1. Similarity in Right Triangles
8-1
Similarity in Right Triangles
Holt McDougal Geometry
Holt Geometry

2. Warm Up 1. Write a similarity statement comparing the two triangles.
Simplify.
Solve each equation.
x2 = 50

3. The Arithmetic Sequence: This is a sequence where each consecutive number is found by adding or subtracting the previous number by a certain factor.
Ex:
The Arithmetic Mean: Average the numbers
What is the arithmetic mean of 5 and 10?

5. Find the Geometric Mean between 5 and 25.

6. In a right triangle, an altitude drawn from the vertex of the right angle to the hypotenuse forms two right triangles.

8. Write 3 proportions that can be used with this triangle.

9. Write 3 proportions that can be used with this triangle.

10. Example 3: Finding Side Lengths in Right Triangles
Find x, y, and z.

11. Find u, v, and w.

20. To estimate the height of a Douglas fir, Jan positions herself so that her lines of sight to the top and bottom of the tree form a 90º angle. Her eyes are about 1.6 m above the ground, and she is standing 7.8 m from the tree. What is the height of the tree to the nearest meter?

21. A surveyor positions himself so that his line of sight to the top of a cliff and his line of sight to the bottom form a right angle as shown.
What is the height of the cliff to the nearest foot?

22. Lesson Quiz: Part I
Find the geometric mean of each pair of numbers. If necessary, give the answer in simplest radical form.
8 and 18
2. 6 and 15

23. 3. If PS = 6 and PT = 9, find PR.
4. If TP = 24 and PR = 6, find RS.