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Building Polygons (Part 2): IM 7.7.7
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1. Lesson 7.7.7
- IM 7.7.7 Lesson: Building Polygons (Part 2)
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2. Practice 7.7.7
- IM 7.7.7 Practice: Building Polygons (Part 2)
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Building Polygons (Part 2): IM 7.7.7
IM 6 – 8 Math, GeoGebra Classroom Activities, Aug 18, 2020

“Building Polygons (Part 2)” from IM Grade 7 by Open Up Resources and Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 license.
Table of Contents
- Lesson 7.7.7
- IM 7.7.7 Lesson: Building Polygons (Part 2)
- Practice 7.7.7
- IM 7.7.7 Practice: Building Polygons (Part 2)
IM 7.7.7 Lesson: Building Polygons (Part 2)
At a park, the slide is 5 meters east of the swings. Lin is standing 3 meters away from the slide. Draw a diagram of the situation including a place where Lin could be.

How far away from the swings is Lin in your diagram?
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Where are some other places Lin could be?
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Use the applet to answer the questions below.

Build as many different triangles as you can that have one side length of 5 inches and one of 4 inches. Record the side lengths of each triangle you build.
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Are there any other lengths that could be used for the third side of the triangle but aren't values of the sliders?
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Are there any lengths that are values of the sliders but could not be used as the third side of the triangle?
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Assuming you had access to strips of any length, and you used the 9-inch and 5-inch strips as the first two sides, complete the sentences:
- The third side can't be _____ inches or longer.
- The third side can't be _____ inches or shorter.
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We'll explore a method for drawing a triangle that has three specific side lengths. Use the applet to answer the questions below.


Follow these instructions to mark the possible endpoints of one side:
- For now, ignore segment , the 3-inch side length on the left side
- Let segment be the 3-unit side length on the right side. Right-click on point , check Trace On. Rotate the point, drawing all the places where a 3-inch side could end.
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3. Use your drawing to create two unique triangles, each with a base of length 4 inches and a side of length 3 inches. Use a different color to draw each triangle.
4. Repeat the previous instructions, letting segment be the 3-unit side length.
5. Using a third color, draw a point where the two traces intersect. Using this third color, draw a triangle with side lengths of 4 inches, 3 inches, and 3 inches.
What do you notice?
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IM 7.7.7 Practice: Building Polygons (Part 2)
In the diagram, the length of segment AB is 10 units and the radius of the circle centered at A is 4 units. Use this to create two unique triangles, each with a side of length 10 and a side of length 4. Label the sides that have length 10 and 4.

Select all the sets of three side lengths that will make a triangle.
Based on signal strength, a person knows their lost phone is exactly 47 feet from the nearest cell tower. The person is currently standing 23 feet from the same cell tower.
- What is the closest the phone could be to the person?
- What is the furthest their phone could be from them?
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Each row contains the degree measures of two complementary angles. Complete the table.


Here are two patterns made using identical rhombuses. Without using a protractor, determine the value of a and b. Explain or show your reasoning.

Mai’s family is traveling in a car at a constant speed of 65 miles per hour.
At that speed, how long will it take them to travel 200 miles?
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How far do they travel in 25 minutes?
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