182 + 11.52 = C2 324 + 132.25 = C2 C2 = 456.25 C = 21.36 in

17. Octagon
Octagon: An eight-sided
polygon.
Note: The sum of all of the
interior angle measures of an
octagon is 1,080°.

18. Triangle
Triangle: A three-sided
polygon.
Note: The interior angle
measure of all triangles is
180°.

19. Similar Polygons
Similar Polygons:
Polygons whose
corresponding angles
are congruent and
whose corresponding
sides are proportional.
The metal structure
holding the streetlight
is formed by using
similar polygons. The
smaller polygon shares
two angles with the
larger polygon. The two
remaining angles in
each figure are
congruent as well.

20. Perpendicular Lines
Perpendicular Lines:
Lines that intersect at
90˚.
90° Angle
Theorem 5-3 is
commonly used in
regard to
perpendicular lines. It
states, “ In a plane (in
90° Angle this case, the window),
if a line is
perpendicular to one of
two parallel lines, then
it is perpendicular to
the other one.
Therefore, the purple parallel lines are both perpendicular to the blue line that
intersects them at a 90° angle.

21. Right Angle
Right Angle:
An angle that
measures 90˚.

22. Where were the photos
taken?
Slide 2: The item that is used to represent a rectangular prism is my
iPhone. This photo was taken in my room on top of my desk.
Slide 3: This clock belongs to my younger brother, and is hanging up on
his bedroom wall.
Slide 4: One of the two lamps I have in my bedroom is used in this
picture.
Slide 5: My hair iron is pictured here, in my room. I keep on top of my
bureau, as it is in this picture.
Slide 6: The picture on the right is of my hair spray bottle. This is a
product that I use on a regular basis. The picture on the right was
taken the night my mom was given a charm for her bracelet as a gift.
Slide 7: The top picture is of my basketball, and the bottom is of my
volleyball. Both of these sports are very important to me, and require
a large amount of my time.
Slide 8: This is a CD that was made for me as a gift. I keep it in my desk in
my room.

23. Where was this photo
taken? cont.
Slide 9: My laptop is kept on my desk in my room, and is a huge help
when I have school projects.
Slide 10: The top picture on this slide is of the vents found on the ceiling
of my bedroom. The second picture I took while out to dinner with my
family. They were the blinds on the windows.
Slide 11: These rectangular cases are used for storage on top of my
bureau.
Slide 12: This Vera Bradley cube was given to me as a gift, and is now
used to hold my camera.
Slide 13: My laptop is similarly used in this picture.
Slide 14: This star can be found on the birthday banner that my mom
hangs up to celebrate each person’s birthday in my family.
Slide 15: I took this picture as I was driving into Plymouth with my family.
We go to Plymouth often.
Slide 16: The screen of the main computer in my house is depicted in this
picture.

24. Where were the photos
taken?
Slide 17: This stop sign is located right off the highway leading into
downtown Plymouth.
Slide 18: The picture of this yield sign was taken coming off the highway
leading into downtown Plymouth as well.
Slide 19: These lights are located in Carver near the Cumberland Farms
and car wash. The metal supports that hold the light in the air create
proportional polygons.
Slide 20: One of the windows in my room is pictured here as an example
for perpendicular lines.
Slide 21: This is a photo of the corner of the large mirror I have in my
room.
*The definitions used in this project were obtained from the Saxon
Geometry book as well as the internet.