Perpendicular Bisectors and Voronoi Diagrams

What can you say about the points which lie in the green cell?

• Closest to A

• Closest to B

• Closest to C

• Closest to D

• Closest to B and D

Answer explanation

Here we color-coded each cell. The question asked what do we know about the green cell. Since site A is in the green area of the diagram all the points in that area are closest to site A. If the point we were looking at was in the pink area that point would be closest to site B and so on.

Tags

CCSS.HSG.CO.C.9

What can you say about the points on the blue edge?

• Equally close to C and D

• Closest to C

• Closest to D

• Furthest from A

• Equally close to A and C

Answer explanation

Since the blue edge separates cells C and D the points on that line are the same distance away from both sites C and D.

Tags

CCSS.HSG.CO.C.9

Which site is closest to (1,5)

• A

• B

• C

• D

• they are all equidistant

Answer explanation

The point (1,5) is located in cell A.

To do a problem like this, plot the point and see what area of the diagram that point is in.

Tags

CCSS.HSG.GPE.B.7

What can you say about the red vertex (little red circle)?

• Closest to B

• Equally close to A and C

• Equally close to B and C

• Equally close to A, B and C.

• Closest to D

Answer explanation

The red dot is a vertex and a vertex is the point at which the edges meet.  Each vertex is equally closest to the sites who cells meet at that vertex.

Since this ine connects the edges between B and C and A and B, that point is the same distance to each of those sites.

Tags

CCSS.HSG.GPE.B.7

If CB is a perpendicular bisector, find the value of x.

Tags

CCSS.HSG.CO.C.9

In the given proof, what is the reason for step 1?

• Angles that form a linear pair are supplementary.

• Angles of Equal Measure are Congruent

• Reflexive Property of Congruence

• Definition of a Perpendicular Bisector

Tags

CCSS.HSG.SRT.B.5

Tags

CCSS.HSG.CO.C.9

• 1
• 2
• 3
• 4

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CCSS.4.G.A.1

CCSS.HSG.CO.A.1

If line m is the perpendicular bisector of segment AB, find the value of x.

• x = 8

• x = - 8

• x = 16

• x = - 16

Tags

CCSS.HSG.CO.C.9

Tags

CCSS.HSG.CO.C.9