Lesson 2.3.5: Application of similar triangles
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For this lesson there are 10 steps for you to take. Scroll down and do each step one-by-one. The instructions under each step will help clarify exactly what you need to do, so please read all the instructions.
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Here is the Lesson 2.3.5 Worksheet
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1.) Start Notes: Targets
Title your notes and write the targets listed below.
Title your notes and write the targets listed below.
- I can use the rules of similar triangles to find missing heights and lengths.
2.) Notes: Warm Up
In your notes, follow these steps:
In your notes, follow these steps:
- Draw a right triangle (name it ABC and make sure angle B is the right angle).
- Dilate your triangle with a scale factor of 2 and the center of dilation is B.
- Using a ruler, find the lengths of your original 3 sides and your new 3 sides. Are the sides proportional?
3.) Video: Warm Up
Watch this video to see how I followed the steps of the warm up. |
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3b.) Video: Why shadows make similar triangles
Watch this video as a quick introduction to this lesson. We will be talking about shadows throughout this lesson and we need to understand why shadows make similar triangles. |
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4.) Notes: Practice 1
Copy an example of this image into your notes. Notice how the two triangles in this scenario are just like the dilation you made in the warm up. If the triangle made with the tree's height is a dilation of the triangle made with the flagpole's height, what can we assume about the triangles? This question is not asking you to calculate the height of the tree because there is not enough information. It is simply asking you to write an equation that would allow you to solve for h if you had more information. |
5.) Video: Practice 1
Watch this video to see how I set up an equation to solve for h. |
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6.) Notes: Practice 2
In this practice problem we do have enough information to find the height of the office building. Copy the image of the scenario into your notes, and then follow steps a-d. You should get the same answer for parts b-d. Each part simply asks you to find the answer a different way. If you get stuck, make sure to watch the next video. |
7.) Video: Practice 2
Watch this video to see the three methods I used to find the missing height. |
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9.) Video: Practice 3
Watch this video to see how I found the horizontal, vertical, and hypotenuse side lengths. |
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10.) Exit Ticket
Now it is your turn to show that you know how to apply similarity rules. Copy an example of this image into your notes, and then answer the question. Notice that point P is 8.5 feet away from the truck and the truck is 23 feet away from the house. Show me your awesome work when you are done. |