Perpendicular Bisectors and Voronoi Diagrams

How many vertices are in the diagram?

• 4

• 5

• 1

• 2

• 3

Answer explanation

Vertices:  The points at which the edges meet.  Each vertex is equally closest to the sites who cells meet at that vertex.

We labeled the vertices in purple on the diagram. Any point formed by edges makes a vertice.

Tags

CCSS.6.G.A.4

How many edges are in the diagram?

• 3

• 5

• 10

• 8

• 7

Answer explanation

• Edges/Boundaries:  The lines which separate the cells formed by the perpendicular bisectors of the line segments joining the sites. Each point on an edge is equally closest to the two sites whose cells are adjacent to that edge.

Each edge is a different color in the diagram so we can see there are 8.

Tags

CCSS.6.G.A.4

Given you have two points and are asked to find the perpendicular bisector, what step should you do first?

• Skip the problem

• Find the distance between the two points

• Find the equation of the line

• Find the midpoint of the two given points

Tags

CCSS.HSG.CO.A.1

Write the equation of the perpendicular bisector of the line AB given:
A(3,1) & B(-3,6)

• y = -5/6x + 7/2

• y = 6/5x + 9/2

• y = 6/5x + 7/2

• y = 6/5x + 4

Write the equation of the perpendicular bisector of the line AB given:
A(4,-2) & B(4,4)

• y = 2

• x = 1

• y = x + 1

• y = 1

Write the equation of the perpendicular bisector of the line AB given:
A(-4,3) & B(4,3)

• y = 3

• x = 0

• y = x

• y = 0

Find HG

• 28

• 14

• 41

• 7

Tags

CCSS.HSG.CO.C.9

The point where the 3 perpendicular bisectors of a triangle cross is called the ___?

• Midsegment

• Incenter

• Circumcenter

• Centroid

Tags

CCSS.HSG.C.A.3

The figure is an example of a(n) ...

• altitude 

• perpendicular bisector

• midsegment

• angle bisector

The CIRCUMCENTER is the intersection of which special segments?

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

Tags

CCSS.HSG.C.A.3