Millenium Park
Frank Lloyd Wright
Millau Bridge
Sir Norman Foster
Fallingwaters
Frank Lloyd Wright
Point, Lines, Planes, Angles
Equidistant Points
Equidistant Points
A point that is the same distance away from two
separate points is said to be equidistant from those
points.
A
B
C
B is equidistant from A and C.
Points that are the same distance from a
particular point are said to be equidistant
from that point.
A
B
C
A and C are equidistant from B.
Equidistant Points
Restated, equidistant means…
the same distance away from something.
Equidistant Points
A
B
C
D
Find a point that is equidistant
from A and C.
B
Find a point that is equidistant
from A and D.
C
Equidistant Points
A
B
C
D
B is equidistant from…
A and C
C is equidistant from…
A and D
Equidistant Points
Name a point equidistant
from A and C.
ABCD is a square.
C
B
D
Name a point equidistant
from B and D.
E
A
B or
A or
D
C
Name a point equidistant
from A, B, C and D.
E
Equidistant Points
Find a point equidistant from A and C.
B
B or
D
Find a point equidistant
from A, B and C.
D
A
D
C
Compass
The compass is an instrument for creating equidistant lines.
B
All points on the green arc
drawn by the compass are
equidistant from A.
C
A
D
Equidistant Points
C is the center of the circle.
F
Find a point equidistant
from E and D.
E
C
Find points that are
equidistant from C.
C
E or
G
D
F
D or
Equidistant
Find two points equidistant from A.
B and F
C
B
Find two more.
C and E
M
D
A
Find points
equidistant from M.
A, B, C, D, E, F
F
E
Find a point that is
10 m from the flag
pole and
equidistant from
the fountain and
the tree.
C
Find another location.
Equidistant Points
What points are
equidistant from point P?
Y
X and Y
P
What points are
equidistant from point X?
X
F
F and T
T
Equidistant Points
K
Find points equidistant
from H and J.
M
I
N
M
N
H
I
L
J
L
K
Summary
Equidistant means…
the same distance away from something.
Summary
A point that is the same distance away from two
separate points is said to be equidistant from those
points.
A
B
C
B is equidistant from A and C.
Points that are the same distance from a
particular point are said to be equidistant
from that point.
A
B
C
A and C are equidistant from B.
C’est fini.
T
How does the area of the larger square
compare to the area of the smaller square ?
S
R
U
Which segment is bigger?
RS
T
How does the area of the larger square
compare to the area of the smaller square ?
S
R
U
Which segment is bigger?
RS
Note that the corners fit inside
the box. Therefore, the outside
square is twice the area of the
inside square.
Which distance is greater,
AB or AC ?
A
AB = AC
B
C
Check with compass.
Which is greater, the product of ab
or the product of cd ?
a
c
d
b
They are actually
the same. But
your calculations
will be a little off
due to
measurements
being only
approximations
and note exact.
17
What is the length of
the dark stepped line?
Red is 17.
Black is 17.
17
17
17
Total = 34.