lajos
Uploaded by
17 SLIDES
324 VIEWS
170LIKES

Splash Screen

DESCRIPTION

Explore the concept of indirect measurement through shadow reckoning and similar triangles in this lesson. Learn how to apply cross-products to find unknown heights, such as determining the height of a tree based on the lengths of shadows. Two examples illustrate how to set up proportions with similar triangles to solve real-world problems in surveying. Master the necessary vocabulary and techniques to calculate unknown distances and heights effectively, enhancing your problem-solving skills in geometry.

1 / 17

Download Presentation

Splash Screen

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Splash Screen

  2. Five-Minute Check (over Lesson 4–8) Main Idea and Vocabulary Example 1: Use Shadow Reckoning Example 2: Use Indirect Measurement Lesson Menu

  3. Solve problems involving similar triangles. • indirect measurement Main Idea/Vocabulary

  4. Use Shadow Reckoning TREES A tree in front of Marcel’s house has a shadow 12 feet long. Marcel’s shadow is 3 feet long. If Marcel is 5.5 feet tall, how tall is the tree? Example 1

  5. tree’s shadow tree’s height Marcel’s shadow Marcel’s height Use Shadow Reckoning 12 ● 5.5 = 3 ● h Find the cross products. Multiply. Divide each side by 3. Simplify. Answer: The tree is 22 feet tall. Example 1

  6. A B C D Jayson casts a shadow that is 10 feet long. At the same time, a flagpole casts a shadow that is 40 feet long. If the flagpole is 20 feet tall, how tall is Jayson? A. 4.5 feet B. 5 feet C. 5.5 feet D. 6 feet Example 1

  7. Use Indirect Measurement SURVEYING The two triangles shown in the figure are similar. Find the distance d across the stream. Example 2

  8. Use Indirect Measurement Write a proportion. AB= 48, ED=d, BC = 60, and DC = 20 48 ● 20 = d ● 60 Find the cross products. Multiply. Then divide each side by 60. Simplify. Answer: The distance across the stream is 16 meters. Example 2

  9. A B C D SURVEYINGThe two triangles shown in the figure are similar. Find the distance d across the stream. A. 6 feet B. 6.5 feet C. 7 feet D. 7.5 feet Example 2

  10. End of the Lesson End of the Lesson

  11. Five-Minute Check (over Lesson 4–8) Image Bank Math Tools Solving Proportions Dilations Similar Triangles Resources

  12. A B C D (over Lesson 4-8) Find the coordinates of the image of the parallelogram ABCD after a dilation with a scale factor of 2. Parallelogram ABCD has vertices at A(1, 1), B(3, 3), C(6, 3), D(4, 1). A. A′(2, 2), B′(6, 6), C′(12, 6), D′(8, 2) B. A′(1, 2), B′(5, 6), C′(12, 12), D′(8, 2) C. A′(6, 6), B′(2, 2), C′(12, 6), D′(2, 8) D.A′(2, 2), B′(6, 6), C′(6, 12), D′(8, 2) Five Minute Check 1

  13. A B C D A. B. C. D. (over Lesson 4-8) Five Minute Check 2

  14. A B C (over Lesson 4-8) Parallelogram ABCD has vertices at A(1, 1), B(3, 3), C(6, 3), D(4, 1). Identify whether the image of parallelogram ABCD after a dilation with a scale factor of 2 is an enlargement or a reduction. A. enlargement B. reduction C. cannot be determined Five Minute Check 3

  15. A B C (over Lesson 4-8) A. enlargement B. reduction C. cannot be determined Five Minute Check 4

  16. A B C D A. 3 B. 2 C. D. (over Lesson 4-8) Triangle M is similar to triangle N. What scale factor was used to dilate triangle N to M? Five Minute Check 5

  17. End of Custom Shows

More Related