1 / 13

Indirect Measurement

This lesson explores the concept of indirect measurement by applying properties of similar figures. Students will learn to determine unknown measures by setting up proportions based on the relationships between corresponding sides and angles of similar triangles. Through contextual examples, such as measuring the width of a river or the height of a tree using shadows, students will practice solving real-world problems. Exercises include calculating lengths of sides in similar triangles and figuring out distances using diagrams.

kadeem-bell
Télécharger la présentation

Indirect Measurement

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. Indirect Measurement

  2. Warm-UpSolve each proportion. • 3 X 2. 6 2.4 5 75 X 8 3. 9 X 4. X 8 27 6 3.5 7 = = X = 20 X = 45 = = X = 2 X = 4

  3. What we are doing… Learn to find measures indirectly by applying the properties of similar figures.

  4. A F B C A A A A E G B B B B C C C C Indirect Measurement…. Notice how all angles are congruent. Which angle corresponds with angle F? Which angle corresponds with angle E? B A B Notice what happens as we turn the triangle. A

  5. F B 3 ft 9 ft A C 4 ft E G X Example 1; Triangles ABC and EFG are similar. Find the length of side EG. Triangles ABC and EFG are similar.

  6. Question 1: 1. Vilma wants to know how wide the river near her house is. She drew a diagram and labeled it with her measurements. How wide is the river?

  7. The diagram: W 21 m 7 m 15 m Work…

  8. Question 2: Julie wants to know how far it is from her house to the big oak tree. She drew a diagram and labeled it with her known measurements. How far is the tree from her house?

  9. 16 ft 24 ft 6 ft 4 ft 5 ft Diagram…. Work…..

  10. ?? 3 ft 6 ft 2 ft Question 3 A yardstick casts a 2-ft shadow. At the same time, a tree casts a shadow that is 6 ft long. How tall is the tree?

  11. 30 ft ????? 3 ft 18 ft Question 4; A 30 ft building casts a shadow that is 18 ft long. A nearby tree casts a shadow that is 3 ft long. How tall is the tree?

  12. AC = 30 D DC = 20 BE = 4 AB = ? E C A B Question 5 Triangles with triangles…

  13. AC = 24 D DC = ? BE = 8 AB = 4 E C A B Question 6;

More Related