GEOMETRY Chapter 9 9 1 Similar Right Triangles
![GEOMETRY: Chapter 9 9. 1 Similar Right Triangles GEOMETRY: Chapter 9 9. 1 Similar Right Triangles](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-1.jpg)
![Theorem 9. 1 If the altitude is drawn to the hypotenuse of a right Theorem 9. 1 If the altitude is drawn to the hypotenuse of a right](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-2.jpg)
![Ex. 1: Identify the similar triangles in the diagram. Answer: tri DEF ~ triangle Ex. 1: Identify the similar triangles in the diagram. Answer: tri DEF ~ triangle](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-3.jpg)
![Ex. 2: The figure below shows the side view of a tool shed. What Ex. 2: The figure below shows the side view of a tool shed. What](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-4.jpg)
![Ex. 3: Find the value of k. Answer: 2 sq root 5 Images taken Ex. 3: Find the value of k. Answer: 2 sq root 5 Images taken](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-5.jpg)
![Theorem 9. 2 Geometric Mean (Altitude) Theorem In a right triangle, the altitude from Theorem 9. 2 Geometric Mean (Altitude) Theorem In a right triangle, the altitude from](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-6.jpg)
![Theorem 9. 3 Geometric Mean (Leg) Theorem In a right triangle, the altitude from Theorem 9. 3 Geometric Mean (Leg) Theorem In a right triangle, the altitude from](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-7.jpg)
![Ex. 4: You are standing by a tree as shown in the diagram. A Ex. 4: You are standing by a tree as shown in the diagram. A](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-8.jpg)
![9. 1, p. 531, #1 -29 odds (15 questions) 9. 1, p. 531, #1 -29 odds (15 questions)](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-9.jpg)
- Slides: 9
![GEOMETRY Chapter 9 9 1 Similar Right Triangles GEOMETRY: Chapter 9 9. 1 Similar Right Triangles](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-1.jpg)
GEOMETRY: Chapter 9 9. 1 Similar Right Triangles
![Theorem 9 1 If the altitude is drawn to the hypotenuse of a right Theorem 9. 1 If the altitude is drawn to the hypotenuse of a right](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-2.jpg)
Theorem 9. 1 If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other. Image taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 449.
![Ex 1 Identify the similar triangles in the diagram Answer tri DEF triangle Ex. 1: Identify the similar triangles in the diagram. Answer: tri DEF ~ triangle](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-3.jpg)
Ex. 1: Identify the similar triangles in the diagram. Answer: tri DEF ~ triangle DGE ~ Tri EGF Images taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 450.
![Ex 2 The figure below shows the side view of a tool shed What Ex. 2: The figure below shows the side view of a tool shed. What](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-4.jpg)
Ex. 2: The figure below shows the side view of a tool shed. What is the maximum height, h, of the shed? Answer: 16. 1 ft Images taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 450.
![Ex 3 Find the value of k Answer 2 sq root 5 Images taken Ex. 3: Find the value of k. Answer: 2 sq root 5 Images taken](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-5.jpg)
Ex. 3: Find the value of k. Answer: 2 sq root 5 Images taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 451.
![Theorem 9 2 Geometric Mean Altitude Theorem In a right triangle the altitude from Theorem 9. 2 Geometric Mean (Altitude) Theorem In a right triangle, the altitude from](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-6.jpg)
Theorem 9. 2 Geometric Mean (Altitude) Theorem In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of the altitude is the geometric mean of the lengths of the other two sides. Images taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 452.
![Theorem 9 3 Geometric Mean Leg Theorem In a right triangle the altitude from Theorem 9. 3 Geometric Mean (Leg) Theorem In a right triangle, the altitude from](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-7.jpg)
Theorem 9. 3 Geometric Mean (Leg) Theorem In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse that is adjacent to the leg. Images taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 452.
![Ex 4 You are standing by a tree as shown in the diagram A Ex. 4: You are standing by a tree as shown in the diagram. A](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-8.jpg)
Ex. 4: You are standing by a tree as shown in the diagram. A 25 foot ladder is leaning against the tree. What is the length of a piece of rope that goes from the base of the tree and is perpendicular to the ladder? Answer: 4. 9 ft Images taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 452.
![9 1 p 531 1 29 odds 15 questions 9. 1, p. 531, #1 -29 odds (15 questions)](https://slidetodoc.com/presentation_image/a60185b74a784a40f9dd8d83e5582591/image-9.jpg)
9. 1, p. 531, #1 -29 odds (15 questions)