Millau BridgeSir Norman Foster

Point, Lines, Planes, Angles

FallingwatersFrank Lloyd Wright

Millenium ParkFrank Lloyd Wright

Equidistant Points

Equidistant PointsA point that is the same distance away from two separate points is said to be equidistant from those points.

Points that are the same distance from a particular point are said to be equidistant from that point.

BA CB is equidistant from A and C.

BA C

A and C are equidistant from B.

Equidistant Points

Restated, equidistant means…

the same distance away from something.

Equidistant Points

Find a point that is equidistant from A and C.

A B C D

Find a point that is equidistant from A and D.

B

C

Equidistant Points

B is equidistant from…

A B C D

C is equidistant from…

A and C

A and D

Equidistant Points

E

D

CB

A

ABCD is a square. Name a point equidistant from A and C.

Name a point equidistant from B and D.

Name a point equidistant from A, B, C and D.

B or D

CA or

E

Equidistant Points

D

C

B

A

Find a point equidistant from A and C.

Find a point equidistant from A, B and C.

B or D

D

CompassThe compass is an instrument for creating equidistant lines.

All points on the green arc drawn by the compass are equidistant from A.

A

D

C

B

Equidistant PointsC is the center of the circle.

Find a point equidistant from E and D.

C

DG

EF

Find points that are equidistant from C.

C

D orE or

F

Equidistant

M

F E

D

CB

A

Find two points equidistant from A.

Find two more.

Find points equidistant from M.

B and F

C and E

A, B, C, D, E, F

D C

BA

Pole

TreeFountain

Equidistant Points

Find a point that is 10 m from the flag pole and equidistant from the fountain and the tree.

CFind another location.

P

Y

X

TF

What points are equidistant from point P?

What points are equidistant from point X?

X and Y

F and T

Equidistant Points

IH J

K

L

M

N

Find points equidistant from H and J.

I KN M

L

Summary

Equidistant means…

the same distance away from something.

SummaryA point that is the same distance away from two separate points is said to be equidistant from those points.

Points that are the same distance from a particular point are said to be equidistant from that point.

BA CB is equidistant from A and C.

BA C

A and C are equidistant from B.

C’est fini.

Which segment is bigger?

U

T

SR

How does the area of the larger square compare to the area of the smaller square ?

RS

Which segment is bigger?

U

T

SR

How does the area of the larger square compare to the area of the smaller square ?

Note that the corners fit inside the box. Therefore, the outside square is twice the area of the inside square.

RS

Which distance is greater,AB or AC ?

CB

A

AB = ACCheck with compass.

Which is greater, the product of abor the product of cd ?

dc

b

aThey are actually the same. But your calculations will be a little off due to measurements being only approximations and note exact.

What is the length ofthe dark stepped line?

17

17

1717

Red is 17.

Black is 17.

Total = 34.