GEOMETRY IN THE
REAL WORLD
By: Brooke Cox
4 th Block
What is a point?
◦ A point is an exact location in space.
◦ A point is denoted by a dot.
◦ A point has no size.
This picture is a real world
example of a point. It is a end of
a pencil representing a point. I
chose this picture because I
believed it was a good example
of a point.
http://commons.wikimedia.org/
wiki/File:Pencil_front_end.jpg
What is a line?
◦ A line has 0 endpoints
◦ Doesn’t have a midpoint
◦ It is infinitely long and straight
This is a interstate it’s a real world
example of a line. I chose this
picture because interstates go on
and are infinitely straight, it’s a
good example.
http://en.wikipedia.org/wiki/Mini_St
ack
What is a plane?
◦ A plane has two lines that cross to move 90 degrees
◦ It is a flat surface
◦ Extends infinitely in all directions
This desk top is a example of
a plane. I chose this picture
because students use this
everyday at school and it is a
flat surface that’s good as a
example of a plane.
http://1.bp.blogspot.com/_hv
UgLTILEVE/TI1miZuQhWI/AAAA
AAAASW8/rX_TaXdmfF4/s1600
/SchoolDesk.jpg
What is a segment?
◦ A segment has a midpoint
◦ It is a straight a line which links two points
without extending beyond them.
http://1.bp.blogspot.com/D55fs_YDYAQ/TrpS6eoL_TI/A
AAAAAAAEG8/uVsjZKP7BC8/
s1600/liversidge%252Bruler%2
52B9.11.11%252Bb.jpg
What is a ray?
◦ Has 1 endpoint
◦ Named by its endpoint
◦ Extends infinitely long in one
direction
◦ It is a portion of a line which starts
at a point and goes off in a
particular direction infinitely.
This picture is a picture of the
sun giving off rays. It is a
good example of a ray in the
real life world.
http://worldtreecircle.com/w
pcontent/uploads/2014/04/Su
n-ray.jpg
What is collinear points?
◦ A set of points that lie in a
straight line
◦ They are on the same line
These computers are in a straight line and the
same line. I chose this picture because it’s a
great example of collinear points in the real life.
http://www.technocrazed.com/wpcontent/uploads/2014/08/Top-10-AmericanEngineering-Innovations-That-Changed-OurLives-14.jpg
What is an acute angle?
◦ It is an angle that is less than 90 degrees
◦ It’s a little angle and less than a right angle
This picture is a picture of
a piece of pizza. I chose
this because it’s a little
angle which is an acute
angle. It was a good
example.
http://ed101.bu.edu/Stud
entDoc/Archives/fall03/b
ennettd/Images/PizzaAcu
teAngle.jpg
What is an obtuse angle?
◦ It is an angle that is greater than 90 degrees
This picture is a example of a obtuse
angle. The pitcher has his legs
angled as an obtuse angle and that
is why I chose this picture.
https://lehmansbaseball.files.wordpr
ess.com/2013/06/bronsonarroyo.jpg
What is an right angle?
◦ A angle that is measured exactly to 90 degrees
This is a example of a right angle. I chose this
picture because the way the computer is opened
it is at a right angle example.
http://www.techonthego.co.uk/wpcontent/uploads/2013/04/ToughGuard-MacBookPro-13-Hard-Case-Side-With-Lid-Open.jpg
What are perpendicular lines?
◦ Perpendicular lines are two or more lines that
intersect at a 90-degree angle.
◦ They intersect each other
This sign is an example of
perpendicular lines, and
that is why I chose this
picture.
http://ww2.valdosta.edu
/~dkrabel/perpendicular.
jpg
What are complementary angles?
◦ They are two angles that measure up to
90-degrees
This clocks hands are a example of a
complementary angle because it equals up
to 90 degrees. http://1.bp.blogspot.com/t7iH1e3EmAo/TpnbYr5_pBI/AAAAAAAAACU
/u35_6sXSEvM/s1600/DSCF6433.JPG
What are supplementary angles?
◦ Two angles whose sum are 180-degrees
A road like this is a good example for a
supplementary angle. Because it
equals up to 180 degrees.
http://image.mathcaptain.com/cms/i
mages/88/acute-angle-real-life-1.jpg
GEOMETRY IN THE REAL WORLD PT 2
(TRIANGLES)
Vertical Angles
◦ each of the pairs of opposite angles made by
two intersecting lines
◦ The picture shows vertical angles because
they intersect
Acute Triangle
◦ all angles are less than right angles—each one is less
than 90 degrees.
◦ In the picture all angles are less than 90 degrees
Obtuse Triangle
◦ one angle is greater than a right angle—it is
more than 90 degrees
◦ The picture shows one side that is an obtuse
and other is straight.
Equilateral Triangles
◦ all three internal angles are also congruent to each
other and are each 60°.
◦ This rubic cube shows triangles that all sides are equal
Isosceles Triangles
◦ has two sides of equal length
◦ This picture is a piece of pizza which two sides are
equal and the other is not.
Scalene Triangle
◦ has three unequal sides
◦ This picture shows all three sides are unequal