Speedy Deliverys: IM Geo.1.9
[url=https://im.kendallhunt.com/HS/teachers/2/1/9/preparation.html]“Speedy Delivery”[/url] from IM Geometry © 2019 [url=https://www.illustrativemathematics.org/]Illustrative Mathematics[/url]. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0[/url] license.
Table of Contents
- Geo.1.9 Lesson
- IM Geo.1.9 Lesson: Speedy Delivery
- Geo.1.9 Practice
- IM Geo.1.9 Practice: Speedy Delivery
IM Geo.1.9 Lesson: Speedy Delivery
What do you notice? What do you wonder?
[img]data:image/png;base64,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[/img]
Here is a square city with 3 locations of the same store.
The company wants to break the city down into regions so that whenever someone orders from an address, their order is sent to the store closest to their home. They have hired you to decide how to partition the city between the 3 stores. Explain or show your reasoning.
If there are 100 employees, how should they be distributed among the 3 locations?[br]
Is there anywhere in the city that has the same distance to all 3 stores?[br]
Now a fourth store opens. Partition the city again.
[size=150][size=100]In 1854, there was an outbreak of cholera in London. A physician named John Snow thought the water supply might be responsible. He made a map showing the location of all the water pumps in the city and the locations of all the deaths due to cholera in the city. How could he have used the ideas in this activity to help isolate the cause of the outbreak? The diagrams you made in the activity and that Snow made are called Voronoi diagrams, and are still actively studied by mathematicians. [/size][/size]
Create a Voronoi diagram from a map.
Who might be interested in this information?[br]
Write a letter to the person or organization, explaining what the diagram tells them about the map you chose.[br]
Your teacher will assign you a tessellation.
[list][*]Imagine that each point is a store from the “Who Is Closest?” activity. Repeat the process you used there to define the regions that are closest to each of the points.[/*][*]Use the Polygon Tool and the color selector in the Style Bar to enhance your design.[/*][/list]
IM Geo.1.9 Practice: Speedy Delivery
[size=150]Which construction can be used to determine whether point [math]C[/math] is closer to point [math]A[/math] or point [math]B[/math]?[/size]
[size=150]The diagram is a straightedge and compass construction. Lines [math]l,m,[/math] and [math]n[/math] are the perpendicular bisectors of the sides of triangle . [/size][br][img]data:image/png;base64,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[/img][br]Select [b]all [/b]the true statements.
Decompose the figure into regions that are closest to each vertex. Explain or show your reasoning.
[size=150]Which construction could be used to construct an isosceles triangle [math]ABC[/math] given line segment [math]AB[/math]?[/size]
[size=150]Select [b]all[/b] true statements about regular polygons.[/size]
This diagram shows the beginning of a straightedge and compass construction of a rectangle.
[img]data:image/png;base64,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[/img][br][size=150]The construction followed these steps:[/size][br][list][*]Start with two marked points [math]A[/math] and [math]B[/math][/*][*]Use a straightedge to construct line [math]AB[/math][/*][*]Use a previous construction to construct a line perpendicular to [math]AB[/math] passing through [math]A[/math][/*][*]Use a previous construction to construct a line perpendicular to [math]AB[/math] passing through [math]B[/math][/*][*]Mark a point [math]C[/math] on the line perpendicular to [math]AB[/math] passing through [math]A[/math][/*][/list][br]Explain the steps needed to complete this construction.
This diagram is a straightedge and compass construction.
Is it important that the circle with center [math]B[/math] passes through [math]D[/math] and that the circle with center [math]D[/math] passes through [math]B[/math]? Show or explain your reasoning.